factorise x^3 + 2x^2 - 5x - 6

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DEAR REUBEN,

You can use factor theorem.
f(x) = x^3+2x^2-5x-6
f(-1) = -1+2+5-6 = 0
So, x+1 is a factor

Use synthetic division,
x^3+2x^2-5x-6 = (x+1)(x^2+x-6) = (x+1)(x-2)(x+3) = 0

So, the solution is x = -1, 2, -3

REGARDS
AHMED
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