Question

1) If a polynomial is divided by a binomial and the remainder is 0, what does this tell you about the relationship between the binomial and the polynomial?

Answer 1

The binomial is a factor of the polynomial.

Explanation:

If a polynomial is divided by a binomial and the remainder is 0.

Then the binomial is a factor of the polynomial.

If a polynomial g(x) is divided by (x-a) ,it gives g(a) as remainder

Then g(x) = (x-a) Q(x) + g(a)

Hera g(a) = 0

So, g(x) = (x-a) Q(x)

It shows that (x-a) is a factor of g(x)