Question

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

Answer 1

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

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