Answer:
Hello! I'd be happy to help you with your math question. The function you provided is F(x) = 4x^3 + 4x - 3. To find the zeros of this function, we can set the function equal to zero and solve for x:
F(x) = 4x^3 + 4x - 3 = 0
We can factor the cubic expression on the left-hand side of the equation:
(4x^3 + 4x - 3) = (2x + 1)(2x - 1) = 0
This tells us that either (2x + 1) = 0 or (2x - 1) = 0.
Solving for the first factor, we have:
2x + 1 = 0 --> 2x = -1 --> x = -1/2
And solving for the second factor, we have:
2x - 1 = 0 --> 2x = 1 --> x = 1/2
Therefore, the zeros of the function F(x) = 4x^3 + 4x - 3 are x = -1/2 and x = 1/2.
Zeros of the function: x = -1/2 and x = 1/2
Explanation: