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For which value of \(a\) will \(p(x)=(a^2-9)x^2+(a+3)x-5\) be a linear polynomial?किस मान के लिए \(p(x)=(a^2-9)x^2+(a+3)x-5\) एक रैखिक बहुपद होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(a=3\)\(a=3\)
For a linear polynomial, the coefficient of \(x^2\) must be zero and the coefficient of \(x\) must be non-zero. From \(a^2-9=0\), \(a=\pm3\). At \(a=-3\), the \(x\)-coefficient is also 0, so only \(a=3\) works. Exam tip: check both conditions.रैखिक बहुपद में \(x^2\) का गुणांक शून्य और \(x\) का गुणांक अशून्य होना चाहिए। \(a^2-9=0\) से \(a=\pm3\) मिलता है। \(a=-3\) पर \(x\) का गुणांक भी 0 है, इसलिए केवल \(a=3\) सही है। परीक्षा टिप: दोनों शर्तें जाँचें।
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