What is the quotient of the synthetic division problem below written in polynomial form?

-2x^2 + 21x + 41  with a remainder of 108  (Answer A)

Step-by-step explanation:

Let's perform the indicated synthetic division:

3  )   -2   15   -22   -15

                6    63   123

        -2    21    41     108

We take the first three coefficients of these results and use them to write a polynomial which represents the quotient:

-2x^2 + 21x + 41  with a remainder of 108  (Answer A)

ANSWER

D.

EXPLANATION

We perform the synthetic division to get:

-2 15 -22 -15

3| -6 27 15

-2 9 5 0

From the synthetic division problem;

The coefficient of the quotient are the first three numbers.

-2, 9, 5

The last number 0 is the remainder

Since the coefficient of the quotient are three, it means the polynomial having 2 as the highest degree.

Therefore the quotient is:

pi x^2

step-by-step explanation:

pi times x squared