Q. 1 F4.0( 4 Votes )

Factorize each of the following polynomials.

x3 + 13x2 + 32x + 20

Answer :

Given,

x3 + 13x2 + 32x + 20,


put x = – 1


then, – 1 + 13 – 32 + 20 = 0


since, this equation is divisible by (x + 1).


according to the question,


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)


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