Answer:
No
Step-by-step explanation:
By the Factor theorem
If (x - h) is a factor of f(x) then f(h) = 0
Here (x - 2) with h = 2 and f(x) = 4[tex]x^{5}[/tex] + 5[tex]x^{4}[/tex] + 1 , then
f(2) = 4[tex](2)^{5}[/tex] + 5[tex](2)^{4}[/tex] + 1
= 4(32) + 5(16) + 1
= 128 + 80 + 1
= 209
Since f(2) ≠ 0 then ( x - 2) is not a factor
