SOLUTION: Factor the following trinomial: -5x^2+2x+16

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Question 851954: Factor the following trinomial:
-5x^2+2x+16

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Try factoring negative 1 and then make trials to test multiply.
-1%285x%5E2-2x-16%29 and just focus on the quadratic factor, and try to factor it.

%285x%2Ba%29%28x%2Bb%29=5x%5E2%2B5bx%2Bax%2Bab=5x%5E2%2B%285b%2Ba%29x%2Bab
This should mean that 5b+a=-2 and ab=-16 but this does not make the process any easier.

Try different combinations.
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(5x__2)(x__8)---------- 2 and 40; and 16
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(5x__8)(x__2)--------- 10 and 8; and 16. Maybe.
-
(5x__4)(x__4)--------- 20 and 4; and 16
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The combination that works including which operations in each binomial factor is
%285x-8%29%28x%2B2%29, and since you started with a factor of negative 1, your factorization can be:
highlight%28%28-1%29%285x-8%29%28x%2B2%29%29.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Factor the following trinomial:
-5x^2+2x+16

-+5x%5E2+%2B+2x+%2B+16
16+%2B+2x+-+5x%5E2
highlight_green%28%282+-+x%29%288+%2B+5x%29%29