Question

Divide using synthetic division, and write a summary statement in fraction form. three x to the fifth plus four x to the fourth plus two x squared minus one divided by quantity x plus two.

Answer 1

We want to use synthetic division to evaluate

`(3x^(5)+4x^(4)+2x^(2)-1)/(x+2)`

Note that all coefficients of the 5-th order polynomial are required for synthetic division.

-2 | 3 4 0 2 0 -1
-6 4 -8 12 -24
----------------------------
3 -2 4 -6 12 -25

Answer:

`(3x^(5)+4x^(4)+2x^(2)-1)/(x+2) =3x^(4)-2x^(3)+4x^(2)-6x+12- (25)/(x+2)`