Question

Find the value of k,
if x-1 is a factor of f(x)=4x^3+3x^2-4x+k.

Answer 1

Answer:

K=-3

Step-by-step explanation:

$x - 1 \\ x = 1 \\ f(x) = {4x}^{3} + {3x}^{2} - 4x + k \\ f(1) = 4 {(1)}^{3} + 3 {(1)}^{2} - 4(1) + k \\ 0 = 4 \times 1 + 3 \times 1 - 4 \times 1 + k \\ 0 = 4 + 3 - 4 + k \\ 0 = 3 + k \\ - 3 = k \\ k = - 3$

Answer 2

Answer:

Step-by-step explanation: