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

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)   (Show Source): You can put this solution on YOUR website!
=5z^3+17z^2+16z+4
Answer by rfer(16322)   (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)   (Show Source): You can put this solution on YOUR website!
Given to multiply:
.

.
First multiply the 5z in the first set of parentheses by each of the three terms in the second set of parentheses as follows:
.
then
and finally

.
Next multiply the 2 in the first set of parentheses by each of the three terms in the second set of parentheses as follows:
.
then
and finally

.
Add all the answers together:
.

.
collect all the terms that have the same power of z:
.

.
combine the terms having the same power of z (in the two sets of parentheses) and you get:
.

.
And that's the answer.
.
Hope this helps you to understand the problem better.
.
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