document.write( "Question 55046: Help please I need to know how to factor this problem x^5-4x^3-8x^2+32 \n" ); document.write( "

Algebra.Com's Answer #37280 by funmath(2933) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E5-4x%5E3-8x%5E2%2B32\"$
\n" ); document.write( "First factor by grouping:
\n" ); document.write( " $\"%28x%5E5-4x%5E3%29%2B%28-8x%5E2%2B32%29\"$
\n" ); document.write( " $\"x%5E3%28x%5E2-4%29-8%28x%5E2-4%29\"$
\n" ); document.write( " $\"%28x%5E3-8%29%28x%5E2-4%29\"$
\n" ); document.write( "The 1st set of parenthesis is the difference of cubes x^3=(x)^3 and 8=(2)^3 the formula for that is $\"highlight%28a%5E3-b%5E3=%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29%29\"$ (a=x and b=2) and the second is the difference of squares x^2=(x)^2 and 4=(2)^2 the formula for that is: $\"highlight%28a%5E2-b%5E2=%28a%2Bb%29%28a-b%29%29\"$ (a=x and b=2)
\n" ); document.write( " $\"%28x-2%29%28x%5E2%2B%28x%29%282%29%2B%282%29%5E2%29%28x%2B2%29%28x-2%29\"$
\n" ); document.write( " $\"%28x-2%29%28x%5E2%2B2x%2B4%29%28x%2B2%29%28x-2%29\"$
\n" ); document.write( " $\"%28x-2%29%28x-2%29%28x%2B2%29%28x%5E2%2B2x%2B4%29\"$
\n" ); document.write( " $\"%28x-2%29%5E2%28x%2B2%29%28x%5E2%2B2x%2B4%29\"$
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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