How do you factor #x^3 - 2x^2 + 3x -6 = 0# by grouping?

1 Answer
Aug 6, 2016

Answer:

=#(x-2)(x^2 +3)#

Explanation:

There are 4 terms, but there is no common factor in all of the terms.
Group them into pairs to create a common factor.
There must be a + sign between the pairs. This can be changed later if necessary.

#(x^3 - 2x^2) + (3x -6) = 0" look for common factors"#

=#x^2(x -2) +3(x-2) " there is a common bracket"#

=#(x-2)(x^2 +3)#