# 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:

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