Find the value of a if (x+2a) is a factor of x^2 - 2ax^3 +2ax^3 +2x+2a

1.	Find the value of a if (x+2a) is a factor of x^2 - 2ax^3 +2ax^3 +2x+2a+3
Answer» <html><body><p><strong>Answer:</strong></p><p>Let p(x)=x </p><p>5</p><p> −4a </p><p>2</p><p> x </p><p>3</p><p> +2x+2a+3 and g(x)=x+2a</p><p>Now. g(x)=x+2a</p><p>x+2a=<a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a></p><p>x=−2a</p><p>Now, 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(−2a) <a href="https://interviewquestions.tuteehub.com/tag/must-2185568" style="font-weight:bold;" target="_blank" title="Click to know more about MUST">MUST</a> be 0</p><p>Thus, p(−2a)=0</p><p> =>(−2a) </p><p>5</p><p> −4a </p><p>2</p><p> (−2a) </p><p>3</p><p> +2(−2a)+2a+3=0</p><p> =>−<a href="https://interviewquestions.tuteehub.com/tag/32a-1855654" style="font-weight:bold;" target="_blank" title="Click to know more about 32A">32A</a> </p><p>5</p><p> +32a </p><p>5</p><p> −4a+2a+3=0</p><p> =>−2a+3=0</p><p> =>a= </p><p>2</p><p>3</p><p> </p><p> </p></body></html>

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