Use the Factor Theorem to show if x − c is a factor of P(x) for the given values of c. P(x) = x4 + 4x3 − 17x2 − 36x + 72, c = 3, −3

Answer 1

According to the Factor Theorem, x - c is a factor of P(x) only when P(c) = 0.

Since P(3) = 72, x - 3 is not a factor of P(x).

On the other hand, P(-3) = 0, So x - (-3) = x + 3 is a factor of P(x).