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If \(a,b,c\) are real numbers, when is \(ax^2+bx+c\) called a quadratic expression?यदि \(a,b,c\) वास्तविक संख्याएँ हैं, तो \(ax^2+bx+c\) कब द्विघात व्यंजक कहलाता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(a\ne0\)\(a\ne0\)
A quadratic expression must have highest power of \(x\) equal to 2, so the coefficient \(a\) of \(x^2\) must be non-zero. Both \(b\) and \(c\) may be zero. Exam tip: check the coefficient of the highest power first.द्विघात व्यंजक में \(x\) की सबसे बड़ी घात 2 होनी चाहिए, इसलिए \(x^2\) का गुणांक \(a\) शून्य नहीं होना चाहिए। \(b\) या \(c\) शून्य हो सकते हैं। परीक्षा टिप: पहले उच्चतम घात का गुणांक जाँचें।
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