# How do you factor 3x^3 + 3x² + x + 1?

Jan 30, 2016

$\left(x + 1\right) \left(3 {x}^{2} + 1\right)$

#### Explanation:

Factor in 'groups'

 [ 3x^3 + 3x^2 ] + [ x + 1 ]

now factor each 'pair'

$3 {x}^{2} \left(x + 1\right) + 1 \left(x + 1\right)$

common factor of (x + 1 )

hence (x + 1 )( 3x^2 + 1 ) #