# 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#?

(x-1) is a factor

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

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

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