बहुपद \(4x^6-3x^4+2\) में \(x^5\) और (x) के गुणांक क्रमशः क्या हैं?

In \(4x^6-3x^4+2\), what are the coefficients of \(x^5\) and (x) respectively?

Author: Muft Shiksha Editorial Team Published: Updated:
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Correct Answer

B. 0

Explanation

Simple Explanation

बहुपद में केवल \(4x^6\), \(-3x^4\) और \(2\) पद हैं। इसमें \(x^5\) तथा \(x\) के पद नहीं हैं; अनुपस्थित पद का गुणांक \(0\) माना जाता है। इसलिए दोनों गुणांक \(0\) हैं। \(6\) और \(1\) क्रमशः घात हैं, गुणांक नहीं। परीक्षा टिप: किसी घात का पद न दिखे तो उसका गुणांक हमेशा \(0\) लिखें। / The polynomial contains only the terms \(4x^6\), \(-3x^4\), and \(2\). There is no \(x^5\) term or \(x\) term, and the coefficient of a missing term is taken as \(0\). Hence, both coefficients are \(0\). The numbers \(6\) and \(1\) are exponents, not coefficients. Exam tip: if a term of a given power is absent, its coefficient is always \(0\).

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Mathematics Answer, Explanation and Revision Hints

बहुपद \(4x^6-3x^4+2\) में \(x^5\) और (x) के गुणांक क्रमशः क्या हैं? / In \(4x^6-3x^4+2\), what are the coefficients of \(x^5\) and (x) respectively?

Correct Answer: B. 0. Explanation: बहुपद में केवल \(4x^6\), \(-3x^4\) और \(2\) पद हैं। इसमें \(x^5\) तथा \(x\) के पद नहीं हैं; अनुपस्थित पद का गुणांक \(0\) माना जाता है। इसलिए दोनों गुणांक \(0\) हैं। \(6\) और \(1\) क्रमशः घात हैं, गुणांक नहीं। परीक्षा टिप: किसी घात का पद न दिखे तो उसका गुणांक हमेशा \(0\) लिखें। / The polynomial contains only the terms \(4x^6\), \(-3x^4\), and \(2\). There is no \(x^5\) term or \(x\) term, and the coefficient of a missing term is taken as \(0\). Hence, both coefficients are \(0\). The numbers \(6\) and \(1\) are exponents, not coefficients. Exam tip: if a term of a given power is absent, its coefficient is always \(0\).