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Select the correct answer.If the factors of quadratic function g are (x − 7) and (x + 3), what are the zeros of function g?

Question

Select the correct answer.

If the factors of quadratic function g are (x − 7) and (x + 3), what are the zeros of function g?

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Solution

The zeros of a function are the x-values for which the function equals zero. They are found by setting each factor equal to zero and solving for x.

For the factor (x - 7), set it equal to zero:

x - 7 = 0

Add 7 to both sides:

x = 7

So, one zero of the function g is 7.

For the factor (x + 3), set it equal to zero:

x + 3 = 0

Subtract 3 from both sides:

x = -3

So, the other zero of the function g is -3.

Therefore, the zeros of the function g are 7 and -3.

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