Question

For a polynomial p(x) when divided by x+3 leaves a remainder of 2
So which of the following is true?

• A. p(3)=2
• B. p(-3)=2
• C. p(2)=-3
• D. p(-2)= 3

Answer 1

The correct option is B

p(-3)=2

p(-3)=2

The remainder theorem tells us that if a polynomial p(x) is divided by x-a then the remainder is equal to p(a).so when p(x) is divided by x+3=x-(-3) , then the remainder must be p(-3)