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:
Answer is c= 2
