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Riya says that both \(5p^2-3p+7\) and \(4p^{-1}+2\) are polynomials in \(p\). Which is the correct evaluation of her statement?रिया कहती है कि \(5p^2-3p+7\) और \(4p^{-1}+2\), दोनों \(p\) के बहुपद हैं। उसके कथन का सही मूल्यांकन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Only \(5p^2-3p+7\) is a polynomial in \(p\).केवल \(5p^2-3p+7\), \(p\) का बहुपद है।
In \(5p^2-3p+7\), the powers of \(p\) are 2, 1, and 0, all non-negative integers, so it is a polynomial. In \(4p^{-1}+2\), the power is \(-1\), so it is not a polynomial. Exam tip: check for negative powers first.\(5p^2-3p+7\) में \(p\) की घातें 2, 1 और 0 हैं, जो अशून्य पूर्णांक हैं; इसलिए यह बहुपद है। \(4p^{-1}+2\) में घात \(-1\) है, इसलिए यह बहुपद नहीं है। परीक्षा में ऋणात्मक घात तुरंत जाँचें।
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