Use the remainder theorem to determine if x = 3 is a zero of the following polynomial, and find the quotient and the remainder. p(x) = x^2 + 18x - 63

, so by the remainder theorem you know that dividing by results in a remainder of zero.

8This means there is some such that

(provided )

Expand the numerator in the middle expression:

Because this is equal to , it follows that and . This happens when .

So, division yields a quotient of

with no remainder.

The writing is like bold so i can’t see it well