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 is the correct identification of (p(x)=2x-3+5x-2-x+4)?
B. घन चार-पदी बहुपदCubic four-term polynomial
इसकी घात (3) है और इसमें चार पद हैं। इसलिए यह घन चार-पदी बहुपद है। / Its degree is (3) and it has four terms. Therefore, it is a cubic four-term polynomial.
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In which expression are the powers of (x) (5), (3), and (0)?
A. \(x^5+2x^3-7\)
\(x^5+2x^3-7\) में (x) की घातें (5), (3) और स्थिर पद के लिए (0) हैं। / In \(x^5+2x^3-7\), the powers of (x) are (5), (3), and (0) for the constant term.
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Which expression is a polynomial with real coefficients?
A. \(2.5x^2-3x+1\)
दशमलव (2.5) भी वास्तविक गुणांक है। चर की सभी घातें शून्य या धनात्मक पूर्णांक हैं। / The decimal (2.5) is also a real coefficient. All powers of the variable are non-negative integers.
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Why is \(x^2+\frac{1}{x}+4\) not a polynomial?
B. क्योंकि इसमें \(\frac{1}{x}\) है जिसकी घात (-1) हैBecause it has \(\frac{1}{x}\), whose power is (-1)
\(\frac{1}{x}=x^{-1}\) होता है। ऋणात्मक घात वाला व्यंजक बहुपद नहीं होता। / \(\frac{1}{x}=x^{-1}\). An expression with a negative power is not a polynomial.
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Which option gives a correct example-explanation of a polynomial?
A. \(x^2+1\) क्योंकि घातें (2) और (0) हैं\(x^2+1\) because powers are (2) and (0)
\(x^2+1\) में घातें (2) और (0) हैं जो मान्य हैं। बाकी विकल्पों में अमान्य घातें हैं। / In \(x^2+1\), the powers are (2) and (0), which are valid. The other options contain invalid powers.
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Which expression is a polynomial in (x) but includes (y) as a coefficient-like quantity?
A. \(y x^3+2x-5\)
(x) के संदर्भ में (y) को गुणांक की तरह माना जा सकता है। (x) की घातें (3), (1) और (0) हैं। / With respect to (x), (y) can be treated like a coefficient. The powers of (x) are (3), (1), and (0).
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Which option correctly identifies \(x^3-2x+5\)?
C. यह घन त्रिपदी बहुपद हैIt is a cubic trinomial polynomial
इसकी घात (3) है और इसमें तीन पद हैं। इसलिए यह घन त्रिपदी बहुपद है। / Its degree is (3) and it has three terms. Therefore, it is a cubic trinomial polynomial.
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If (p(x)=0x-5+4x-2-3x+8), what will be the degree of (p(x))?
B. (2)
\(0x^5\) शून्य पद है इसलिए घात तय नहीं करता। सबसे बड़ी अशून्य घात (2) है। / \(0x^5\) is a zero term, so it does not determine the degree. The highest non-zero power is (2).
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Which expression is not a polynomial because the variable is in the exponent?
B. \(2^x+x\)
बहुपद में चर की घात निश्चित शून्य या धनात्मक पूर्णांक होती है। \(2^x\) में चर घात में है इसलिए यह बहुपद नहीं है। / In a polynomial, the variable has fixed non-negative integer powers. In \(2^x\), the variable is in the exponent, so it is not a polynomial.
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If (a=0) in (p(x)=ax-3+2x-1), what will be the degree of the polynomial?
C. (1)
(a=0) रखने पर \(x^3\) वाला पद हट जाता है। शेष बहुपद (2x-1) की घात (1) है। / When (a=0), the \(x^3\) term disappears. The remaining polynomial (2x-1) has degree (1).
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