SOLUTION: Factor 8a^2 - 26a + 15

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Question 751646: Factor
8a^2 - 26a + 15
Found 2 solutions by MathLover1, tommyt3rd:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

8a%5E2+-26a+%2B+15....write -26a as -6a-20a
8a%5E2-6a-20a%2B15....group
%288a%5E2-6a%29-%2820a-15%29
2a%284a-3%29-5%284a-3%29
%282a-5%29%284a-3%29

Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
We need a pair of numbers that add to -26 and multiply to 120. After searching we find -20 and -6.

%0D%0A8a%5E2-20a-6a%2B15%0D%0A
rearranging and placing parentheses...
%0D%0A%288a%5E2-20a%29-%286a-15%29%0D%0A
removing gcds and factoring...

%0D%0A4a%282a-5%29-3%282a-5%29=%284a-3%29%282a-5%29%0D%0A


:)