Factor these trinomials with a POSITIVE CONSTANT ( + C) x^2+ 7x + 12 My answer: (x + 1)(x + 12 )????

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Factor these trinomials with a POSITIVE CONSTANT ( + C) x^2+ 7x + 12 My answer: (x + 1)(x + 12 )????

Mathematics
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x^2+7x+12 what two numbers times to give 12 and add to give 7?
what grade are you?
9

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okay so what are the factors of 12? here's one of them (1,12) what are the others?
5
not quite so 1*12=12, 2*6=12, 3*4=12. So (1,12), (2,6), (3,4) are factors do any of these pairs add up to 7?
(x + 3)(x + 4)
perfect :D
Thanks
x^2+ 7x + 12 = x^2 + 3x + 4x + 12 ( since 7x = 3x+4x) = x(x + 3) +4( x + 3) Take (x +3) as common term = (x +3)(x +4) Therefore, Answer = ( x+3 )( x+4 )

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