Which of the following shows the division problem below in synthetic division form? (6x^3+x^2-3)/(x-7) a. -7/6 1 0 -3 b. -7/6 1 -3 c. 7/ 6 1 0 -3 d. 7/6 1 -3

Option C.

Step-by-step explanation:

If a polynomial P(x) is divided by (x-c), then we write leading coefficients inside the synthetic division line and c outside the synthetic division line.

The given division problem is

Here,

The numerator polynomial can be written as

So, the coefficients of numerator are 6, 1, 0, -3.

The synthetic division form for given division problem is

7      |     6       1      0    -3

Therefore, the correct option is C.

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.