Answer and Step-by-step explanation:
First, to find the zeros of the function, we can take out a common factor from the equation, and then factor.
The equation has a common factor of 2 (so distribute of the 2 from all of the numbers).
2(
)
Now, we factor. Find two numbers that multiplies to
and adds up to -6x.
-3x and -3x.
Now, we substitute these two for -6x.
![2(x^2 - 3x-3x+9)](https://img.qammunity.org/2022/formulas/mathematics/high-school/5bdvjh0k3y96ga6wuiyw98kv4c2ctgrphm.png)
Factor.
![2(x - 3)(x-3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/3r06vgbh568bmxsursbzlslxjgt17xezam.png)
Finally, we set all of the values to 0 and solve for x.
2 ≠ 0
x - 3 = 0 x = 3
x - 3 = 0 x = 3
That means the answer is C. x = 3
(Not shown, but the multiplicity of this x value is 2, because there are two
x = 3)
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