Question

factorise x^3+13x^2+32x+20​

Answer 1

Answer:

$\\(x + 1) (x +2) (x + 10)$

Step-by-step explanation:

$Let p(x) = x3 + 13x2 + 32x + 20p(-1) = -1 + 13 - 32 + 20 = -33 + 33 = 0$

Therefore (x + 1) is a factor of p(x).On dividing p(x) by (x + 1) we get

$p(x) (x + 1) = x2 + 12x + 20\\Thus, x3 + 13x2 + 32x + 20\\ = (x + 1)(x2 + 12x + 20)\\= (x + 1) (x2 + 10x + 2x + 20)\\= (x + 1)[x(x + 10) + 2(x + 10)]\\= (x + 1) (x +2) (x + 10)$

Hope this helps!

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