Question

What is the missing number in the synthetic division problem below?

Answer 1

Given:

A synthetic division problem.

To find:

The missing number it in the given synthetic division problem.

Solution:

The given synthetic division problem is:

$3|\overline{3\quad -2\quad 2\quad 4}$

           $\quad 6\quad 8\quad 20$

     $\overline{3\quad 4\quad ?\quad 24}$

In synthetic division, we need to add first and second row to get the bottom row.

$3+0=3$

$-2+6=4$

$4+20=24$

Similarly,

$2+8=10$

Therefore, the missing value in the given synthetic problem is 10. Hence, the correct option is C.