Use the Factor Theorem to show that x − c is a factor of P(x) for the given values of c.
P(x) = 5x4 − 13x3 − 39x2 + 117x − 54; c = −3, c = 3
Since
P(−3) = and P(3) = , x + 3 and x − 3
are factors of P(x) by the Factor Theorem.
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