Question

How do you factor #F(x) = x^3 + x^2 + 4x + 4?

Answer 1

`x^3 + x^2 + 4x + 4`

We can make groups of two to factorise this expression:
`(x^3+ x^2) + (4x +4)`

`x^2` is common to both the terms in the first group, and `4` is common to both the terms in the second group

We can write the expression as :
`x^2(x+1) +4(x+1)`
`=color(green)((x^2 +4 )(x+1)`