document.write( "Question 544058: (5z+2)(z^2+3z+2)
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Algebra.Com's Answer #355017 by bucky(2189) $\"\"$ $\"About$

You can put this solution on YOUR website!
Given to multiply:
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\n" ); document.write( " $\"%285z%2B2%29%28z%5E2%2B3z%2B2%29\"$
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\n" ); document.write( "First multiply the 5z in the first set of parentheses by each of the three terms in the second set of parentheses as follows:
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\n" ); document.write( " $\"5z%2Az%5E2+=+5z%5E3\"$ then
\n" ); document.write( " $\"5z%2A3z+=+15z%5E2\"$ and finally
\n" ); document.write( " $\"5z%2A2+=+10z\"$
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\n" ); document.write( "Next multiply the 2 in the first set of parentheses by each of the three terms in the second set of parentheses as follows:
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\n" ); document.write( " $\"2%2Az%5E2+=+2z%5E2\"$ then
\n" ); document.write( " $\"2%2A3z+=+6z\"$ and finally
\n" ); document.write( " $\"2%2A2+=+4\"$
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\n" ); document.write( "Add all the answers together:
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\n" ); document.write( " $\"5z%5E3+%2B+15z%5E2+%2B+10z+%2B+2z%5E2+%2B+6z+%2B4\"$
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\n" ); document.write( "collect all the terms that have the same power of z:
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\n" ); document.write( " $\"5z%5E3+%2B+%2815z%5E2+%2B+2z%5E2%29%2B+%2810z+%2B+6z%29%2B4\"$
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\n" ); document.write( "combine the terms having the same power of z (in the two sets of parentheses) and you get:
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\n" ); document.write( " $\"5z%5E3+%2B+17z%5E2+%2B+16z+%2B+4\"$
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\n" ); document.write( "And that's the answer.
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\n" ); document.write( "Hope this helps you to understand the problem better.
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