Question

How do you factor `x^3+2x^2+x+2` by grouping?

Answer 1

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

Explanation:

`x^3+2x^2+x+2`

`=(x^3+2x^2)+(x+2)`

`=x^2(x+2)+(x+2)`

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

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