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Factor x^5 + x^4 + 1.

 Oct 25, 2019
 #1
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+1

The expression can't be factored. 

Unless,

x^5+x^4+1=0 

If it was like that, then we can factor it.

first subtract 1 

x^5+x^4=-1

Now factor x^4

which is: 

x^4(x+1)=-1

also equals

0=\(x^4(x+1)+1\)

.
 Oct 25, 2019
 #2
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Factor x^5 + x^4 + 1.

 

(x^2 + x + 1) (x^3 - x + 1)

 Oct 25, 2019

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