Question

P(-2)=1 P(-1)=3 P(1)=0 P(2)=4
What is the remainder when P(x) is divided by (x - 1)?

Answer 1

The remainder is 0

Explanation:

Polynomial Remainder Theorem

The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).

We are given the values of P for various values of x as follows:

P(-2)=1

P(-1)=3

P(1)=0

P(2)=4

Applying the polynomial remainder theorem, finding the remainder when P(x) is divided by x-1 is just finding P(1).

Since P(1) = 0, the remainder is 0