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Factor the trinomial!! PLEASE HELP and if possible please explain how to do this!!

Factor the trinomial!! PLEASE HELP and if possible please explain how to do this!!-example-1

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Answer:

d. a = 39

Explanation:

Question:

for which value of "a" will the trinomial be factorizable.

x^2+ax-40

For the expression to have integer factors, a = sum of the pairs of factors of -40.

-40 has following pairs of factors

{(1,-40), (2,-20, (4,-10), (5,-8), (8, -5), (10,-4), (20,-2), (40,-1) }

meaning that the possible values of a are

+/- 39, +/- 18, +/- 6, +/- 3

out of which only +39 appears on answer d. a=39

User George Burdell
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