The value of k is -4.
Given that,
- The equation is [tex]f(x) = 3x^3 + kx + 1[/tex].
- And, x - 1 is the factor of f(x).
Based on the above information, the calculation is as follows:
[tex]f(x) = 3x^3 + kx + 1\\\\= 3(1)^3 + k(1) + 1\\\\= 3 + k + 1 \\\\k = -4[/tex]
Therefore, we can conclude that the value of k is -4.
Learn more: brainly.com/question/16115373
