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InterviewSolution
| 1. |
Please tell the answer(-10)×(-2)+(-10)=3 |
| Answer» <html><body><p><img align="absmiddle" alt="\huge{\underline{\pmb{\pink{Answer}}}}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?<klux>F</klux>=%5Chuge%7B%5Cunderline%7B%5Cpmb%7B%5Cpink%7BAnswer%7D%7D%7D%7D" title="\huge{\underline{\pmb{\pink{Answer}}}}"/>Let f(x)=x </p><p>3</p><p> +10x </p><p>2</p><p> −37x+26</p><p>Putting x=<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>, we <a href="https://interviewquestions.tuteehub.com/tag/get-11812" style="font-weight:bold;" target="_blank" title="Click to know more about GET">GET</a></p><p>f(1)=1+10−37+26=0</p><p>∴ By <a href="https://interviewquestions.tuteehub.com/tag/factor-458892" style="font-weight:bold;" target="_blank" title="Click to know more about FACTOR">FACTOR</a> theorem, x−1 is factor of f(x).</p><p>On dividing x </p><p>3</p><p> +10x </p><p>2</p><p> −37x+26 by x−1, we get x </p><p>2</p><p> +11x−26 as the quotient and remainder =0.</p><p>∴ The other factor of f(x) are the factor of x </p><p>2</p><p> +11x−26</p><p>Now, x </p><p>2</p><p> +11x−26</p><p>=x </p><p>2</p><p> +13x−2x−26</p><p>=x(x+13)−2(x+13)</p><p>=(x+13)(x−2)</p><p>Hence, x </p><p>3</p><p> +10x </p><p>2</p><p> −37x+26=(x−1)(x−2)(x+13)</p><p></p><p></p></body></html> | |