SOLUTION: Factor: 4b^2-15b+9

Question 70788: Factor:

4b^2-15b+9
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
4b^2 - 15b + 9
You take the product of the leading coefficient with the constant.
4 * 9 = 36
Consider all factors of 36:
1,36 or -1,-36
2,18 or -2,-18
3,12 or -3,-12
4,9 or -4,-9
6,6 or -6,-6
Does any of the pairs sum to the linear term (-15)?
-3 and -12 does!
4b^2 - 3b - 12b + 9
Now, we group (doesn't matter if you group 4b^2 and -3b or 4b^2 and -12b):
(4b^2 - 3b) + (-12b + 9)
b(4b - 3) - 3(4b - 3)
(b - 3)(4b - 3)
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