The answer is the third option.

Step-by-step explanation:

1. To divide the polynomials given above, by , you must complete the polynomial with the missing term :

2. Now, you need to write the coefficients of the polynomial:

1 0 -12 16

3. You must write the denominator and solve for in the deminator to find the number that you need to write in the box to make the division:

The answer is the third option.

Step-by-step explanation:

1. To divide the polynomials given above, by , you must complete the polynomial with the missing term :

2. Now, you need to write the coefficients of the polynomial:

1 0 -12 16

3. You must write the denominator and solve for in the deminator to find the number that you need to write in the box to make the division:

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.

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