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 321-330 of 700 questions.
How many terms are there in \(5x^3-2x^2+9x-6\)?
C. (4)
इसमें \(5x^3\), \(-2x^2\), (9x) और (-6) चार पद हैं। पदों को चिन्ह सहित गिनें। / It has four terms: \(5x^3\), \(-2x^2\), (9x), and (-6). Count terms with their signs.
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Which is the correct identification of (p(x)=x-2-4x+4)?
B. द्विघात त्रिपदीQuadratic trinomial
इसकी घात (2) है और इसमें (3) पद हैं। इसलिए यह द्विघात त्रिपदी है। / Its degree is (2) and it has (3) terms. Therefore, it is a quadratic trinomial.
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Which expression is a polynomial with no linear (x)-term?
A. \(x^4+3x^2-5\)
बहुपद में हर घात का पद होना जरूरी नहीं है। \(x^4+3x^2-5\) में सभी उपस्थित घातें मान्य हैं। / A polynomial need not have every power term. In \(x^4+3x^2-5\), all present powers are valid.
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Which statement is correct about \(4x^2+\frac{3}{4}x-9\)?
B. यह बहुपद है क्योंकि चर की घातें मान्य हैंIt is a polynomial because variable powers are valid
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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In which expression does \(x^0\) form a constant term?
A. \(6x^0+5x\)
\(x^0=1\) माना जाता है जब \(x\neq0\)। इसलिए \(6x^0\) स्थिर पद (6) जैसा है। / \(x^0=1\) when \(x\neq0\). So \(6x^0\) behaves like the constant term (6).
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Which expression is a polynomial but does not have degree (1)?
B. \(x^2+6\)
\(x^2+6\) बहुपद है और इसकी घात (2) है। इसलिए इसकी घात (1) नहीं है। / \(x^2+6\) is a polynomial and its degree is (2). Therefore, its degree is not (1).
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Which expression is a polynomial in (m)?
C. \(2m^5-3m+1\)
\(2m^5-3m+1\) में (m) की घातें (5), (1) और (0) हैं। ये सभी मान्य हैं। / In \(2m^5-3m+1\), the powers of (m) are (5), (1), and (0). All are valid.
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If (a=0) in (p(x)=ax-4+3x-2-1), what will be the degree?
C. (2)
(a=0) होने पर \(x^4\) वाला पद हट जाता है। शेष बहुपद \(3x^2-1\) की घात (2) है। / When (a=0), the \(x^4\) term disappears. The remaining polynomial \(3x^2-1\) has degree (2).
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Which option gives the main condition of a polynomial correctly?
B. चर की घातें शून्य या धनात्मक पूर्णांक होनी चाहिएVariable powers must be zero or positive integers
बहुपद में चर की घातें शून्य या धनात्मक पूर्णांक होती हैं। यह परिभाषा की सबसे महत्वपूर्ण शर्त है। / In a polynomial, powers of the variable are zero or positive integers. This is the most important condition in the definition.
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What is the degree of \(x^3+2x^2+x+5\)?
D. (3)
सबसे बड़ी घात \(x^3\) में (3) है। इसलिए बहुपद की घात (3) है। / The highest power is (3) in \(x^3\). Therefore, the degree of the polynomial is (3).
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