Question

Which of the following shows the division problem below in synthetic division form?

Answer 1

The correct option is B.

Explanation:

The given expression is

`(3x^2-10x+7)/(x+4)`

Here the numerator is

`3x^2-10x+7`

So, the coefficients of numerator are 3, -10 and 7.

If the denominator of an expression is (x+c), then in synthetic division form -c is written on outside and coefficients of numerator are written under the sign of division(descending order of degree of terms).

The denominator of the expression is (x+4), so -4 is written outside the sign of division.

`-4\overline3\quad -10\quad 7`

Therefore the correct option is B.

Answer 2

-------------------------------------

-4 | 3 -10 7

Explanation:

Take the coefficients of the numerator inside the division bar

Take the opposite of the number in the denominator

-------------------------------------

-4 | 3 -10 7