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Factorise : (iii) x ^3 + 13 x ^2 + 13 x + 20

5.(iii)  Factorise :

    (iii)    x^3 + 13x^2 + 32x + 20

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Given polynomial is  x^3 + 13x^2 + 32x + 20

Now, by hit and trial method we observed that  (x+1)  is one of the factore of given polynomial.

By long division method, we will get


We know that  Dividend = (Divisor \times Quotient) + Remainder

x^3 + 13x^2 + 32x + 20=(x+1)(x^2+12x+20)

                                               = (x+1)(x^2+10x+2x+20)
             
                                               = (x+1)(x+10)(x+2)

Therefore, on factorization of  x^3 + 13x^2 + 32x + 20 we will get  (x+1)(x+10)(x+2)

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