Is x-2 a factor of 4x^5 +5x^4 +1?

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

the answer is: the length is 5/6 yards.

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step-by-step explanation: