Question

Factor the polynomial completely x^2-x-20

Answer 1

`\displaystyle [x + 4][x - 5]`

Explanation:

Find two quantities that when differed to −1, they also multiply to −20, and those numbers are 4 and −5.

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Answer 2

(x − 5) (x + 4)

Explanation:

x² − x − 20

Factor using AC method:

1 × -20 = -20

Factors of -20 that add up to -1: -5 and 4

Divide by 1 and reduce: -5/1 and 4/1

(x − 5) (x + 4)