Question

factorise x^3+13x^2+32x+20,if it is given that x+2 is its factor​

Answer 1

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Answer 2

Answer:

LONG DIVISION METHOD :

In this method, we first divide x³ + 13x² + 32x + 20 by x + 2 to obtain the quotient as a quadratic in x and then we factorise the quotient .

• For long division refer to the attachment.

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•°• x³ + 13x² + 32x + 20

= (x+2) (x² + 11x + 10)

= (x+2) (x² + x + 10x + 10)

= (x+2) {(x² + x) + (10x + 10)}

= (x+2) {x(x+1)+10(x+1)}

= (x+2) (x+1) (x+10)

Hence, x³ + 13x² + 32x + 20 = (x+2) (x+1) (x+10) .