SOLUTION: Could someone please help me factor the following equation: 4x^2-32x+60 Thanks

Question 73268: Could someone please help me factor the following equation:
4x^2-32x+60
Thanks
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!

.
Notice that all the coefficients have 4 as a common factor. So you can pull the 4 out to get:
.

.
Notice that the factor pairs of 15 are (1*15) and (5*3). Can either of these factor pairs
be used to get -8 as their sum and +15 as their product? How about -5 and -3?
.
This results in:
.

.
You can multiply these three factors out and see if you don't get back to the original
expression.
.
Hope this helps. Remember that if the term has a coefficient to see if that
coefficient is a common factor of all the other terms. If it is, factor it out of all
the terms. Factoring is a lot easier if the leading term (in this case has
a coefficient (multiplier) of just 1.

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