polynomials has (x+1) a factor x³+x²+x+1
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Step-by-step explanation:
x + 1= 0
or x= -1
by the factor theorem
X+1 will be factor of f(X). if f(-1) =0
Now , f(X) = x^3 + x^2 + x + 1
f(-1) = [(-1^3) + (-1^2) +(-1) +1]
or, -1+1-1+1=0
hence, X+1 is a factor of x^3+ x^2+ x+ 1
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