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For the polynomial \(P(x)=(a-5)x^7-2x^5+4\) to have degree 5, what must be the value of \(a\)?बहुपद \(P(x)=(a-5)x^7-2x^5+4\) की डिग्री 5 होने के लिए \(a\) का मान क्या होना चाहिए?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 55
For degree 5, the coefficient of \(x^7\) must become zero. Thus, \(a-5=0\), so \(a=5\). The highest remaining non-zero power is then \(x^5\). Exam tip: always check whether the leading coefficient can vanish.डिग्री 5 होने के लिए \(x^7\) का गुणांक शून्य होना चाहिए। अतः \(a-5=0\), इसलिए \(a=5\)। तब सबसे बड़ी शून्येतर घात \(x^5\) है। परीक्षा टिप: पहले उच्चतम घात वाले पद का गुणांक जाँचें।
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