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For which value will the zero of (p(x)=(c+1)x+2c) be (-4)?किस मान पर (p(x)=(c+1)x+2c) का शून्यक (-4) होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(c=-2\)\(c=-2\)
If \(-4\) is a zero of \(p(x)\), then \(p(-4)=0\). Thus, \((c+1)(-4)+2c=0\), or \(-4c-4+2c=0\). This gives \(-2c-4=0\), so \(c=-2\). For \(c=-1\), the polynomial becomes the constant \(-2\), which has no zero. Exam tip: for a given zero \(a\), always use \(p(a)=0\).यदि \(-4\), \(p(x)\) का शून्यक है, तो \(p(-4)=0\) होगा। अतः \((c+1)(-4)+2c=0\), यानी \(-4c-4+2c=0\)। इससे \(-2c-4=0\) और \(c=-2\) प्राप्त होता है। \(c=-1\) रखने पर बहुपद \(-2\) बनता है, जिसका कोई शून्यक नहीं होता। परीक्षा टिप: किसी दिए गए शून्यक \(a\) के लिए हमेशा \(p(a)=0\) रखें।
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