Level 28 • 50/50 questions • 30 seconds per question.
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What is the degree of \(0x^9+6x^5-4x^2+3\)?
B. (5)
\(0x^9\) is a zero term. The remaining highest power is (5).
The correct answer is B. (5). \(0x^9\) is a zero term. The remaining highest power is (5).
\(0x^9\) शून्य पद है। बची हुई सबसे बड़ी घात (5) है।
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When will the degree of ((a+4)x-6+3x-2-8) be (6)?
C. जब \(a\neq-4\)When \(a\neq-4\)
For degree (6), the coefficient of \(x^6\) must not be zero. So \(a+4\neq0\).
The correct answer is C. जब \(a\neq-4\) / When \(a\neq-4\). For degree (6), the coefficient of \(x^6\) must not be zero. So \(a+4\neq0\).
डिग्री (6) के लिए \(x^6\) का गुणांक शून्य नहीं होना चाहिए। इसलिए \(a+4\neq0\) होना चाहिए।
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If (k=5), what will be the degree of ((k-5)x-7+4x-3-x+2)?
C. (3)
Putting (k=5) makes the coefficient of \(x^7\) equal to (0). In the remaining polynomial, the highest power is (3).
The correct answer is C. (3). Putting (k=5) makes the coefficient of \(x^7\) equal to (0). In the remaining polynomial, the highest power is (3).
(k=5) रखने पर \(x^7\) का गुणांक (0) हो जाता है। शेष बहुपद में सबसे बड़ी घात (3) है।
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For which value will ((m+6)x-4-2x+9) become a linear polynomial?
B. (m=-6)
To become linear, the coefficient of \(x^4\) must be (0). From (m+6=0), we get (m=-6).
The correct answer is B. (m=-6). To become linear, the coefficient of \(x^4\) must be (0). From (m+6=0), we get (m=-6).
रेखीय बनने के लिए \(x^4\) का गुणांक (0) होना चाहिए। (m+6=0) से (m=-6) मिलता है।
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Why is \(3x^2+\sqrt{2x-1}\) not a polynomial?
C. क्योंकि (2x-1) मूल चिह्न के अंदर हैBecause (2x-1) is inside a radical sign
\(\sqrt{2x-1}\) is not a term with valid polynomial powers. Therefore the whole expression is not a polynomial.
The correct answer is C. क्योंकि (2x-1) मूल चिह्न के अंदर है / Because (2x-1) is inside a radical sign. \(\sqrt{2x-1}\) is not a term with valid polynomial powers. Therefore the whole expression is not a polynomial.
\(\sqrt{2x-1}\) बहुपद की मान्य घातों वाला पद नहीं है। इसलिए पूरा व्यंजक बहुपद नहीं है।
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If (p(x)=5x-5+0x-4-3x+6), what is the coefficient of \(x^4\)?
C. (0)
The term containing \(x^4\) is \(0x^4\). Therefore the coefficient of \(x^4\) is (0).
The correct answer is C. (0). The term containing \(x^4\) is \(0x^4\). Therefore the coefficient of \(x^4\) is (0).
\(x^4\) वाला पद \(0x^4\) है। इसलिए \(x^4\) का गुणांक (0) है।
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Which option is a quadratic polynomial in (x)?
A. \(3x^2-\pi x+\sqrt{7}\)
In the first expression, the highest power is (2), and all powers are valid. So it is a quadratic polynomial.
The correct answer is A. \(3x^2-\pi x+\sqrt{7}\). In the first expression, the highest power is (2), and all powers are valid. So it is a quadratic polynomial.
पहले व्यंजक में सबसे बड़ी घात (2) है और सभी घातें मान्य हैं। इसलिए यह द्विघात बहुपद है।
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Why is \(\frac{x^5+3x^2}{x^2}\) not considered a polynomial in its original form?
A. क्योंकि चर हर में हैBecause the variable is in the denominator
In the original form, \(x^2\) is in the denominator. While simplifying to polynomial form, the domain condition must also be considered.
The correct answer is A. क्योंकि चर हर में है / Because the variable is in the denominator. In the original form, \(x^2\) is in the denominator. While simplifying to polynomial form, the domain condition must also be considered.
मूल रूप में हर में \(x^2\) है। बहुपद रूप के लिए सरल करते समय डोमेन शर्त भी ध्यान रखनी होती है।
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What is obtained by simplifying \(\frac{x^5+3x^2}{x^2}\) for \(x\neq0\)?
A. \(x^3+3\)
For \(x\neq0\), \(\frac{x^5}{x^2}=x^3\) and \(\frac{3x^2}{x^2}=3\). So the simplified form is \(x^3+3\).
The correct answer is A. \(x^3+3\). For \(x\neq0\), \(\frac{x^5}{x^2}=x^3\) and \(\frac{3x^2}{x^2}=3\). So the simplified form is \(x^3+3\).
\(x\neq0\) पर \(\frac{x^5}{x^2}=x^3\) और \(\frac{3x^2}{x^2}=3\) होता है। इसलिए सरल रूप \(x^3+3\) है।
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What is the degree of the simplified form \(x^3+3\)?
C. (3)
In \(x^3+3\), the highest power is (3). Therefore its degree is (3).
The correct answer is C. (3). In \(x^3+3\), the highest power is (3). Therefore its degree is (3).
\(x^3+3\) में सबसे बड़ी घात (3) है। इसलिए इसकी डिग्री (3) है।
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Is \(4x^2-5|x|+8\) a polynomial or not?
C. नहीं क्योंकि (|x|) बहुपद पद नहीं हैNo because (|x|) is not a polynomial term
(|x|) is not written as a term with non-negative integer powers of (x). Therefore it is not a polynomial.
The correct answer is C. नहीं क्योंकि (|x|) बहुपद पद नहीं है / No because (|x|) is not a polynomial term. (|x|) is not written as a term with non-negative integer powers of (x). Therefore it is not a polynomial.
(|x|) को (x) की अऋणात्मक पूर्णांक घातों वाले पद की तरह नहीं लिखा जाता। इसलिए यह बहुपद नहीं है।
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If \(a\neq0\) and (b=0), what will be the degree of \(ax^8+bx^6-5x+2\)?
A. (8)
Since \(a\neq0\), the \(x^8\) term remains present. Therefore the highest power is (8).
The correct answer is A. (8). Since \(a\neq0\), the \(x^8\) term remains present. Therefore the highest power is (8).
\(a\neq0\) होने से \(x^8\) पद मौजूद रहेगा। इसलिए सबसे बड़ी घात (8) है।
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If (a=0) and \(b\neq0\), what will be the degree of \(ax^8+bx^6-5x+2\)?
B. (6)
When (a=0), the \(x^8\) term disappears. Since \(b\neq0\), the \(x^6\) term remains present.
The correct answer is B. (6). When (a=0), the \(x^8\) term disappears. Since \(b\neq0\), the \(x^6\) term remains present.
(a=0) होने से \(x^8\) पद हट जाता है। \(b\neq0\) होने से \(x^6\) पद मौजूद रहता है।
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When will (\(t^2-9\)x-3+6x+1) become a linear polynomial?
A. जब (t=3) या (t=-3)When (t=3) or (t=-3)
To become linear, the coefficient of \(x^3\) must be (0). From \(t^2-9=0\), we get \(t=\pm3\).
The correct answer is A. जब (t=3) या (t=-3) / When (t=3) or (t=-3). To become linear, the coefficient of \(x^3\) must be (0). From \(t^2-9=0\), we get \(t=\pm3\).
रेखीय बनने के लिए \(x^3\) का गुणांक (0) होना चाहिए। \(t^2-9=0\) से \(t=\pm3\) मिलता है।
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When will ((r+4)x-2+(r-1)x+10) become a constant polynomial?
D. कभी नहींNever
To become constant, both (r+4=0) and (r-1=0) are required. One value of (r) cannot satisfy both conditions.
The correct answer is D. कभी नहीं / Never. To become constant, both (r+4=0) and (r-1=0) are required. One value of (r) cannot satisfy both conditions.
नियतांक बनने के लिए (r+4=0) और (r-1=0) दोनों चाहिए। एक ही (r) दोनों शर्तें पूरी नहीं कर सकता।
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Which expression is a polynomial in (x) while (y) is treated as a coefficient?
A. \(y^2x^3-2yx+5\)
With respect to (x), \(y^2\) and (-2y) are coefficients. The powers of (x) are (3), (1), and (0).
The correct answer is A. \(y^2x^3-2yx+5\). With respect to (x), \(y^2\) and (-2y) are coefficients. The powers of (x) are (3), (1), and (0).
(x) के संदर्भ में \(y^2\) और (-2y) गुणांक हैं। (x) की घातें (3), (1), और (0) हैं।
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In \(9x^7-2x^5+4\), what are the coefficients of \(x^6\), \(x^4\), and (x)?
B. (0), (0), और (0)(0), (0), and (0)
The terms with these three powers are absent. Therefore their coefficients are (0), (0), and (0).
The correct answer is B. (0), (0), और (0) / (0), (0), and (0). The terms with these three powers are absent. Therefore their coefficients are (0), (0), and (0).
इन तीनों घातों वाले पद अनुपस्थित हैं। इसलिए इनके गुणांक (0), (0), और (0) हैं।
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If (n=-2), what will be the degree of (\(n^2-4\)x-6+(n+5)x-3-7)?
B. (3)
Putting (n=-2), the coefficient of \(x^6\) is (0) and the coefficient of \(x^3\) is (3). Therefore the degree is (3).
The correct answer is B. (3). Putting (n=-2), the coefficient of \(x^6\) is (0) and the coefficient of \(x^3\) is (3). Therefore the degree is (3).
(n=-2) रखने पर \(x^6\) का गुणांक (0) और \(x^3\) का गुणांक (3) होता है। इसलिए डिग्री (3) है।
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Which option has degree (5) and a negative leading coefficient?
B. \(-7x^5+x^2-4\)
\(-7x^5+x^2-4\) has degree (5) and leading coefficient (-7). Therefore it is the correct option.
The correct answer is B. \(-7x^5+x^2-4\). \(-7x^5+x^2-4\) has degree (5) and leading coefficient (-7). Therefore it is the correct option.
\(-7x^5+x^2-4\) की डिग्री (5) है और अग्रणी गुणांक (-7) है। इसलिए यह सही विकल्प है।
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What is obtained by simplifying (x-2\(x^3-4\)-x-5+7x-2)?
B. \(3x^2\)
(x-2\(x^3-4\)=x-5-4x-2), then \(-x^5\) cancels \(x^5\). The simplified form is \(3x^2\).
The correct answer is B. \(3x^2\). (x-2\(x^3-4\)=x-5-4x-2), then \(-x^5\) cancels \(x^5\). The simplified form is \(3x^2\).
(x-2\(x^3-4\)=x-5-4x-2), फिर \(-x^5\) से \(x^5\) कट जाता है। सरल रूप \(3x^2\) है।
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What type of polynomial is the simplified form \(3x^2\)?
B. द्विघात एकपदी बहुपदQuadratic monomial polynomial
\(3x^2\) has one term and the highest power is (2). So it is a quadratic monomial polynomial.
The correct answer is B. द्विघात एकपदी बहुपद / Quadratic monomial polynomial. \(3x^2\) has one term and the highest power is (2). So it is a quadratic monomial polynomial.
\(3x^2\) में एक पद है और सबसे बड़ी घात (2) है। इसलिए यह द्विघात एकपदी बहुपद है।
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Which conclusion is correct for \(x^0-\sqrt{5}x^4+\frac{3x}{8}\)?
B. यह बहुपद है और डिग्री (4) हैIt is a polynomial and degree is (4)
\(-\sqrt{5}\) and \(\frac{3}{8}\) are real coefficients. The powers of (x) are (0), (4), and (1).
The correct answer is B. यह बहुपद है और डिग्री (4) है / It is a polynomial and degree is (4). \(-\sqrt{5}\) and \(\frac{3}{8}\) are real coefficients. The powers of (x) are (0), (4), and (1).
\(-\sqrt{5}\) और \(\frac{3}{8}\) वास्तविक गुणांक हैं। (x) की घातें (0), (4), और (1) हैं।
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If (c=0), what will be the degree of (cx-8+(c+2)x-5-4x+1)?
B. (5)
For (c=0), the \(x^8\) term disappears and the coefficient of \(x^5\) remains (2). Therefore the degree is (5).
The correct answer is B. (5). For (c=0), the \(x^8\) term disappears and the coefficient of \(x^5\) remains (2). Therefore the degree is (5).
(c=0) पर \(x^8\) पद हट जाता है और \(x^5\) का गुणांक (2) रहता है। इसलिए डिग्री (5) है।
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What is obtained by simplifying \(x^3+\frac{x^2-9}{x-3}\) for \(x\neq3\)?
B. \(x^3+x+3\)
\(\frac{x^2-9}{x-3}=x+3\) when \(x\neq3\). Therefore the simplified form is \(x^3+x+3\).
The correct answer is B. \(x^3+x+3\). \(\frac{x^2-9}{x-3}=x+3\) when \(x\neq3\). Therefore the simplified form is \(x^3+x+3\).
\(\frac{x^2-9}{x-3}=x+3\) जब \(x\neq3\)। इसलिए सरल रूप \(x^3+x+3\) है।
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What type of polynomial is the simplified form \(x^3+x+3\)?
C. त्रिघात बहुपदCubic polynomial
In \(x^3+x+3\), the highest power is (3). Therefore it is a cubic polynomial.
The correct answer is C. त्रिघात बहुपद / Cubic polynomial. In \(x^3+x+3\), the highest power is (3). Therefore it is a cubic polynomial.
\(x^3+x+3\) में सबसे बड़ी घात (3) है। इसलिए यह त्रिघात बहुपद है।
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What is the degree of \(x^6+x^4+x^0\)?
C. (6)
\(x^0=1\), and the highest power is (6). Therefore the degree is (6).
The correct answer is C. (6). \(x^0=1\), and the highest power is (6). Therefore the degree is (6).
\(x^0=1\) होता है और सबसे बड़ी घात (6) है। इसलिए डिग्री (6) है।
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If (a=0), \(b\neq0\), what will be the degree of \(ax^6+bx^4+x-1\)?
B. (4)
Since (a=0), the \(x^6\) term disappears, and since \(b\neq0\), the \(x^4\) term remains. So the degree is (4).
The correct answer is B. (4). Since (a=0), the \(x^6\) term disappears, and since \(b\neq0\), the \(x^4\) term remains. So the degree is (4).
(a=0) होने से \(x^6\) पद हटता है और \(b\neq0\) होने से \(x^4\) पद बचता है। इसलिए डिग्री (4) है।
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How many non-zero terms are there in \(8x^5+0x^4-3x^2+0x+6\)?
B. (3)
\(0x^4\) and (0x) are zero terms. The remaining \(8x^5\), \(-3x^2\), and (6) are three non-zero terms.
The correct answer is B. (3). \(0x^4\) and (0x) are zero terms. The remaining \(8x^5\), \(-3x^2\), and (6) are three non-zero terms.
\(0x^4\) और (0x) शून्य पद हैं। बाकी \(8x^5\), \(-3x^2\), और (6) तीन अशून्य पद हैं।
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Which statement is correct for \(\frac{x^4}{3}-\sqrt{10}x^2+7\)?
B. यह बहुपद है और डिग्री (4) हैIt is a polynomial and degree is (4)
Fractional and irrational real coefficients are valid in a polynomial. The highest power is (4).
The correct answer is B. यह बहुपद है और डिग्री (4) है / It is a polynomial and degree is (4). Fractional and irrational real coefficients are valid in a polynomial. The highest power is (4).
भिन्न और अपरिमेय वास्तविक गुणांक बहुपद में मान्य होते हैं। सबसे बड़ी घात (4) है।
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If (q(x)=x-6+x^{\frac{3}{2}}+2), why is (q(x)) not a polynomial?
C. क्योंकि \(x^{\frac{3}{2}}\) की घात भिन्न हैBecause \(x^{\frac{3}{2}}\) has a fractional power
In \(x^{\frac{3}{2}}\), the variable has a fractional power. Fractional powers are not valid in a polynomial.
The correct answer is C. क्योंकि \(x^{\frac{3}{2}}\) की घात भिन्न है / Because \(x^{\frac{3}{2}}\) has a fractional power. In \(x^{\frac{3}{2}}\), the variable has a fractional power. Fractional powers are not valid in a polynomial.
\(x^{\frac{3}{2}}\) में चर की घात भिन्न है। बहुपद में भिन्न घात मान्य नहीं होती।
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When will ((u+2)x-4+(u+2)x+15) become a constant polynomial?
B. जब (u=-2)When (u=-2)
To become constant, the coefficients of both \(x^4\) and (x) must be (0). From (u+2=0), both terms disappear.
The correct answer is B. जब (u=-2) / When (u=-2). To become constant, the coefficients of both \(x^4\) and (x) must be (0). From (u+2=0), both terms disappear.
नियतांक बनने के लिए \(x^4\) और (x) दोनों के गुणांक (0) चाहिए। (u+2=0) से दोनों पद हट जाते हैं।
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Which expression is a polynomial whose degree is greater than (3)?
C. \(x^6-2x^2+9\)
\(x^6-2x^2+9\) is a polynomial and its degree is (6). (6) is greater than (3).
The correct answer is C. \(x^6-2x^2+9\). \(x^6-2x^2+9\) is a polynomial and its degree is (6). (6) is greater than (3).
\(x^6-2x^2+9\) बहुपद है और इसकी डिग्री (6) है। (6), (3) से अधिक है।
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In \(6x^8-5x^6+3\), what are the coefficients of \(x^7\), \(x^5\), and (x)?
B. (0), (0), और (0)(0), (0), and (0)
The terms with these powers are not present in the polynomial. Therefore all three coefficients are (0).
The correct answer is B. (0), (0), और (0) / (0), (0), and (0). The terms with these powers are not present in the polynomial. Therefore all three coefficients are (0).
इन घातों वाले पद बहुपद में नहीं हैं। इसलिए तीनों गुणांक (0) हैं।
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If (r=3), what will be the degree of (\(r^2-9\)x-7+(r-1)x-4+x-2)?
B. (4)
For (r=3), the coefficient of \(x^7\) is (0) and the coefficient of \(x^4\) is (2). Therefore the degree is (4).
The correct answer is B. (4). For (r=3), the coefficient of \(x^7\) is (0) and the coefficient of \(x^4\) is (2). Therefore the degree is (4).
(r=3) पर \(x^7\) का गुणांक (0) और \(x^4\) का गुणांक (2) होता है। इसलिए डिग्री (4) है।
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What is obtained by simplifying (x-3\(x^2-5\)-x-5+9x-3)?
B. \(4x^3\)
(x-3\(x^2-5\)=x-5-5x-3), then \(-x^5\) cancels \(x^5\). The simplified form is \(4x^3\).
The correct answer is B. \(4x^3\). (x-3\(x^2-5\)=x-5-5x-3), then \(-x^5\) cancels \(x^5\). The simplified form is \(4x^3\).
(x-3\(x^2-5\)=x-5-5x-3), फिर \(-x^5\) से \(x^5\) कटता है। सरल रूप \(4x^3\) है।
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What type of polynomial is the simplified form \(4x^3\)?
C. त्रिघात एकपदी बहुपदCubic monomial polynomial
\(4x^3\) has one term and the highest power is (3). So it is a cubic monomial polynomial.
The correct answer is C. त्रिघात एकपदी बहुपद / Cubic monomial polynomial. \(4x^3\) has one term and the highest power is (3). So it is a cubic monomial polynomial.
\(4x^3\) में एक पद है और सबसे बड़ी घात (3) है। इसलिए यह त्रिघात एकपदी बहुपद है।
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Which conclusion is correct for \(x^0+\sqrt{2}x^5-\frac{4x^2}{9}\)?
B. यह बहुपद है और डिग्री (5) हैIt is a polynomial and degree is (5)
\(\sqrt{2}\) and \(-\frac{4}{9}\) are real coefficients. The powers of (x) are (0), (5), and (2).
The correct answer is B. यह बहुपद है और डिग्री (5) है / It is a polynomial and degree is (5). \(\sqrt{2}\) and \(-\frac{4}{9}\) are real coefficients. The powers of (x) are (0), (5), and (2).
\(\sqrt{2}\) और \(-\frac{4}{9}\) वास्तविक गुणांक हैं। (x) की घातें (0), (5), और (2) हैं।
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If (d=-1), what will be the degree of ((d+1)x-5+(2d+3)x-2+7)?
B. (2)
Putting (d=-1) makes the coefficient of \(x^5\) equal to (0) and the coefficient of \(x^2\) equal to (1). So the highest power is (2).
The correct answer is B. (2). Putting (d=-1) makes the coefficient of \(x^5\) equal to (0) and the coefficient of \(x^2\) equal to (1). So the highest power is (2).
(d=-1) रखने पर \(x^5\) का गुणांक (0) और \(x^2\) का गुणांक (1) होता है। इसलिए सबसे बड़ी घात (2) है।
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For which value will the degree of ((2a-8)x-6+(a+1)x-3+4) be (3)?
C. (a=4)
For degree (3), the coefficient of \(x^6\) must be (0) and the coefficient of \(x^3\) must remain non-zero. From (2a-8=0), (a=4).
The correct answer is C. (a=4). For degree (3), the coefficient of \(x^6\) must be (0) and the coefficient of \(x^3\) must remain non-zero. From (2a-8=0), (a=4).
डिग्री (3) के लिए \(x^6\) का गुणांक (0) होना चाहिए और \(x^3\) का गुणांक अशून्य रहना चाहिए। (2a-8=0) से (a=4) मिलता है।
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Why is \(\frac{x^2-4}{x-2}\) not considered a polynomial in its original form?
C. क्योंकि चर हर में हैBecause the variable is in the denominator
In the original form, the denominator is (x-2), so it is not directly called a polynomial. Even after simplifying, the condition \(x\neq2\) remains.
The correct answer is C. क्योंकि चर हर में है / Because the variable is in the denominator. In the original form, the denominator is (x-2), so it is not directly called a polynomial. Even after simplifying, the condition \(x\neq2\) remains.
मूल रूप में हर (x-2) है, इसलिए यह सीधे बहुपद नहीं कहलाता। सरल करने पर भी \(x\neq2\) की शर्त रहती है।
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What is obtained by simplifying \(\frac{x^2-4}{x-2}\) for \(x\neq2\)?
B. (x+2)
(\frac{x-2-4}{x-2}=\frac{(x-2)(x+2)}{x-2}=x+2) when \(x\neq2\). Factor first.
The correct answer is B. (x+2). (\frac{x-2-4}{x-2}=\frac{(x-2)(x+2)}{x-2}=x+2) when \(x\neq2\). Factor first.
(\frac{x-2-4}{x-2}=\frac{(x-2)(x+2)}{x-2}=x+2) जब \(x\neq2\)। पहले गुणनखंड बनाएं।
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What type of polynomial is the simplified form (x+2)?
D. रेखीय बहुपदLinear polynomial
In (x+2), the highest power is (1). Therefore it is a linear polynomial.
The correct answer is D. रेखीय बहुपद / Linear polynomial. In (x+2), the highest power is (1). Therefore it is a linear polynomial.
(x+2) में सबसे बड़ी घात (1) है। इसलिए यह रेखीय बहुपद है।
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Which expression is a polynomial in (x) but has coefficient of \(x^3\) equal to (0)?
A. \(2x^4-5x^2+1\)
\(2x^4-5x^2+1\) is a polynomial and the \(x^3\) term is absent. So the coefficient of \(x^3\) is (0).
The correct answer is A. \(2x^4-5x^2+1\). \(2x^4-5x^2+1\) is a polynomial and the \(x^3\) term is absent. So the coefficient of \(x^3\) is (0).
\(2x^4-5x^2+1\) बहुपद है और इसमें \(x^3\) पद अनुपस्थित है। इसलिए \(x^3\) का गुणांक (0) है।
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Which option is a polynomial and all its non-zero variable terms have even powers?
B. \(3x^4-2x^2+9\)
In \(3x^4-2x^2+9\), the non-zero variable term powers are (4) and (2). Both are even and valid powers.
The correct answer is B. \(3x^4-2x^2+9\). In \(3x^4-2x^2+9\), the non-zero variable term powers are (4) and (2). Both are even and valid powers.
\(3x^4-2x^2+9\) में चर वाले अशून्य पदों की घातें (4) और (2) हैं। दोनों सम और मान्य घातें हैं।
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When will (\(w^2-1\)x-4+(w-1)x-2+6) become a constant polynomial?
A. जब (w=1)When (w=1)
To become constant, both \(w^2-1=0\) and (w-1=0) are needed. Both conditions are satisfied together at (w=1).
The correct answer is A. जब (w=1) / When (w=1). To become constant, both \(w^2-1=0\) and (w-1=0) are needed. Both conditions are satisfied together at (w=1).
नियतांक बनने के लिए \(w^2-1=0\) और (w-1=0) दोनों चाहिए। दोनों शर्तें साथ में (w=1) पर पूरी होती हैं।
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If (z=-2), what will be the degree of ((z+2)x-5+\(z^2-4\)x-3+9x-1)?
C. (1)
For (z=-2), the coefficients of both \(x^5\) and \(x^3\) become (0). The remaining highest power is (1).
The correct answer is C. (1). For (z=-2), the coefficients of both \(x^5\) and \(x^3\) become (0). The remaining highest power is (1).
(z=-2) पर \(x^5\) और \(x^3\) दोनों के गुणांक (0) हो जाते हैं। बची हुई सबसे बड़ी घात (1) है।
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Which expression is not a polynomial because the variable appears as an exponent?
A. \(2^x+3\)
In \(2^x\), the variable is in the exponent. In a polynomial, the variable is the base with a non-negative integer power.
The correct answer is A. \(2^x+3\). In \(2^x\), the variable is in the exponent. In a polynomial, the variable is the base with a non-negative integer power.
\(2^x\) में चर घात के स्थान पर है। बहुपद में चर आधार में होता है और उसकी घात अऋणात्मक पूर्णांक होती है।
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Which expression is a polynomial in (x) and has degree (0)?
B. (6y-4)
With respect to (x), (6y-4) is a non-zero constant. Therefore it is a polynomial in (x) of degree (0).
The correct answer is B. (6y-4). With respect to (x), (6y-4) is a non-zero constant. Therefore it is a polynomial in (x) of degree (0).
(x) के संदर्भ में (6y-4) अशून्य नियतांक है। इसलिए यह (x) में डिग्री (0) का बहुपद है।
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In \(x^4-4x^2+4\), what are the coefficients of \(x^3\) and (x) respectively?
B. (0) और (0)(0) and (0)
The \(x^3\) and (x) terms are not present in this polynomial. Therefore both coefficients are (0).
The correct answer is B. (0) और (0) / (0) and (0). The \(x^3\) and (x) terms are not present in this polynomial. Therefore both coefficients are (0).
इस बहुपद में \(x^3\) और (x) पद नहीं हैं। इसलिए दोनों गुणांक (0) हैं।
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Which option correctly identifies a polynomial with missing powers?
A. \(x^5+x^2+1\) में \(x^4\) और \(x^3\) के गुणांक (0) हैंIn \(x^5+x^2+1\), coefficients of \(x^4\) and \(x^3\) are (0)
Coefficients of absent terms are taken as (0). Here the \(x^4\) and \(x^3\) terms are absent.
The correct answer is A. \(x^5+x^2+1\) में \(x^4\) और \(x^3\) के गुणांक (0) हैं / In \(x^5+x^2+1\), coefficients of \(x^4\) and \(x^3\) are (0). Coefficients of absent terms are taken as (0). Here the \(x^4\) and \(x^3\) terms are absent.
अनुपस्थित पदों के गुणांक (0) माने जाते हैं। यहां \(x^4\) और \(x^3\) पद नहीं हैं।
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