document.write( "Question 64087: Rewrite the middle term as the sum of two terms and then factor completely.\r
\n" ); document.write( "\n" ); document.write( "4z^3 - 18z^2 – 10z
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Algebra.Com's Answer #44725 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
Rewrite the middle term as the sum of two terms and then factor completely.\r
\n" ); document.write( "\n" ); document.write( "4z^3 - 18z^2 – 10z First factor out the GCF 2z
\n" ); document.write( "\"2z%282z%5E2-9z-5%29\"
\n" ); document.write( "a=2, b=-9, c=-5
\n" ); document.write( "Replace the middle coefficient with two numbers that multiply to get ac, but add to get b.
\n" ); document.write( "ac=2(-5)=-10
\n" ); document.write( "-10(1)=-10
\n" ); document.write( "-10+1=-9
\n" ); document.write( "\"2z%282z%5E2-10z%2B1z-5%29\" Group the first two and last two terms.
\n" ); document.write( "\"2z%28%282z%5E2-10z%29%2B%281z-5%29%29\" Factor out the GCF from each group.
\n" ); document.write( "\"2z%282z%28z-5%29%2B1%28z-5%29%29\" Factor out the GCF (z-5)
\n" ); document.write( "\"2z%282z%2B1%29%28z-5%29\"
\n" ); document.write( "Happy Calculating!!!
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