Question

Find the value of k,if x- 1 is a factor of4x^3+3x^2 -4x + k

Answer 1

k = -3
hope you find it helpful

Answer 2

if x-1 is factor then
x-1=0. satisfy the equation
hence x=1
now put in f(x)
${4x}^{3} + {3x}^{2} - 4x + k = 0 \: \\ for \: \: x = 1$
hence put x=1
$4 + 3 - 4 + k = 0 \\ k = - 3$