document.write( "Question 373986: Find all roots by factoring: f(x)=x^3+7x^2+10x \n" ); document.write( "

Algebra.Com's Answer #266174 by Earlsdon(6294) $\"\"$ $\"About$

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Find all roots by factoring:
\n" ); document.write( " $\"f%28x%29+=+x%5E3%2B7x%5E2%2B10x\"$ First, factor an x since this is a common factor in all three terms.
\n" ); document.write( " $\"f%28x%29+=+x%28x%5E2%2B7x%2B10%29\"$ Now factor the trinomial.
\n" ); document.write( " $\"f%28x%29+=+x%28x%2B5%29%28x%2B2%29\"$ Now set $\"f%28x%29+=+0\"$
\n" ); document.write( " $\"x%28x%2B5%29%28x%2B2%29+=+0\"$ Apply te zero product rule.
\n" ); document.write( " $\"x+=+0\"$ or $\"x%2B5+=+0\"$ or $\"x%2B2+=+0\"$ so the roots are:
\n" ); document.write( " $\"x+=+0\"$
\n" ); document.write( " $\"x+=+-5\"$
\n" ); document.write( " $\"x+=+-2\"$ \n" ); document.write( "

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