Question

find the value of K if x -2 is a factor of 4xcube +3xsquare - 4x +K

Answer 1

Answer:

if x-2 is a factor of equation then x-2=0

x=2

put x=2 in the equation

$4( { 2}^{3} ) + 3( {2}^{2} ) - 4(2) + k =0 \\ 32 + 12 - 8 + k = 0 \\ 44 - 8 + k = 0 \\ 36 + k = 0 \\ k = - 36$