Which is the correct first line for dividing the function

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 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:

step-by-step explanation:

what is the figure? attach a picture.

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt