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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Which expression satisfies the definition of a polynomial?
B. \(x^2+4x+4\)
\(x^2+4x+4\) में चर की घातें अशून्य या शून्य पूर्णांक हैं। इसलिए यह बहुपद है। / In \(x^2+4x+4\), the powers of the variable are non-negative integers. Therefore it is a polynomial.
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Why is \(x^{\frac{1}{2}}+3\) not a polynomial?
B. क्योंकि इसमें घात भिन्न हैBecause it has a fractional power
बहुपद में चर की घात भिन्न नहीं हो सकती। \(x^{\frac{1}{2}}\) की घात \(\frac{1}{2}\) है। / In a polynomial, the power of the variable cannot be fractional. The power of \(x^{\frac{1}{2}}\) is \(\frac{1}{2}\).
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Why is \(x^{-3}+2\) not a polynomial?
A. क्योंकि घात ऋणात्मक हैBecause the power is negative
बहुपद में चर की घात ऋणात्मक नहीं हो सकती। यहां (x) की घात (-3) है। / In a polynomial, the power of the variable cannot be negative. Here the power of (x) is (-3).
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What is the degree of the polynomial \(7x^4-3x^2+1\) in (x)?
D. (4)
सबसे बड़ी घात (4) है। इसलिए बहुपद की डिग्री (4) होगी। / The highest power is (4). Therefore the degree of the polynomial is (4).
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Which expression is not a polynomial because the variable is in the denominator?
B. \(\frac{3}{x}+5\)
\(\frac{3}{x}\) में (x) हर में है, इसलिए यह \(x^{-1}\) जैसा है। ऋणात्मक घात बहुपद में स्वीकार नहीं होती। / In \(\frac{3}{x}\), (x) is in the denominator, so it is like \(x^{-1}\). Negative powers are not accepted in polynomials.
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How many terms are there in the polynomial \(2x^5+x-6\)?
C. (3)
पद \(2x^5\), (x), और (-6) हैं। इसलिए कुल (3) पद हैं। / The terms are \(2x^5\), (x), and (-6). So there are (3) terms.
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In \(x^2+2x+1\), which term has the highest power?
A. \(x^2\)
सबसे बड़ी घात (2) है, जो \(x^2\) पद में है। डिग्री खोजते समय सबसे बड़ी घात देखें। / The highest power is (2), which is in the term \(x^2\). While finding degree, look at the highest power.
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Which of the following is a linear polynomial?
B. (5x-2)
(5x-2) की सबसे बड़ी घात (1) है। इसलिए यह रेखीय बहुपद है। / The highest power of (5x-2) is (1). Therefore it is a linear polynomial.
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Which of the following is a quadratic polynomial?
A. \(4x^2-1\)
\(4x^2-1\) में सबसे बड़ी घात (2) है। इसलिए यह द्विघात बहुपद है। / In \(4x^2-1\), the highest power is (2). Therefore it is a quadratic polynomial.
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Which of the following is a cubic polynomial?
C. \(x^3+3x-1\)
\(x^3+3x-1\) की सबसे बड़ी घात (3) है। इसलिए यह त्रिघात बहुपद है। / The highest power of \(x^3+3x-1\) is (3). Therefore it is a cubic polynomial.
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