k. Determine which of the following polynomials has (x+ 1) a factor
i x³+x²+ x +1
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f(x)=f(-1)
=x^3+x^2+x+1
=(-1)^3+(-1)^2+(-1)+1
=-1+1+(-1)+1
=-1+1-1+1
0
Hence,(x+1) is a factor of x^3+x^2+x+1
=x^3+x^2+x+1
=(-1)^3+(-1)^2+(-1)+1
=-1+1+(-1)+1
=-1+1-1+1
0
Hence,(x+1) is a factor of x^3+x^2+x+1
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