SOLUTION: Please factor the trinomial completely. Thanks for the help. {{{45z^6+48z^4+12z^2}}}

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Question 45356: Please factor the trinomial completely. Thanks for the help.
45z%5E6%2B48z%5E4%2B12z%5E2
Answer by Earlsdon(6287) About Me  (Show Source):
You can put this solution on YOUR website!
First, find a common factor in each of the three terms. This would be 3z%5E2 so factor this out.
3z%5E2%2815z%5E4%2B16z%5E2%2B4%29
Next, factor the parentheses.
%2815z%5E4%2B16z%5E2%2B4%29+=+%283z%5E2%2B2%29%285z%5E2%2B2%29 So now you have:
45z%5E6%2B48z%5E4%2B12z%5E2+=+3z%5E2%283z%5E2%2B2%29%285z%5E2%2B2%29