Factoring polynomials involves breaking a polynomial into simpler factors that multiply to give the original polynomial. Start by finding a common factor, then identify the structure of the polynomial (e.g., trinomial, difference of squares). Use methods like grouping or recognizing special patterns to simplify.
For example:
A common factor can be factored out of all terms.
Trinomials are split into two binomials based on their structure.
A difference of squares is rewritten as two binomials.
Factoring simplifies expressions and helps in solving equations.