# How do you factor #2x^3 - 4x^2 + x - 2#?

##### 1 Answer

Jan 23, 2016

# (x - 2)(2x^2 + 1 ) #

#### Explanation:

Factorise by 'grouping'

ie [

#2x^3 - 4x^2 ] + [ x - 2 ]#

# = 2x^2(x - 2 ) +1 (x - 2 ) # There is now a common factor of ( x - 2 )

= (x - 2 )(2

#x^2 + 1 )#