Is x-2 a factor of 4x^5 +5x^4 +1?
1 answer:
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
+ 5
+ 1 , then
f(2) = 4
+ 5
+ 1
= 4(32) + 5(16) + 1
= 128 + 80 + 1
= 209
Since f(2) ≠ 0 then ( x - 2) is not a factor
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