Precalc Factor Theorem

Question

Use the Factor Theorem to show that x − c is a factor of P(x) for the given values of c.

P(x) = x³ − 10x² + 28x − 24; c = 6

Since P(6) = ? ,x-6 is a factor of P(x) by the Factor Theorem.

Factor P(x) completely.

P(x)= ?

Answer 1

P(6) = 0

P(x) = x^3 -10x^2 +28x -24

divide P(x) by x-6 to get a quadratic which you can solve

by factoring

(x-6)(x-2)

P(x) = (x-2)(x-6)^2

Answer 2

See the video.