is the “undoing” of multiplication, putting an expression
into terms which are multiplied. For example, we know that 6x(x3
– 7) = 6x4
- The expression 6x4 – 42x factors into two terms which are multiplied: 6x•(x3 – 7)
- The difference of two squares such as x2- 49 factors into (x+7)•(x-7)
- Sometimes trinomials factor very nicely:
Sometimes they do not. The trinomial
+ x + 1 defies a simple factoring.