Determine if x - 2 is a factor of p (x) = x 4 - 3 x 2 + 2 x - 8, and explain why.

Question

Mathematics

Cherish Pineda

12 August, 13:45

Determine if x - 2 is a factor of p (x) = x 4 - 3 x 2 + 2 x - 8, and explain why.

+1

Answers (1)

Know the Answer?

Darwin Perkins · Answer 1

Step-by-step explanation:

If x - 2 is a factor of p (x), then p (2) will equal 0.

p (x) = x⁴ - 3x² + 2x - 8

p (2) = 2⁴ - 3 (2) ² + 2 (2) - 8

p (2) = 16 - 12 + 4 - 8

p (2) = 0

So x - 2 is indeed a factor of p (x).