Question

(6x² +16x+12)÷(x+2)

Answer 1

`(6x^2+16x+12)/(x+2)=6x+4\,\,\text{R}4=6x+4+(4)/(x+2)`

Explanation:

Use synthetic division

-2 | 6 16 12

_____ -12_-8__

6 4 | 4

Therefore,
`\displaystyle (6x^2+16x+12)/(x+2)=6x+4\,\,\text{R}4=6x+4+(4)/(x+2)`