Question

Could you show me how to divide x^3 + 2x^2 + x + 2 by x^2 + 1

Answer 1

`x+2`

Explanation:

For this division we can first use factoring of the numerator, then eliminate the common factors.

`(x^(3) +2x^(2) +x+2)/(x^(2)+1 )`

Factoring the numerator by the term grouping method

`(x^(2) (x+2)+(x+2) )/(x^(2) +1)`

`((x^(2) +1)(x+2))/(x^(2) +1)`

removed terms

`(x+2)`