How do you use the factor theorem to determine whether x+1 is a factor of $x^{3} - x^{2} + 3 x - 3$ $x^3 - x^2 + 3x -3$ ?

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Answer 1 · 2016-01-04T22:53:02

If $x - r$ $x-r$ is a factor of a polynomial $P (x)$ $P(x)$ then $P (r) = 0$ $P(r)=0$ .But here

$x - (- 1)$ $x-(-1)$ is not a factor of $x^{3} - x^{2} + 3 x - 3$ $x^3-x^2+3x-3$

How do you use the factor theorem to determine whether x+1 is a factor of x3−x2+3x−3x^3 - x^2 + 3x -3?