Factorise :-
xcube+ 13xsquare+32x+20

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Solution

By trial and error method, find out that at x = -1, x³ + 13x² + 32x + 20 = 0

Since x = -1 satisfies, therefore, x + 1 = 0 => (x+1) is a factor.

Divide x³ + 13x² + 32x + 20 by (x+1)

You will get (x+1)(x²+12x+20) = x³ + 13x² + 32x + 20

Factorising x²+ 12x + 20,

x² + 10x + 2x + 20 = 0

(x + 2)(x + 10) = 0

So, the x³ + 13x² + 32x + 20 = (x+1)(x+2)(x+10)

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