Question

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

Answer 1

=`(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)`