SOLUTION: how do i fCTOR AN EXPRESSION LIKE 6X SQ. + 17X +12

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Question 320484: how do i fCTOR AN EXPRESSION LIKE 6X SQ. + 17X +12
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
6x%5E2%2B17x%2B12
first multiply 6*12 to get 72, now find 2 numbers that multiply to 72 and add to get 17. 8*9=72 and 8+9=17
%286x%5E2%2B9x%29%2B%288x%2B12%29
3x%282x%2B3%29%2B4%282x%2B3%29
highlight%28%283x%2B4%29%282x%2B3%29%29 factored
%283x%2B4%29=0%282x%2B3%29=0
x=-4%2F3x=-3%2F2