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Question 88695: Hello. I'm in need of your help. I'm trying to factor a quadratic equation. i've tried visiting other sites including yours, but have not been able to answer the question. Could you please answer?
See below.
When answering this question please be sure to add your backup data. Since this question is part of my homework, I would like to use your findings as a benchmark for the rest of my assignment.
Thanks,
Joe
8x2 -32x +32
p.s. feel free to drop me a line if you have any questions!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Factor:
1st: Look for a common factor in the terms of your problem:
8x^2 -32x +32
You have a common factor of 8 because each term is multiple of 8.
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Factor out the common factor, as follows;
= 8(x^2-4x+4)
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2nd: Now you try to factor the trinomial x^2-4x+4
You look for one of the following forms:
a. difference of squares
b. perfect trinomial square
c. general trinomial
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x^2-4x+4 is a perfect trinomial square:
It factors as (x-2)(x-2) or (x-2)^2
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3rd: When the factors you have need no longer be factored you are finished:
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Final Answer:
= 8(x-2)^2
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Cheers,
Stan H.
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