Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
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What type of polynomial is the simplified form \(3x^2\)?
B. द्विघात एकपदी बहुपदQuadratic monomial polynomial
\(3x^2\) में एक पद है और सबसे बड़ी घात (2) है। इसलिए यह द्विघात एकपदी बहुपद है। / \(3x^2\) has one term and the highest power is (2). So it is a quadratic monomial polynomial.
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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)
\(-\sqrt{5}\) और \(\frac{3}{8}\) वास्तविक गुणांक हैं। (x) की घातें (0), (4), और (1) हैं। / \(-\sqrt{5}\) and \(\frac{3}{8}\) are real coefficients. The powers of (x) are (0), (4), and (1).
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If (c=0), what will be the degree of (cx-8+(c+2)x-5-4x+1)?
B. (5)
(c=0) पर \(x^8\) पद हट जाता है और \(x^5\) का गुणांक (2) रहता है। इसलिए डिग्री (5) है। / For (c=0), the \(x^8\) term disappears and the coefficient of \(x^5\) remains (2). Therefore the degree is (5).
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What is obtained by simplifying \(x^3+\frac{x^2-9}{x-3}\) for \(x\neq3\)?
B. \(x^3+x+3\)
\(\frac{x^2-9}{x-3}=x+3\) जब \(x\neq3\)। इसलिए सरल रूप \(x^3+x+3\) है। / \(\frac{x^2-9}{x-3}=x+3\) when \(x\neq3\). Therefore the simplified form is \(x^3+x+3\).
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What type of polynomial is the simplified form \(x^3+x+3\)?
C. त्रिघात बहुपदCubic polynomial
\(x^3+x+3\) में सबसे बड़ी घात (3) है। इसलिए यह त्रिघात बहुपद है। / In \(x^3+x+3\), the highest power is (3). Therefore it is a cubic polynomial.
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What is the degree of \(x^6+x^4+x^0\)?
C. (6)
\(x^0=1\) होता है और सबसे बड़ी घात (6) है। इसलिए डिग्री (6) है। / \(x^0=1\), and the highest power is (6). Therefore the degree is (6).
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If (a=0), \(b\neq0\), what will be the degree of \(ax^6+bx^4+x-1\)?
B. (4)
(a=0) होने से \(x^6\) पद हटता है और \(b\neq0\) होने से \(x^4\) पद बचता है। इसलिए डिग्री (4) है। / Since (a=0), the \(x^6\) term disappears, and since \(b\neq0\), the \(x^4\) term remains. So the degree is (4).
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How many non-zero terms are there in \(8x^5+0x^4-3x^2+0x+6\)?
B. (3)
\(0x^4\) और (0x) शून्य पद हैं। बाकी \(8x^5\), \(-3x^2\), और (6) तीन अशून्य पद हैं। / \(0x^4\) and (0x) are zero terms. The remaining \(8x^5\), \(-3x^2\), and (6) are three non-zero terms.
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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)
भिन्न और अपरिमेय वास्तविक गुणांक बहुपद में मान्य होते हैं। सबसे बड़ी घात (4) है। / Fractional and irrational real coefficients are valid in a polynomial. The highest power is (4).
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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
\(x^{\frac{3}{2}}\) में चर की घात भिन्न है। बहुपद में भिन्न घात मान्य नहीं होती। / In \(x^{\frac{3}{2}}\), the variable has a fractional power. Fractional powers are not valid in a polynomial.
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