Factoring Polynomials Summary

Overview of Factoring Polynomials

• Factoring involves breaking down polynomials into products of smaller factors (unmultiplying).

Distributive Principle

• In earlier chapters, the distributive principle was used to multiply expressions, such as:
  • Example: $(3xy)(x + 7y - 5)$ gives output as $3x^2y + 21xy^2 - 15xy$.

Multiplication of Binomials

• Pairs of binomials have been multiplied:
  • Example: $(x + 3)(x + 4)$ results in the trinomial $x^2 + 7x + 12$.

Focus of Current Unit

• This unit focuses on factoring instead of multiplying.