SOLUTION: Please show me how to factor this polynomial completely: 4x^2-20x+25 Thank you so much!!

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Question 90320: Please show me how to factor this polynomial completely:
4x^2-20x+25
Thank you so much!!

Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
4x%5E2-20x%2B25
This is always a bit more difficult when the coefficient of x^2 is not a 1, but you can still do it!
The way to think about what the factors are is: What are the factors of 25, which, when added together and then are multiplied by the factors of 4, will give you -20? Ouch, that is a brain cramp. However, I know 5x5=25, and 2x2 is 4, so we can try that to see it it works...
%282x-5%29%282x-5%29
Yes, it does. Prove it to yourself by multiplying out these factors and be sure you get the original expression.
Good Luck,
tutor_paul@yahoo.com