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Which of the following can be a quadratic polynomial whose zeroes are \(\frac{2}{3}\) and \(-\frac{5}{4}\)?निम्नलिखित में से कौन-सा द्विघात बहुपद \(\frac{2}{3}\) और \(-\frac{5}{4}\) को शून्यक रखता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(12x^2+7x-10\)\(12x^2+7x-10\)
A polynomial with zeroes \(\frac{2}{3}\) and \(-\frac{5}{4}\) is a nonzero multiple of \((3x-2)(4x+5)\). Expanding gives \(12x^2+7x-10\), which is option A. Its zeroes are therefore the two values given.जिन शून्यकों के मान \(\frac{2}{3}\) और \(-\frac{5}{4}\) हों, उनसे बना बहुपद \((3x-2)(4x+5)\) का कोई अशून्य गुणज होगा। इसे खोलने पर \(12x^2+7x-10\) मिलता है, जो विकल्प A है। इसके शून्यक दिए गए दोनों मान हैं।
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