Given function is f(x) = x³ -12x +16.
We can write it as x³ +0x² -12x +16.
We need to write the numbers in order from left to right, so it would be {1, 0, -12, 16}.
Given factor is x -2 = 0, that means x = 2. So we need to divide the numbers by 2.
So correct way to divide the function would be 2 L 1, 0, -12, 16.
Hence, option C is correct.
The system of the equation doesn't give the solution at (-3, -6).
<h2>Given to us</h2>
<h3>Equation 1,</h3>
-4x+y = 6
solve for y

<h3>Equation 2,</h3>
5x-y =21
substitute the value of y in equation 2,

Substitute the value of x in equation 2,

We can see that the solution of the two equations is at (27, 114). Also, it can be verified by plotting the line on the graph.
Hence, the system of the equation doesn't give the solution at (-3, -6).
Learn more about system of equations:
brainly.com/question/12895249
Answer is in the file below
tinyurl.com/wpazsebu