Question

Given f(x) = 3x³ + kx- 10, and x - 2 is a factor of f(x), then what is the value of k?

Answer 1

x=2

3x^3 + kx -10

but x=2

substute in eq

3{2}^3 +k{2} - 10

24 +2k-10=0

2k=10-24

2k=-14

k=-14/2

k=-7