Question

Divide the polynomial p(x) by x-2 yields a quotient q(x) and a remainder of 1. if q(-2)=-6, find p(2) and p(-2).

Answer 1

To find p(2) and p(-2) when dividing the polynomial p(x) by x-2, we use the Remainder Theorem. p(2) = 1 and p(-2) = -6.

Step-by-step explanation:

To find p(2) and p(-2), we need to use the given information that when you divide the polynomial p(x) by x-2, you get a quotient q(x) and a remainder of 1. We are also given that q(-2) = -6. From this information, we can use the Remainder Theorem to find p(2) and p(-2).

The Remainder Theorem states that if you divide a polynomial p(x) by x-a and have a remainder of r, then p(a) = r.

In this case, we divide p(x) by x-2 and have a remainder of 1. Therefore, p(2) = 1 and p(-2) = -6.