How many x -intercepts would the function shown below have? f(x)=2x(x+7)(x^2-7)(4x+5)^2(x+7) Answer Attempt 1 out of 2

Question

Answer 1

To find the x-intercepts of the function, we need to set the function equal to zero and solve for x.

Setting the function equal to zero:

Now, we can solve for x by setting each factor equal to zero:1.

Solving for x, we get

.2.

Solving for x, we get

.3.

Solving for x, we get

and

.4.

Solving for x, we get

.5.

Solving for x, we get

(repeated).Therefore, the function has 5 x-intercepts:

,

, and

.Answer: The function has 5 x-intercepts.

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