The polynomial p(x) = 3x^3 - 20x^2+ kx + 12 is divisible by x - 3 for some constant k. Factor p(x) completely.
+37159 x-3 when x = 3 is subbed into the equation Remainder = 0 `
so k = 29
________3x^2 -11x_-4___________
x-3| 3x^3 - 20x^2+29x+12
3x^3 -9x^2
-11x^2 + 29 x +12
-11x^2 +33x
- 4x + 12
-4x +12
R = 0
Now factor 3x^2 - 11x -4 (3x+1)(x-4) then don't forget the RED factor above:
p(x) = (x-3)(3x+1)(x-4)
