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If \(p(x)=4x-12\), what is its zero?यदि \(p(x)=4x-12\) है, तो इसका शून्यक क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 33
A zero of a polynomial is the value of the variable for which the polynomial equals zero. Setting \(p(x)=0\) gives \(4x-12=0\), so \(4x=12\) and \(x=3\). For the closest distractor, \(p(-3)=-24\), so −3 is not a zero. Exam tip: the zero of a linear polynomial \(ax+b\) is \(-b/a\).बहुपद का शून्यक वह मान होता है जिसके लिए उसका मान शून्य हो जाता है। इसलिए \(p(x)=0\) रखने पर \(4x-12=0\), अतः \(4x=12\) और \(x=3\)। विकल्प −3 देने पर \(p(-3)=-24\), इसलिए वह शून्यक नहीं है। परीक्षा-युक्ति: रैखिक बहुपद \(ax+b\) का शून्यक \(-b/a\) होता है।
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