Question

What value of k makes the factor (x+3) a factor of the function f(x)= 3x^3–2x+k? Someone plz help!!!! It’s for pre cal! It’s using the synthetic division

Answer 1

75

Explanation:

Since x+3 is the factor of the function f(x) .

So, -3 should satisfy f(x),

Thus putting -3 in f(x) we get

3×
`(-3)^(3)`-2×(-3)+k = 0

-81+6+k = 0

k = 75.

So , k should be equal to 75.