Use synthetic division to find the quotient and remainder: (MULTIPLE CHOICE)

Question

 

 

a. The quotient is x²+3x and the remainder is 0.
b. The quotient is x²-√3x+3 and the remainder is 0.
c. The quotient is x²+3 and the remainder is 0.
d. The quotient is x²+3x-3√3 the remainder is 0.

Answer 1

Start with Synthetic Division:

 

√3 |    1    -√3    3    -3√3

                    √3    0    3√3

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

            1     0     3     0

 

The bottom row tells us that the quotient is 1x² + 0x + 3 = x² + 3 and the remainder is 0.