Answer:
K = -47.5
Explanation:
The zero of an equation is a number that when substituted in the equation gives the result zero
We are given that:
4 is a zero of f(x) = 3x³ + kx - 2
This means that:
When we substitute x = 4 in f(x) the result will be zero
Therefore:
3(4)³ + k(4) - 2 = 0
Now, we simply solve for K as follows:
3(4)³ + k(4) - 2 = 0
3(64) + 4k - 2 = 0
192 + 4k - 2 = 0
190 + 4k = 0
4k = -190
k = -47.5
Hope this helps :)
