the polynomial 18x^3+mx^2-11x-2 has factors 3x-1 and -2x+4, determine the value of m
(3x-1)(-2x+4)(-3x-k) = 18x^3 + (6k-42)x^2 + (12-14k)x + 4k
so 4k = -2 ==> k = -1/2
But we need 12-14k = -11
Substituting k = -1/2, we get:
12 - 14(-1/2) = -11
12 + 7 = -11
This is not true, so there must be an error in the question or the given factorization.