SOLUTION: (5z+2)(z^2+3z+2) Please help, I cannot seem to come up with the correct answer.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (5z+2)(z^2+3z+2) Please help, I cannot seem to come up with the correct answer.      Log On


   



Question 544058: (5z+2)(z^2+3z+2)
Please help, I cannot seem to come up with the correct answer.

Found 3 solutions by umnikmo, rfer, bucky:
Answer by umnikmo(75) About Me  (Show Source):
You can put this solution on YOUR website!
=5z^3+17z^2+16z+4

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
5z^3+15z^2+10z+2z^2+6z+4=
5z^3+17z^2+16z+4

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given to multiply:
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%285z%2B2%29%28z%5E2%2B3z%2B2%29
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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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5z%2Az%5E2+=+5z%5E3 then
5z%2A3z+=+15z%5E2 and finally
5z%2A2+=+10z
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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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2%2Az%5E2+=+2z%5E2 then
2%2A3z+=+6z and finally
2%2A2+=+4
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Add all the answers together:
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5z%5E3+%2B+15z%5E2+%2B+10z+%2B+2z%5E2+%2B+6z+%2B4
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collect all the terms that have the same power of z:
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5z%5E3+%2B+%2815z%5E2+%2B+2z%5E2%29%2B+%2810z+%2B+6z%29%2B4
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combine the terms having the same power of z (in the two sets of parentheses) and you get:
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5z%5E3+%2B+17z%5E2+%2B+16z+%2B+4
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And that's the answer.
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Hope this helps you to understand the problem better.
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