Respuesta :

mhanifa

Answer:

c = 2

Step-by-step explanation:

P(x)=x^3-4x^2+3x+c

The polynomial has x - 2 as a factor

Rewriting the polynomial as:

  • x^3-4x^2+3x+c =
  • x^3 - 2x^2 - 2x^2 + 4x - x + c =
  • x^2(x - 2) - 2x(x - 2) - (x - c)

As we see the first 2 terms have (x -2) as a factor, so the third term:

  • (x - c) =  (x - 2)
  • c=2

Answer is c= 2