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.
Showing 21-30 of 600 questions.
What is the coefficient of \(x^3\) in \(9x^4-2x^3+7\)?
B. \(-2\)
\(x^3\) के साथ (-2) लगा है। इसलिए \(x^3\) का गुणांक (-2) है। / The number attached to \(x^3\) is (-2). So the coefficient of \(x^3\) is (-2).
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Which polynomial is a cubic polynomial?
A. \(x^3-2x+1\)
घन बहुपद की घात (3) होती है। \(x^3-2x+1\) की सबसे बड़ी घात (3) है। / A cubic polynomial has degree (3). The highest power in \(x^3-2x+1\) is (3).
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How is \(4x^2+3x^4-x+2\) written in standard form?
A. \(3x^4+4x^2-x+2\)
मानक रूप में पद घटती घातों में लिखे जाते हैं। इसलिए \(3x^4+4x^2-x+2\) सही है। / In standard form, terms are written in decreasing powers. Therefore \(3x^4+4x^2-x+2\) is correct.
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If (p(x)=5x-3), what is the value of (p(0))?
B. \(-3\)
(p(0)=5(0)-3=-3)। परीक्षा में (x=0) रखने पर केवल स्थिर पद बचता है। / (p(0)=5(0)-3=-3). In exams, when (x=0), only the constant term remains.
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What is the coefficient of the missing \(x^4\) term in \(x^5-4x^2+10\)?
C. (0)
जो पद लिखा नहीं है उसका गुणांक (0) माना जाता है। इसलिए \(x^4\) का गुणांक (0) है। / A missing term is treated as having coefficient (0). So the coefficient of \(x^4\) is (0).
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Which expression is a polynomial in one variable (z)?
A. \(z^4-2z+1\)
\(z^4-2z+1\) में केवल (z) है और घातें ऋणात्मक नहीं हैं। इसलिए यह (z) में बहुपद है। / The expression \(z^4-2z+1\) has only (z) and no negative powers. So it is a polynomial in (z).
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What is the leading term of (p(x)=2x-3-7x-2+4x-1)?
A. \(2x^3\)
सबसे बड़ी घात वाला पद \(2x^3\) है। यही अग्र पद कहलाता है। / The term with the highest power is \(2x^3\). This is called the leading term.
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Which statement is correct about \(\frac{x^2+1}{2}\)?
A. यह बहुपद हैIt is a polynomial
\(\frac{x^2+1}{2}=\frac{1}{2}x^2+\frac{1}{2}\) है और गुणांक वास्तविक हैं। इसलिए यह बहुपद है। / \(\frac{x^2+1}{2}=\frac{1}{2}x^2+\frac{1}{2}\) and the coefficients are real. So it is a polynomial.
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Which expression is not a polynomial because the variable is in the denominator?
B. \(\frac{3}{x}+1\)
\(\frac{3}{x}=3x^{-1}\) है और चर की घात ऋणात्मक है। इसलिए यह बहुपद नहीं है। / \(\frac{3}{x}=3x^{-1}\), so the variable has a negative power. Therefore it is not a polynomial.
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For (p(x)=x-2+2x+3), what is the value of (p(-1))?
B. (2)
(p(-1)=(-1)2+2(-1)+3=2)। परीक्षा में ऋणात्मक मान रखते समय कोष्ठक लगाएं। / (p(-1)=(-1)2+2(-1)+3=2). In exams, use brackets while substituting a negative value.
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