Question

How do you factor by grouping: `x^3 +4x^2 +3x+12`?

Answer 1

`(x+4)(x^2+3)`

Explanation:

`=color(red)(x^2)(x+4)color(red)(+3)(x+4)`

`"take out the "color(blue)"common factor "(x+4)`

`=(x+4)(color(red)(x^2+3))`

`x^3+4x^2+3x+12=(x+4)(x^2+3)`