Level 33 • 50/50 questions • 35 seconds per question.
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If (p(x)=4x+7), what is the value of (p(3)-p(1))?
B. (8)
(p(3)=19) and (p(1)=11). Therefore the difference is (8).
The correct answer is B. (8). (p(3)=19) and (p(1)=11). Therefore the difference is (8).
(p(3)=19) और (p(1)=11) हैं। इसलिए अंतर (8) है।
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For which value will ((m+4)x-9) not remain a linear polynomial?
C. (m=-4)
To be linear, the coefficient of (x) must be non-zero. At (m=-4), (m+4=0).
The correct answer is C. (m=-4). To be linear, the coefficient of (x) must be non-zero. At (m=-4), (m+4=0).
रेखीय होने के लिए (x) का गुणांक शून्य नहीं होना चाहिए। (m=-4) पर (m+4=0) हो जाता है।
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What is the zero of the linear polynomial (6x-18)?
B. (3)
From (6x-18=0), we get (x=3). Set the polynomial equal to (0) to find the zero.
The correct answer is B. (3). From (6x-18=0), we get (x=3). Set the polynomial equal to (0) to find the zero.
(6x-18=0) से (x=3) मिलता है। शून्यक के लिए बहुपद को (0) रखें।
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After simplifying (5(x-2)-3x+4), which polynomial is obtained?
A. (2x-6)
(5(x-2)-3x+4=5x-10-3x+4=2x-6). Open brackets first.
The correct answer is A. (2x-6). (5(x-2)-3x+4=5x-10-3x+4=2x-6). Open brackets first.
(5(x-2)-3x+4=5x-10-3x+4=2x-6) है। पहले कोष्ठक खोलें।
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If the zero of (p(x)=ax+12) is (3), what is the value of (a)?
B. (-4)
Since the zero is (3), (3a+12=0). Therefore (a=-4).
The correct answer is B. (-4). Since the zero is (3), (3a+12=0). Therefore (a=-4).
शून्यक (3) होने से (3a+12=0) होगा। इसलिए (a=-4) है।
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Which option simplifies to the linear polynomial (2x+5)?
A. (5x-3x+5)
(5x-3x+5=2x+5). Simplify by combining like terms.
The correct answer is A. (5x-3x+5). (5x-3x+5=2x+5). Simplify by combining like terms.
(5x-3x+5=2x+5) है। समान पदों को मिलाकर सरल करें।
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If (p(x)=3x-5) and (q(x)=x+7), what is the degree of (p(x)+q(x))?
B. (1)
The sum is (4x+2), whose highest power is (1). Therefore the degree is (1).
The correct answer is B. (1). The sum is (4x+2), whose highest power is (1). Therefore the degree is (1).
योग (4x+2) है जिसकी सबसे बड़ी घात (1) है। इसलिए डिग्री (1) है।
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If (p(x)=5x+4) and (q(x)=5x-6), what type of polynomial is (p(x)-q(x))?
B. नियतांक बहुपदConstant polynomial
(p(x)-q(x)=10). It is a non-zero constant polynomial.
The correct answer is B. नियतांक बहुपद / Constant polynomial. (p(x)-q(x)=10). It is a non-zero constant polynomial.
(p(x)-q(x)=10) है। यह अशून्य नियतांक बहुपद है।
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For which value will the zero of ((k-7)x+14) be (-2)?
C. (k=14)
If the zero is (-2), then (-2(k-7)+14=0). This gives (k=14).
The correct answer is C. (k=14). If the zero is (-2), then (-2(k-7)+14=0). This gives (k=14).
शून्यक (-2) होने पर (-2(k-7)+14=0) होगा। इससे (k=14) मिलता है।
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If (p(x)=2x-7), what is the value of (p(-3))?
C. (-13)
(p(-3)=2(-3)-7=-13). Handle signs carefully when substituting a negative value.
The correct answer is C. (-13). (p(-3)=2(-3)-7=-13). Handle signs carefully when substituting a negative value.
(p(-3)=2(-3)-7=-13) है। ऋणात्मक मान रखते समय चिन्ह ध्यान से लगाएं।
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Which option has zero \(\frac{5}{4}\) for a linear polynomial?
C. (4x-5)
From (4x-5=0), we get \(x=\frac{5}{4}\). In fractional zeros, note the sign and denominator.
The correct answer is C. (4x-5). From (4x-5=0), we get \(x=\frac{5}{4}\). In fractional zeros, note the sign and denominator.
(4x-5=0) से \(x=\frac{5}{4}\) मिलता है। भिन्न शून्यक में चिन्ह और हर ध्यान रखें।
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If (p(x)=6x+c) and (p(2)=17), what is (c)?
B. (5)
From (p(2)=12+c=17), we get (c=5). Substitute the given value into the polynomial.
The correct answer is B. (5). From (p(2)=12+c=17), we get (c=5). Substitute the given value into the polynomial.
(p(2)=12+c=17) से (c=5) मिलता है। दिए गए मान को बहुपद में रखें।
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Which linear polynomial becomes (0) at (x=-4)?
B. (x+4)
Substituting (x=-4) in (x+4) gives (0). Therefore its zero is (-4).
The correct answer is B. (x+4). Substituting (x=-4) in (x+4) gives (0). Therefore its zero is (-4).
(x=-4) रखने पर (x+4=0) मिलता है। इसलिए इसका शून्यक (-4) है।
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Which polynomial is obtained by simplifying (3(x+1)+2(x-4))?
A. (5x-5)
(3x+3+2x-8=5x-5). Open brackets and add like terms.
The correct answer is A. (5x-5). (3x+3+2x-8=5x-5). Open brackets and add like terms.
(3x+3+2x-8=5x-5) है। कोष्ठक खोलकर समान पद जोड़ें।
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If (p(x)=9-3x), what is its zero?
B. (3)
From (9-3x=0), we get (x=3). A linear polynomial has only one zero.
The correct answer is B. (3). From (9-3x=0), we get (x=3). A linear polynomial has only one zero.
(9-3x=0) से (x=3) मिलता है। रेखीय बहुपद का केवल एक शून्यक होता है।
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Which option has (p(0)=-6) and (p(x)) is linear?
B. (p(x)=x-6)
(p(0)) equals the constant term. (x-6) is linear and its constant term is (-6).
The correct answer is B. (p(x)=x-6). (p(0)) equals the constant term. (x-6) is linear and its constant term is (-6).
(p(0)) नियतांक पद के बराबर होता है। (x-6) रेखीय है और इसका नियतांक पद (-6) है।
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If (p(x)=4x+1) and (p(t)=21), what is the value of (t)?
C. (5)
From (4t+1=21), (4t=20) and (t=5). First form the equation.
The correct answer is C. (5). From (4t+1=21), (4t=20) and (t=5). First form the equation.
(4t+1=21) से (4t=20) और (t=5) मिलता है। पहले समीकरण बनाएं।
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Which option has a linear polynomial whose zero is negative?
C. (x+5)
From (x+5=0), we get (x=-5). Therefore its zero is negative.
The correct answer is C. (x+5). From (x+5=0), we get (x=-5). Therefore its zero is negative.
(x+5=0) से (x=-5) मिलता है। इसलिए इसका शून्यक ऋणात्मक है।
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If the zero of (p(x)=3x+a) is (-2), what is the value of (a)?
A. (6)
Since the zero is (-2), (3(-2)+a=0). Therefore (a=6).
The correct answer is A. (6). Since the zero is (-2), (3(-2)+a=0). Therefore (a=6).
शून्यक (-2) होने से (3(-2)+a=0) होगा। इसलिए (a=6) है।
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If (p(x)=x+2) and (q(x)=x+5), what type of polynomial is (q(x)-p(x))?
B. नियतांक बहुपदConstant polynomial
(q(x)-p(x)=3). It is a non-zero constant polynomial.
The correct answer is B. नियतांक बहुपद / Constant polynomial. (q(x)-p(x)=3). It is a non-zero constant polynomial.
(q(x)-p(x)=3) है। यह अशून्य नियतांक बहुपद है।
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The zero of the linear polynomial (2x+b) is (4). What is (b)?
B. (-8)
From (2(4)+b=0), we get (b=-8). Substitute the zero into the polynomial and set it to (0).
The correct answer is B. (-8). From (2(4)+b=0), we get (b=-8). Substitute the zero into the polynomial and set it to (0).
(2(4)+b=0) से (b=-8) मिलता है। शून्यक को बहुपद में रखकर (0) करें।
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If (p(x)=\frac{2}{3}x+5), what is (p(6))?
C. (9)
(p(6)=\frac{2}{3}\cdot6+5=9). With fractional coefficients, multiply first.
The correct answer is C. (9). (p(6)=\frac{2}{3}\cdot6+5=9). With fractional coefficients, multiply first.
(p(6)=\frac{2}{3}\cdot6+5=9) है। भिन्न गुणांक में पहले गुणा करें।
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For which value will ((3a-6)x+1) not remain linear?
B. (a=2)
For it not to be linear, (3a-6=0). This gives (a=2).
The correct answer is B. (a=2). For it not to be linear, (3a-6=0). This gives (a=2).
रेखीय न रहने के लिए (3a-6=0) होना चाहिए। इससे (a=2) मिलता है।
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If (p(x)=8x-12), for which value will (p(x)=4)?
B. (x=2)
From (8x-12=4), (8x=16) and (x=2). First simplify the equation.
The correct answer is B. (x=2). From (8x-12=4), (8x=16) and (x=2). First simplify the equation.
(8x-12=4) से (8x=16) और (x=2) मिलता है। पहले समीकरण को सरल करें।
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Which linear polynomial gives (9) at (x=0)?
B. (x+9)
At (x=0), the value of a polynomial is its constant term. The constant term of (x+9) is (9).
The correct answer is B. (x+9). At (x=0), the value of a polynomial is its constant term. The constant term of (x+9) is (9).
(x=0) पर बहुपद का मान नियतांक पद होता है। (x+9) का नियतांक पद (9) है।
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If (p(x)=7x+c) and (p(1)=2), what is (c)?
B. (-5)
From (p(1)=7+c=2), we get (c=-5). Substitute the given value into the polynomial.
The correct answer is B. (-5). From (p(1)=7+c=2), we get (c=-5). Substitute the given value into the polynomial.
(p(1)=7+c=2) से (c=-5) मिलता है। दिए गए मान को बहुपद में रखें।
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If (p(x)=x+a) and (p(6)=0), what is (a)?
B. (-6)
From (6+a=0), we get (a=-6). Substitute the zero into the polynomial and solve.
The correct answer is B. (-6). From (6+a=0), we get (a=-6). Substitute the zero into the polynomial and solve.
(6+a=0) से (a=-6) मिलता है। शून्यक को बहुपद में रखकर हल करें।
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If (p(x)=3x-2), what is (p(2)+p(-2))?
B. (-4)
(p(2)=4) and (p(-2)=-8). Therefore the sum is (-4).
The correct answer is B. (-4). (p(2)=4) and (p(-2)=-8). Therefore the sum is (-4).
(p(2)=4) और (p(-2)=-8) हैं। इसलिए योग (-4) है।
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Which option has coefficient of (x) equal to (5) and zero (-1)?
B. (5x+5)
From (5x+5=0), we get (x=-1), and the coefficient of (x) is (5).
The correct answer is B. (5x+5). From (5x+5=0), we get (x=-1), and the coefficient of (x) is (5).
(5x+5=0) से (x=-1) मिलता है और (x) का गुणांक (5) है।
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If (p(x)=kx-3) and (p(0)=-3), which statement about (k) is correct so that (p(x)) is linear?
B. \(k\neq0\)
(p(0)=-3) is true for every (k). For the polynomial to be linear, \(k\neq0\) is necessary.
The correct answer is B. \(k\neq0\). (p(0)=-3) is true for every (k). For the polynomial to be linear, \(k\neq0\) is necessary.
(p(0)=-3) हर (k) के लिए सही है। रेखीय होने के लिए \(k\neq0\) जरूरी है।
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If (p(x)=5x+8), what is the degree of (p(x)-8)?
B. (1)
(p(x)-8=5x), whose degree is (1). Even after removing the constant term, the (x)-term remains.
The correct answer is B. (1). (p(x)-8=5x), whose degree is (1). Even after removing the constant term, the (x)-term remains.
(p(x)-8=5x) है जिसकी डिग्री (1) है। नियतांक हटने पर भी (x) पद बचता है।
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If (p(x)=3x-4), what type of polynomial is (p(x)-3x)?
B. नियतांक बहुपदConstant polynomial
(p(x)-3x=-4). It is a non-zero constant polynomial.
The correct answer is B. नियतांक बहुपद / Constant polynomial. (p(x)-3x=-4). It is a non-zero constant polynomial.
(p(x)-3x=-4) है। यह अशून्य नियतांक बहुपद है।
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Which option has zero \(-\frac{4}{5}\) for a linear polynomial?
C. (5x+4)
From (5x+4=0), we get \(x=-\frac{4}{5}\). Pay attention to the sign in fractional zeros.
The correct answer is C. (5x+4). From (5x+4=0), we get \(x=-\frac{4}{5}\). Pay attention to the sign in fractional zeros.
(5x+4=0) से \(x=-\frac{4}{5}\) मिलता है। भिन्न शून्यक में चिन्ह ध्यान रखें।
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If (p(x)=12-5x), what is the value of (p(2))?
A. (2)
(p(2)=12-5(2)=2). Multiply first and then subtract.
The correct answer is A. (2). (p(2)=12-5(2)=2). Multiply first and then subtract.
(p(2)=12-5(2)=2) है। पहले गुणा करें फिर घटाएं।
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If (p(x)=2x-3) and (q(x)=x+5), what is (2p(x)-q(x))?
A. (3x-11)
(2p(x)-q(x)=2(2x-3)-(x+5)=3x-11). Open brackets and combine like terms.
The correct answer is A. (3x-11). (2p(x)-q(x)=2(2x-3)-(x+5)=3x-11). Open brackets and combine like terms.
(2p(x)-q(x)=2(2x-3)-(x+5)=3x-11) है। कोष्ठक खोलकर समान पद मिलाएं।
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If (p(x)=4x-8), which value is its zero?
B. (x=2)
From (4x-8=0), we get (x=2). A zero is the value where the polynomial becomes (0).
The correct answer is B. (x=2). From (4x-8=0), we get (x=2). A zero is the value where the polynomial becomes (0).
(4x-8=0) से (x=2) मिलता है। शून्यक वही मान है जहां बहुपद (0) हो।
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In which option is the difference of (3x+7) and (x-2) equal to (2x+9)?
A. (3x+7-(x-2))
(3x+7-(x-2)=2x+9). Change signs inside the bracket while subtracting.
The correct answer is A. (3x+7-(x-2)). (3x+7-(x-2)=2x+9). Change signs inside the bracket while subtracting.
(3x+7-(x-2)=2x+9) है। घटाते समय कोष्ठक के चिन्ह बदलें।
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For which value will ((a-1)x+2a) be linear and still have (p(0)=2a)?
B. (a=0)
For it to be linear, \(a-1\neq0\) is needed. At (a=0), the coefficient is (-1) and (p(0)=0).
The correct answer is B. (a=0). For it to be linear, \(a-1\neq0\) is needed. At (a=0), the coefficient is (-1) and (p(0)=0).
रेखीय होने के लिए \(a-1\neq0\) चाहिए। (a=0) पर गुणांक (-1) है और (p(0)=0) रहता है।
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If (p(x)=\frac{5}{6}x-10), what is (p(12))?
A. (0)
(p(12)=\frac{5}{6}\cdot12-10=0). Therefore (12) is a zero of this polynomial.
The correct answer is A. (0). (p(12)=\frac{5}{6}\cdot12-10=0). Therefore (12) is a zero of this polynomial.
(p(12)=\frac{5}{6}\cdot12-10=0) है। इसलिए (12) इस बहुपद का शून्यक है।
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If (p(x)=x-2), what type of polynomial is (p(x)2)?
B. द्विघात बहुपदQuadratic polynomial
(p(x)2=(x-2)2) has degree (2). Therefore it is a quadratic polynomial.
The correct answer is B. द्विघात बहुपद / Quadratic polynomial. (p(x)2=(x-2)2) has degree (2). Therefore it is a quadratic polynomial.
(p(x)2=(x-2)2) की डिग्री (2) होती है। इसलिए यह द्विघात बहुपद है।
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Which option has a linear polynomial whose leading coefficient is non-zero?
B. (7x+0)
In (7x+0), the coefficient of (x) is (7), which is non-zero. Therefore it is a linear polynomial.
The correct answer is B. (7x+0). In (7x+0), the coefficient of (x) is (7), which is non-zero. Therefore it is a linear polynomial.
(7x+0) में (x) का गुणांक (7) है जो शून्य नहीं है। इसलिए यह रेखीय बहुपद है।
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If (p(x)=3x+b), what will be the value of (p(4)-p(2))?
C. (6)
(p(4)-p(2)=(12+b)-(6+b)=6). The constant term cancels in the difference.
The correct answer is C. (6). (p(4)-p(2)=(12+b)-(6+b)=6). The constant term cancels in the difference.
(p(4)-p(2)=(12+b)-(6+b)=6) है। नियतांक पद अंतर में कट जाता है।
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In which option will (p(x)=ax+b) have zero (-1)?
C. (b=a) और \(a\neq0\)(b=a) and \(a\neq0\)
If the zero is (-1), then (-a+b=0). So (b=a) and \(a\neq0\) are needed.
The correct answer is C. (b=a) और \(a\neq0\) / (b=a) and \(a\neq0\). If the zero is (-1), then (-a+b=0). So (b=a) and \(a\neq0\) are needed.
शून्यक (-1) होने पर (-a+b=0) होगा। इसलिए (b=a) और \(a\neq0\) चाहिए।
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If (p(x)=2x+3) and (q(x)=2x+3), what is the degree of (p(x)-q(x))?
C. परिभाषित नहींNot defined
(p(x)-q(x)=0). The degree of the zero polynomial is not defined.
The correct answer is C. परिभाषित नहीं / Not defined. (p(x)-q(x)=0). The degree of the zero polynomial is not defined.
(p(x)-q(x)=0) है। शून्य बहुपद की डिग्री परिभाषित नहीं होती।
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If (p(x)=9x-1), what is the value of (p(1)+p(0))?
B. (7)
(p(1)=8) and (p(0)=-1). Therefore the sum is (7).
The correct answer is B. (7). (p(1)=8) and (p(0)=-1). Therefore the sum is (7).
(p(1)=8) और (p(0)=-1) हैं। इसलिए योग (7) है।
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If (p(x)=5x-4), what is the value of (p(3)-p(-1))?
C. (20)
(p(3)=11) and (p(-1)=-9). Therefore the difference is (20).
The correct answer is C. (20). (p(3)=11) and (p(-1)=-9). Therefore the difference is (20).
(p(3)=11) और (p(-1)=-9) हैं। इसलिए अंतर (20) है।
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For which value will ((2r+5)x-10) not remain a linear polynomial?
B. \(r=-\frac{5}{2}\)
For it not to be linear, the coefficient of (x) must be (0). From (2r+5=0), \(r=-\frac{5}{2}\).
The correct answer is B. \(r=-\frac{5}{2}\). For it not to be linear, the coefficient of (x) must be (0). From (2r+5=0), \(r=-\frac{5}{2}\).
रेखीय न रहने के लिए (x) का गुणांक (0) होना चाहिए। (2r+5=0) से \(r=-\frac{5}{2}\) मिलता है।
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If the zero of (p(x)=7x+b) is (-2), what is the value of (b)?
A. (14)
Since the zero is (-2), (7(-2)+b=0). Therefore (b=14).
The correct answer is A. (14). Since the zero is (-2), (7(-2)+b=0). Therefore (b=14).
शून्यक (-2) होने से (7(-2)+b=0) होगा। इसलिए (b=14) है।
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If (p(x)=2x-5) and (q(x)=4x+1), what is (3p(x)-q(x))?
A. (2x-16)
(3p(x)-q(x)=3(2x-5)-(4x+1)=2x-16). Open brackets and combine like terms.
The correct answer is A. (2x-16). (3p(x)-q(x)=3(2x-5)-(4x+1)=2x-16). Open brackets and combine like terms.
(3p(x)-q(x)=3(2x-5)-(4x+1)=2x-16) है। कोष्ठक खोलकर समान पद मिलाएं।
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Which option has zero \(\frac{7}{3}\) for a linear polynomial?
C. (3x-7)
From (3x-7=0), we get \(x=\frac{7}{3}\). In fractional zeros, note the denominator and sign.
The correct answer is C. (3x-7). From (3x-7=0), we get \(x=\frac{7}{3}\). In fractional zeros, note the denominator and sign.
(3x-7=0) से \(x=\frac{7}{3}\) मिलता है। भिन्न शून्यक में हर और चिन्ह ध्यान रखें।
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