if x-1 is a factor of P (x) = x^3 - 5x^2 + 7x-3 which of the following represents the complete factorization for P (x) ?

Question

Katelynn Kane

Mathematics

16 June, 19:59

if x-1 is a factor of P (x) = x^3 - 5x^2 + 7x-3 which of the following represents the complete factorization for P (x) ?

+5

Answers (1)

Know the Answer?

Nicolas Porter · Answer 1

P (x) = (x-1) ² (x-3)

Step-by-step explanation:

P (x) = x³ - 5x² + 7x-3 = x² (x-1) - 4x (x-1) + 3 (x-1) = (x²-4x+3) (x-1)

P (x) = (x-1) (x-3) (x-1) = (x-1) ² (x-3)