Question

if x-4 is a factor of f(x)2x^2-3x-4k then the value of k is What?​

Answer 1

answer: value of k in the given equation is 5.

explanation:

here, f(x)= 2x²-3x-4k

since,(x-4) is a factor of f(x).

so by factor theorem,

f(4)=0

2(4)²-3(4)-4k=0

2(16)-12-4k=0

32-12-4k=0

20-4k=0

-4k= -20

k= -20/-4

k=5