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Factorise x^3 + 13x^2 + 32x + 20

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Factorise x3 + 13x2 + 32x + 20

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Let f(x) = x3 + 13x2 + 32x + 20 

Let f(- 1) 

= (- 1)3 + 13 (- 1)2 + 32 (- 1) + 20 

= – 1 + 13 – 32 + 20 = 33 – 33 = 0 

∴ (x + 1) is a factor of f(x). 

[ ∵ by factor theorem] Now dividing f(x) by (x +1)

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Factorise: x^3 + 13x^2 + 32x + 20
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