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| 1. |
Find the value of my for which (2x-1) is a factor of 8x^4 + 4x^3 - 16x^2 + 10x + m |
| Answer» <html><body><p><<a href="https://interviewquestions.tuteehub.com/tag/p-588962" style="font-weight:bold;" target="_blank" title="Click to know more about P">P</a>>Let p(<a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>)=8x</p><p></p><p>4</p><p></p><p>+4x</p><p></p><p>3</p><p></p><p>−16x</p><p></p><p>2</p><p></p><p>+10x+m and g(x)=2x−1</p><p></p><p>Now, g(x)=2x−1</p><p></p><p>=>2x−1=0</p><p></p><p>=>x=</p><p></p><p>2</p><p></p><p>1</p><p></p><p>If g(x) is a <a href="https://interviewquestions.tuteehub.com/tag/factor-458892" style="font-weight:bold;" target="_blank" title="Click to know more about FACTOR">FACTOR</a> of p(x), then p(</p><p></p><p>2</p><p></p><p>1</p><p></p><p>) must be 0</p><p></p><p>Thus, p(</p><p></p><p>2</p><p></p><p>1</p><p></p><p>)=0</p><p></p><p>=><a href="https://interviewquestions.tuteehub.com/tag/8-336412" style="font-weight:bold;" target="_blank" title="Click to know more about 8">8</a>(</p><p></p><p>2</p><p></p><p>1</p><p></p><p>)</p><p></p><p>4</p><p></p><p>+4(</p><p></p><p>2</p><p></p><p>1</p><p></p><p>)</p><p></p><p>3</p><p></p><p>−16(</p><p></p><p>2</p><p></p><p>1</p><p></p><p>)</p><p></p><p>2</p><p></p><p>+10(</p><p></p><p>2</p><p></p><p>1</p><p></p><p>)+m=0</p><p></p><p>=></p><p></p><p>16</p><p></p><p>8</p><p></p><p>+</p><p></p><p>8</p><p></p><p>4</p><p></p><p>−</p><p></p><p>4</p><p></p><p>16</p><p></p><p>+5+m=0</p><p></p><p>=></p><p></p><p>2</p><p></p><p>1</p><p></p><p>+</p><p></p><p>2</p><p></p><p>1</p><p></p><p>−4+5+m=0</p><p></p><p>=>1+1+m=0</p><p></p><p>=>m=−2</p></body></html> | |