Question

If 1 and -2 are two zeroes of polynomial x^3-4x^2-7x+10 , then its third zero will be?


PLEASE SOMEONE SOLVE IT AND I WILL MARK IT AS A BRAINLIEST ANSWER!!​

Answer 1

Factor of the polynomial p(x)

==> (x -1)(x + 2)

==> g(x) = x² + 2x - x - 2

==> g(x) = x² + x - 2

Divide p(x) by g(x) to get f(x)

Refer to the attachment for divison step.

We get,

f(x) = x - 5

So the other zero ( i.e., third zero of p(x) ) is 5