Question

If x-1 is the factor of the polynomial 4x³+kx²-4x-3, then k=?​

Answer 1

Step-by-step explanation:

K = 3

ƓɪƔƐЛ:-

χ - 1 is a factor..

Therefore, x=1.

ON PUTTING VALUE OF X.

$p(x) = 4x³+kx²-4x-3 \\ = 4 \times {1}^{3} + k \times {1}^{2} - 4 \times 1 - 3 \\ = 4 + k - 4 - 3 \\ 0 = k - 3 \\ k = 3$

HENCE, THE VALUE OF K IS 3