Factor x³+2x²-x-2, step by step and explanation

Factor x³+2x²-x-2

please show ALL your steps for the first one !






also x^3 - 2x^2 - 4x + 8
IF U HAVE TIME

x³+2x²-x-2

take common factor x² in the first two terms
and take common factor -1 in the last two terms:

x²(x+2)-1(x+2)

now common factor is (x+2) so:

(x+2)(x²-1) or

(x+2)(x-1)(x+1)
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x³-2x²-4x+8

common factor x² for the first two terms
and -4 for the last two terms:

x²(x-2)-4(x-2)

(x-2)(x²-4) or

(x-2)(x-2)(x+2) =>(x+2)(x-2)²

(x³ - x) + (2x² - 2)

Factor the groups



(x³ - 2x²) + (-4x + 8)

Factor the groups.