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What is the coefficient of \(x^5\) in the polynomial \(p(x)=4x^6-5x^4+2x^2-11\)?दिए गए बहुपद \(p(x)=4x^6-5x^4+2x^2-11\) में \(x^5\) का गुणांक क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 00
The polynomial has no term containing \(x^5\), which means its \(x^5\)-term is \(0x^5\). Therefore, the coefficient of \(x^5\) is 0. The other numerical choices are coefficients of \(x^2\), \(x^6\), and \(x^4\), respectively. Exam tip: the coefficient of any missing power in a polynomial is 0.बहुपद में \(x^5\) वाला पद लिखा नहीं है। इसका अर्थ है कि उसका पद \(0x^5\) है, इसलिए \(x^5\) का गुणांक \(0\) होगा। विकल्प B, C और D क्रमशः \(x^2\), \(x^6\) और \(x^4\) के गुणांक हैं। परीक्षा-युक्ति: किसी घात का पद अनुपस्थित हो तो उसका गुणांक हमेशा 0 माना जाता है।
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