Question

How do you factor the expression `d^3 + d^2 + 3d + 3`?

Answer 1

`(d+1)(d^2+3)`

Explanation:

Factor by grouping.

`color(blue)(d^3+d^2)+color(red)(3d+3)`

`color(blue)(d^2(d+1))+color(red)(3(d+1))`

Factor a `(d+1)` term out.

`(d+1)(d^2+3)`