Question

How do you divide `(-3x^3 - 12x^2-6x+5 )/((5x+2)`?

Answer 1

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

`-3/5x^2-54/25x-42/125+(709/125)/(5x+2)`

Explanation:

`" " " " " " " underline(-3/5x^2-54/25x-42/125)`
`5x+2|~-3x^3-12x^2-6x+5`
`" " " " " " "underline(-3x^3-6/5x^2)`
`" " " " " " " " " " "-54/5x^2-6x+5`
`" " " " " " " " " " "underline(-54/5x^2-108/25x)`
`" " " " " " " " " " " " " " " "-42/25x+5`
`" " " " " " " " " " " " " " " "underline(-42/25x-84/125)`
`" " " " " " " " " " " " " " " " " " " " " " " "709/125`

God bless....I hope the explanation is useful