How do you factor by grouping x^3 + 3x^2 + 6x + 18?

1 Answer
Mar 3, 2018

color(red)(= (x^2+6)(x+3))

Explanation:

[Grouping the first 2 terms together and the 2md 2 terms together.]

x^3+3x^2+6x+18

= (x^3+3x^2)+(6x+18) [Common factor]

= x^2(x+3)+6(x+3) {Taking the common bracket]

color(red)(= (x^2+6)(x+3))

~Hope this helps! :)