Question

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Select all of the factors of x3 + 5x2 + 2x – 8.
x+5
x-3
x+4
x-1
x + 3
X + 2
DONE
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Answer 1

x + 4

x – 1

x + 2

Explanation:

Answer 2

(x - 1) (x + 2) (x + 4)

Explanation:

Factor the following:

x^3 + 5 x^2 + 2 x - 8

The possible rational roots of x^3 + 5 x^2 + 2 x - 8 are x = ± 1, x = ± 2, x = ± 4, x = ± 8. Of these, x = 1, x = -2 and x = -4 are roots. This gives x - 1, x + 2 and x + 4 as all factors:

Answer: (x - 1) (x + 2) (x + 4)