Question

Find the value of k if the remainder is 13 when
25 + 4x4 + kx3 + x – 11 is divided by x + 3

Answer 1

`k = (322)/(27)`

Explanation:

x + 3 = 0 → x = - 3

25 + 4(-3)⁴ + k(-3)³ + (-3) - 11 = 13

25 + 324 - 27k - 3 - 11 = 13

349 - 27k - 14 = 13

349 - 14 - 13 = 27k

349 - 27 = 27k

322 = 27k

k = 322/27