# Obtain all zeros of   if one of its zeros is -2.

We know that if is a zero of a polynomial then Since -2 is zero of Therefore is a factor of .

Now on divide   by to find other zeros. By applying division algorithm, we have:

x3 + 13x2 + 32x + 20 = (x+2)(x2+11x+10)

We do factorisation here by splitting the middle term,

⇒ x3 + 13x2 + 32x + 20 = (x+2)(x2+11x+10)

⇒ x3 + 13x2 + 32x + 20 = (x+2)(x2+10x+x+10)

⇒ x3 + 13x2 + 32x + 20 = (x+2) {x(x+10)+1(x+10)}

⇒ x3 + 13x2 + 32x + 20 = (x+2) (x+10)(x+1)

Hence, the zeros of the given polynomial are: Rate this question :

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