Consider the trinomial x^2 + 3x - 40. as a first step to factoring it, find the factors of - 40 such that the sum of those factors is 3. (enter your answers as a comma-separated list.)

Question

Adeline

Mathematics

20 January, 12:33

Consider the trinomial x^2 + 3x - 40. as a first step to factoring it, find the factors of - 40 such that the sum of those factors is 3. (enter your answers as a comma-separated list.)

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Timothy Elliott · Answer 1

What are factors of - 40?

(-20) (2)

(-10) (4) (sum of these factors is 6, which is not what we wanted)

(-5) (8) = - 40 and the sum of the factors (-5) and (8) is 3.

{-5, 8} is the list of factors of - 40 that add up to 3.