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?
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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