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F(x) = 4x^3 + 4x -3

Determine the zeros of the function.

User Urlreader
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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:

User Frohlich
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