Determine x+1 is a factor of x³-x²-x+1
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Put x + 1 = 0
x = - 1
Let f(x) = x^3 - x^2 - x + 1
Consider, f( - 1) = (-1)^3-(-1)^2 - (- 1) + 1
= - 1 -1 + 1 + 1
= 0
Hence, x + 1 is factor of f(x)
x = - 1
Let f(x) = x^3 - x^2 - x + 1
Consider, f( - 1) = (-1)^3-(-1)^2 - (- 1) + 1
= - 1 -1 + 1 + 1
= 0
Hence, x + 1 is factor of f(x)
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