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 131-140 of 700 questions.
What is the coefficient of (x) in \(5x^2-8x+12\)?
B. (-8)
(x) वाला पद (-8x) है। इसलिए (x) का गुणांक (-8) है। / The term containing (x) is (-8x). Therefore the coefficient of (x) is (-8).
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What is the degree of \(3x^8-4x^5+2x^2-1\)?
D. (8)
सबसे बड़ी घात (8) है। इसलिए बहुपद की डिग्री (8) है। / The highest power is (8). Therefore the degree of the polynomial is (8).
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Is \(0.5x^2+3x-1\) a polynomial in (x)?
A. हां, क्योंकि दशमलव गुणांक भी वास्तविक संख्या हैYes, because a decimal coefficient is also a real number
बहुपद में गुणांक वास्तविक संख्या हो सकते हैं। यहां (x) की घातें (2), (1), और (0) हैं। / Coefficients in a polynomial can be real numbers. Here the powers of (x) are (2), (1), and (0).
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Why is \(\frac{x+1}{x}\) not a polynomial?
B. क्योंकि सरल करने पर \(\frac{1}{x}\) वाला पद आता हैBecause after simplifying, a \(\frac{1}{x}\) term appears
\(\frac{x+1}{x}=1+\frac{1}{x}\), जिसमें \(x^{-1}\) आता है। ऋणात्मक घात बहुपद में मान्य नहीं होती। / \(\frac{x+1}{x}=1+\frac{1}{x}\), which contains \(x^{-1}\). Negative powers are not valid in a polynomial.
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What is the degree of \(2x^3+0x^2+0x+9\)?
C. (3)
शून्य गुणांक वाले पद डिग्री नहीं बदलते। सबसे बड़ी अशून्य घात (3) है। / Terms with zero coefficient do not change the degree. The highest non-zero power is (3).
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Why is \(x^2+\sqrt[3]{x}\) not a polynomial?
A. क्योंकि \(\sqrt[3]{x}=x^{\frac{1}{3}}\) हैBecause \(\sqrt[3]{x}=x^{\frac{1}{3}}\)
\(\sqrt[3]{x}\) की घात \(\frac{1}{3}\) है। भिन्न घात होने पर व्यंजक बहुपद नहीं होता। / The power of \(\sqrt[3]{x}\) is \(\frac{1}{3}\). An expression with a fractional power is not a polynomial.
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Which expression is a polynomial in (x)?
C. \(3x^4+\frac{x}{5}-6\)
\(3x^4+\frac{x}{5}-6\) में (x) की घातें (4), (1), और (0) हैं। भिन्न गुणांक मान्य होता है। / In \(3x^4+\frac{x}{5}-6\), the powers of (x) are (4), (1), and (0). A fractional coefficient is valid.
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What is the coefficient of (x) in \(4x^2-7\)?
D. (0)
इस बहुपद में (x) वाला पद मौजूद नहीं है। इसलिए (x) का गुणांक (0) माना जाता है। / The term containing (x) is absent in this polynomial. So the coefficient of (x) is taken as (0).
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Which option gives a non-zero constant polynomial?
C. \(-\frac{5}{2}\)
\(-\frac{5}{2}\) में कोई चर नहीं है और यह शून्य नहीं है। इसलिए यह अशून्य नियतांक बहुपद है। / \(-\frac{5}{2}\) has no variable and is not zero. Therefore it is a non-zero constant polynomial.
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How will \(9-2x+5x^4\) be written in standard form?
B. \(5x^4-2x+9\)
मानक रूप में पद घटती घातों में लिखे जाते हैं। इसलिए \(5x^4-2x+9\) सही है। / In standard form, terms are written in descending powers. Therefore \(5x^4-2x+9\) is correct.
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