Find the remainder when f(x) is divided by (x - k).f(x) = 4x3 - 5x2 + 2x + 11; k= 3

3]  4   -5   2   11
          12  21  69
----------------------
     4     7  23  80

80 would be the remainder
Another method would be to plug 3 into the equation for x
[tex]4(3)^{3}-5(3)^{2}+2(3)+11[/tex] = 4(27) - 5(9) + 6 + 11 = 108 - 45 + 6 + 11 = 63 + 6 + 11 = 80