Question

Is (x-2) a factor of 2x^4 - 3x^3 +4x^2 + x +2?

Answer 1

Answer:

No

Step-by-step explanation:

If (x - h) is a factor of f(x) then f(h) = 0

Here

f(x) = 2$x^{4}$ - 3x³ + 4x² + x + 2 and

if divisor (x - 2) is a factor the f(2) = 0

f(2) = 2$(2)^{4}$ - 3(2)³ + 4(2)² + 2 + 2

     = 2(16) - 3(8) + 4(4) + 4

    = 32 - 24 + 16 + 4

    = 28 ≠ 0

Then (x - 2) is not a factor of the polynomial