SOLUTION: Given: P(x)= x^3-3x^2+x-3 and c=3 Show that c is a root of P(x) Show that x-c is a factor of P(x)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Given: P(x)= x^3-3x^2+x-3 and c=3 Show that c is a root of P(x) Show that x-c is a factor of P(x)      Log On


   

Question 379486: Given: P(x)= x^3-3x^2+x-3 and c=3
Show that c is a root of P(x)
Show that x-c is a factor of P(x)
Answer by robertb(5830) About Me  (Show Source):
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P%283%29+=+3%5E3+-+3%2A3%5E2+%2B+3+-+3+=+0. Thus 3 is a root of P(x). By the factor theorem, x - 3 divides, or is a factor of, P(x).