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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Why is \(4x^3+x^{-2}+2\) not a polynomial?
C. क्योंकि इसमें \(x^{-2}\) हैBecause it has \(x^{-2}\)
\(x^{-2}\) में चर की घात ऋणात्मक है। बहुपद में ऋणात्मक घात स्वीकार नहीं होती। / In \(x^{-2}\), the power of the variable is negative. A negative power is not accepted in a polynomial.
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Is \(5x^3-2x^2+x-1\) a polynomial?
A. हां, क्योंकि सभी घातें अशून्य या शून्य पूर्णांक हैंYes, because all powers are non-negative integers
घातें (3), (2), (1), और (0) हैं। ये सभी बहुपद की परिभाषा के अनुसार मान्य हैं। / The powers are (3), (2), (1), and (0). All are valid according to the definition of a polynomial.
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What is the coefficient of (x) in \(7x^2-4x+10\)?
B. (-4)
(x) वाला पद (-4x) है। इसलिए (x) का गुणांक (-4) है। / The term containing (x) is (-4x). Therefore the coefficient of (x) is (-4).
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What is the degree of \(2x^7-5x^4+x-3\)?
D. (7)
सबसे बड़ी घात (7) है। इसलिए बहुपद की डिग्री (7) है। / The highest power is (7). Therefore the degree of the polynomial is (7).
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What is the degree of the polynomial \(4x^8-3\)?
C. (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 \(-\sqrt{2}x+9\) a polynomial in (x)?
A. हां, क्योंकि \(-\sqrt{2}\) वास्तविक गुणांक हैYes, because \(-\sqrt{2}\) is a real coefficient
गुणांक वास्तविक संख्या हो सकते हैं। यहां (x) की घात (1) है, इसलिए यह बहुपद है। / Coefficients can be real numbers. Here the power of (x) is (1), so it is a polynomial.
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Why is \(\frac{x^2+1}{x}\) not a polynomial?
B. क्योंकि चर हर में हैBecause the variable is in the denominator
चर हर में आने पर ऋणात्मक घात बन सकती है। बहुपद में चर की ऋणात्मक घात मान्य नहीं होती। / When the variable is in the denominator, a negative power may appear. Negative powers of the variable are not valid in a polynomial.
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In which option are all powers of (x) valid for a polynomial?
C. \(x^6+x^3+x^0\)
(6), (3), और (0) सभी अशून्य या शून्य पूर्णांक हैं। इसलिए ये घातें बहुपद के लिए मान्य हैं। / (6), (3), and (0) are all non-negative integers. Therefore these powers are valid for a polynomial.
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What is the constant term in the polynomial \(10x^2-7x+4\)?
C. (4)
नियतांक पद में कोई चर नहीं होता। यहां (4) नियतांक पद है। / A constant term has no variable. Here (4) is the constant term.
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Is \(5x^2+3x+2x^{-1}\) a polynomial or not?
C. नहीं, क्योंकि \(x^{-1}\) की घात ऋणात्मक हैNo, because \(x^{-1}\) has a negative power
\(x^{-1}\) में चर की घात ऋणात्मक है। बहुपद में ऐसी घात स्वीकार नहीं होती। / In \(x^{-1}\), the variable has a negative power. Such a power is not accepted in a polynomial.
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