Answer:
The value of k is 1.
Step-by-step explanation:
x – 1 is a factor of f(x)
This means that:
x - 1 = 0
x = 1
That means that when [tex]x = 1, y = 0[/tex]. We use this to find the value of k.
f(x) = 3x^3 - 4x + k
[tex]3*1^3 - 4(1) + k = 0[/tex]
[tex]3 - 4 + k = 0[/tex]
[tex]k = 1[/tex]
The value of k is 1.
