SOLUTION: Need help with soving the following prime factorization problem: Not sure of the steps. 1.)9t^2+36t 2.)14zx-18xz^2 Thanks

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Question 71871: Need help with soving the following prime factorization problem:
Not sure of the steps.
1.)9t^2+36t
2.)14zx-18xz^2
Thanks
Found 2 solutions by tutorcecilia, Earlsdon:
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
1.) %28%289t%5E2%2B36t%29%2F9%29 [Find the common number or term that divides each term evenly. Each term can be divided evenly by 9]
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%28%289%29%289t%5E2%2F9%2B36t%2F9%29%29 [Set the common factor outside of the parentheis and divide each term by the common factor]
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%28%289%29%28t%5E2%2B6t%29%29 [Divide]
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%28%289%29%28t%5E2%2B6t%29%29 [Look for any other common numbers or terms that can divide each term evenly. Each term can be divided evenly by "t"]
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%28%289t%29%28t%5E2%2Ft%2B6t%2Ft%29%29 [Set the common factor outside of the parentheis and divide each term by the common factor]
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%28%289t%29%28t%2B6%29%29 [Are there any more common numbers or factors? No]
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Check by multiplying the factors. You should get the original expression:
%28%289t%29%28t%2B6%29%29=%28%289t%5E2%2B36t%29%29

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2.) %2814zx-18xz%5E2%29 [Find the common number or term that divides each term evenly. Each term can be divided evenly by 2]
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%28+%282%29%2814zx%2F2-18xz%5E2%2F2%29%29 [Set the common factor outside of the parentheis and divide each term by the common factor]
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%282%29%287zx-9xz%5E2%29%29 [Divide]
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%282%287zx-9xz%5E2%29%29 [Look for any other common numbers or terms that can divide each term evenly. Each term can be divided evenly by "z"]
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%28%282z%29%287zx%2Fz-9xz%5E2%2Fz%29%29 [Set the common factor outside of the parentheis (z) and divide each term by the common factor].
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%28%282z%29%287x-9xz%29%29 [Divide]
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%28%282z%29%287x-9xz%29%29 [Look for any other common numbers or terms that can divide each term evenly. Each term can be divided evenly by "x"]
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%28%282zx%29%287x%2Fx-9xz%2Fx%29%29 [Set the common factor outside of the parentheis (x) and divide each term by the common factor].
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%28%282zx%29%287-9z%29%29 [Divide]
.
Check by multiplying the factors. You should get the original expression:
%28%282zx%29%287-9z%29%29=%2814zx-18xz%5E2%29

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
1) Factor:
9t%5E2%2B36t What are the factors of each term?
9t%5E2+=+%283%29%283%29%28t%29%28t%29 and 36t+=+%282%29%282%29%283%29%283%29%28t%29
%283%29%283%29%28t%29%28t%29+%2B+%282%29%282%29%283%29%283%29%28t%29 Find the common factors and take them outside of the parentheses.
%283%29%283%29%28t%29%2A%28t%2B2%2A2%29 Now simplify this.
9t%28t%2B4%29
2) Factor:
14zx-18xz%5E2 Factor each term.
%282%29%287%29%28z%29%28x%29+-+%282%29%283%29%283%29%28x%29%28z%29%28z%29 Take out the common factors from each term.
%282%29%28x%29%28z%29%287-9z%29 Simplify.
2xz%287-9z%29