Find wether (x+1) is a factor of the polynomial.x to the 4 + 3to the power 3 +x to the power2- 5x+1.
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x^4+3^3+x^2-5x+1=0
(-1)^4+3^3+(-1)^2-5(-1)+1=0
1-9+1+5+1=0
-8+1+5+1=0
-3+1+1=0
-3+2=0
-1=0
therefore (x+1) is not the factor of the polynomial x^4+3^3+x^2-5x+1
x^4+3^3+x^2-5x+1=0
(-1)^4+3^3+(-1)^2-5(-1)+1=0
1-9+1+5+1=0
-8+1+5+1=0
-3+1+1=0
-3+2=0
-1=0
therefore (x+1) is not the factor of the polynomial x^4+3^3+x^2-5x+1
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