Is x+4 a factor of 3x^4 + 4x - 2x^2

Question

Mark Singleton

Mathematics

10 June, 15:49

Is x+4 a factor of 3x^4 + 4x - 2x^2

+3

Answers (1)

Know the Answer?

Kamora Brewer · Answer 1

No. x + 4 is not a factor in a given polynomial.

Step-by-step explanation:

Let w (x) - polynomial

If x - q is a factor of w (x), then w (q) = 0.

We have w (x) = 3x⁴ + 4x - 2x² and x + 4 = x - (-4) → q = - 4.

Substitute:

w (-4) = 3 (-4) ⁴ + 4 (-4) - 2 (-4) ² = 3 (256) - 16 - 2 (16)

= 768 - 16 - 32 = 720 ≠ 0