Question

How do you divide `(x^2+x-1)/(2x + 4)` using polynomial long division?

Answer 1

`(x^2+x-1)/(2x+4)=1/2x-1/2+1/(2x+4)`

Explanation:

We divide polynomials just like we are dividing integers

`" " " " " " " "underline(1/2x-1/2 " " " " "larr )`the quotient
`2x+4" "|~x^2+x-1`
`" " " " " " " "underline(x^2+2x" " " " " " ")`
`" " " " " " " " " "-x-1`
`" " " " " " " " " "underline(-x-2 " " " " ")`
`" " " " " " " " " " " " " "+1 larr "remainder"`

Our final answer will be written

`(x^2+x-1)/(2x+4)=1/2x-1/2+1/(2x+4)`

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