Question

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

Answer 1

Answer:

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

-4  |  3     -10       7

Step-by-step explanation:

Take the coefficients of the numerator inside the division bar

Take the opposite of the number in the denominator

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

-4  |  3     -10       7

Answer 2

Answer:

The correct option is B.

Step-by-step explanation:

The given expression is

$\frac{3x^2-10x+7}{x+4}$

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.

$-4\overline{|3\quad -10\quad 7}$

Therefore the correct option is B.