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vlada-n [284]
3 years ago
14

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

Mathematics
1 answer:
nordsb [41]3 years ago
8 0

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) = 4x^{5} + 5x^{4} + 1 , then

f(2) = 4(2)^{5} + 5(2)^{4} + 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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<img src="https://tex.z-dn.net/?f=1%2B2x%3D4x%2B9" id="TexFormula1" title="1+2x=4x+9" alt="1+2x=4x+9" align="absmiddle" class="l
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