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

Factorise : x^3 + 13x^2 + 32x + 20

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Solution

Given polynomial is  x^3 + 13x^2 + 32x + 20
Now, by the hit and trial method we observed that  (x+1)  is one of the factors of a 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)

Posted by

Gautam harsolia

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