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 351-360 of 700 questions.
Which expression is not a polynomial in (x) because the variable has a negative power?
D. \(5x^{-3}+1\)
\(x^{-3}\) की घात ऋणात्मक है। बहुपद में ऋणात्मक घात स्वीकार्य नहीं होती। / The power in \(x^{-3}\) is negative. Negative powers are not allowed in a polynomial.
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What is the degree of the polynomial \(6x^7-4x^3+x-8\)?
C. (7)
बहुपद की घात सबसे बड़ी चर-घात होती है। यहाँ सबसे बड़ी घात (7) है। / The degree of a polynomial is the highest power of the variable. Here the highest power is (7).
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What type of polynomial is (23) considered?
A. स्थिर बहुपदConstant polynomial
(23) में कोई चर नहीं है इसलिए यह स्थिर बहुपद है। शून्य से अलग स्थिर बहुपद की घात (0) होती है। / (23) has no variable, so it is a constant polynomial. A non-zero constant polynomial has degree (0).
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Which expression is a linear polynomial in (t)?
D. (5t-9)
रैखिक बहुपद की घात (1) होती है। (5t-9) में सबसे बड़ी घात (1) है। / A linear polynomial has degree (1). In (5t-9), the highest power is (1).
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Which statement is correct about the degree of the zero polynomial (0)?
B. इसकी घात परिभाषित नहीं होतीIts degree is not defined
(0) शून्य बहुपद है लेकिन उसकी घात परिभाषित नहीं होती। इसे शून्य से अलग स्थिर बहुपद से अलग रखें। / (0) is the zero polynomial but its degree is not defined. Keep it separate from a non-zero constant polynomial.
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In \(9x^0+4x\), \(x^0\) is considered equal to what?
D. (1)
\(x^0=1\) माना जाता है जब \(x\neq0\)। इसलिए \(9x^0\) स्थिर पद की तरह काम करता है। / \(x^0=1\) when \(x\neq0\). So \(9x^0\) acts like a constant term.
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Which expression is a polynomial even though it has a fractional coefficient?
A. \(3x^2+\frac{5}{8}x-2\)
भिन्न गुणांक बहुपद में मान्य होते हैं। यहाँ (x) की घातें (2), (1) और (0) हैं। / Fractional coefficients are allowed in polynomials. Here the powers of (x) are (2), (1), and (0).
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How many terms are there in the polynomial \(x^4-3x^2+2x-11\)?
B. (4)
इसमें \(x^4\), \(-3x^2\), (2x) और (-11) चार पद हैं। पदों को चिन्ह सहित गिनें। / It has four terms: \(x^4\), \(-3x^2\), (2x), and (-11). Count terms with their signs.
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In (p(x)=7x-5-2x+4), the \(x^4\), \(x^3\), and \(x^2\) terms are missing. What is its degree?
D. (5)
गायब पद घात को नहीं बदलते। सबसे बड़ी उपस्थित घात (5) है। / Missing terms do not change the degree. The highest present power is (5).
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Which option correctly states the main condition of a polynomial?
B. चर की घातें शून्य या धनात्मक पूर्णांक होंPowers of the variable are zero or positive integers
बहुपद में चर की घातें शून्य या धनात्मक पूर्णांक होनी चाहिए। यही परिभाषा की सबसे जरूरी शर्त है। / In a polynomial, powers of the variable must be zero or positive integers. This is the most important condition in the definition.
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