Question

Identify the remainder when (x3 − 6x2 − 42x + 79) is divided by (x + 5).

A. 7 B. 11 C. 13 D. 14

Answer 1

Use synthetic division. -5 in the corner, and then the terms 1 -6 -42 and 79. 

Answer 2

Answer: D. 14

Explanation:

Use synthetic division.

`x^2`
`-11x`
`+13`

`x+5√(x^3-6x^2-42x+79)`

`-x^2-5x^2`

`-11x^2-42x`

`+11x^2+55x`

`13x+79`

`-13x-65`

`14` = the remainder