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If (p(x)=7x-10), what is (p(x+1)-p(x))?यदि (p(x)=7x-10), तो (p(x+1)-p(x)) क्या है?
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Correct answer:सही उत्तर: 77
Given \(p(x)=7x-10\), we get \(p(x+1)=7(x+1)-10=7x-3\). Therefore, \(p(x+1)-p(x)=(7x-3)-(7x-10)=7\). The option \(7x\) is incorrect because the terms containing \(x\) cancel on subtraction. Exam tip: for a linear polynomial \(ax+b\), \(p(x+1)-p(x)=a\), the coefficient of \(x\).दिया है कि \(p(x)=7x-10\)। अतः \(p(x+1)=7(x+1)-10=7x-3\)। इसलिए \(p(x+1)-p(x)=(7x-3)-(7x-10)=7\)। विकल्प \(7x\) गलत है, क्योंकि घटाने पर \(x\) वाले पद कट जाते हैं। परीक्षा टिप: रैखिक बहुपद \(ax+b\) के लिए \(p(x+1)-p(x)=a\), अर्थात \(x\) का गुणांक होता है।
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