Question

This is long division please do fastly​

Answer 1

Answer:

f(x) = x3 + 13x2 + 32x + 20

-2 is a zero of f(x), so x+2 will be factor of f(x)

On long division of f(x) by x+2 we get

So, f(x) = x3 + 13x2 + 32x + 20

= (x2 + 11x + 10)(x + 2)

= (x2 + 10x + x + 10)(x + 2)

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

Hence f(x)=0 if x+10 =0 or x+1=0 or x+2=0

Therefore, the zeroes of the polynomial are -1, -10, -2.