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?

The binomial is a factor of the polynomial.

Step-by-step 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)