find the value of k if x minus 1 is a factor of 4 x cube + 3 x square - 4 x + k

Asked by solankipushkar | 21st Oct, 2020, 10:09: PM

Expert Answer:

As (x-1) is a factor of
4 x cubed plus 3 x squared minus 4 x plus k
T h e r e f o r e space x equals 1 space w i l l space s a t i s f y space t h e space e q u a t i o n space 4 x cubed plus 3 x squared minus 4 x plus k
s o space o n space p u t t i n g space x equals 1 space
4 cross times 1 cubed plus 3 cross times 1 squared minus 4 cross times 1 plus k equals 0
K equals negative 3

Answered by Utkarsh Lokhande | 22nd Oct, 2020, 07:16: AM