Answer:
No
Step-by-step explanation:
If (x - h) is a factor of f(x) then f(h) = 0
Here
f(x) = 2[tex]x^{4}[/tex] - 3x³ + 4x² + x + 2 and
if divisor (x - 2) is a factor the f(2) = 0
f(2) = 2[tex](2)^{4}[/tex] - 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
