# How do you use the factor theorem to determine whether x-1 is a factor of  P(x)=x^3 - 3 x^2 + 10 x - 8?

##### 1 Answer
Jan 13, 2016

(x-1) is a factor

#### Explanation:

The factor theorem states that (x-a) is a factor of P(x) if P(a)=0.

$P \left(1\right) = 1 - 3 + 10 - 8 = 0$

Therefore (x-1) is a factor of P(x).