Use the remainder theorem to determine which of the following is a factor of p(x) = x 3 - 2x 2 - 5x + 6. a) x + 1 b) x - 2 c) x - 3 d) x + 3

ANSWER

Using the remainder theorem,

therefore


is a factor of the polynomial.

EXPLANATION

The given polynomial is


According to the remainder theorem if

then,


is a factor of the polynomial.

For the first option,







Since



is not a factor of the polynomial.

For the second option,







Since


is also not a factor.

For the third option,









Therefore

is a factor of the given polynomial.

For the last option,






This is again not a factor.

The correct answer is C.