Is x-3 a factor of x^5 - 5x^4 + 6x^3 - 5x^2 + 16x - 3?
A. Yes, because the remainder is 0
B. Yes, because the remainder is not 0
C. No, because the remainder is 0
D. No, because the remainder is not zero
+12528 (x^5 - 5x^4 + 6x^3 - 5x^2 + 16x - 3) : (x - 3) = x^4 - 2x^3 - 5x + 1
x^5 - 3x^4
———————————————————————————————————————
- 2x^4 + 6x^3 - 5x^2 + 16x - 3
- 2x^4 + 6x^3
——————————————————————————————————
- 5x^2 + 16x - 3
- 5x^2 + 15x
——————————————————
x - 3
x - 3
——————
0
A
