Factoring Polynomials

• A number or polynomial that is multiplied by another number or polynomial to form a product.

  factor
• The process of finding the largest monomial that divides all terms in a

  polynomial and rewriting the expression as a product of that monomial and another polynomial.

  Common Monomial Factoring
• Formula for CMF when $a\left(b+c\right)$


  ab + ac
• The process of rewriting an expression in the form of a² - b² as the product of two binomials: (a + b)(a - b).

  Factoring the Difference of Two Squares
• Formula for Factoring DTS when $a^2-b^2$


  (a + b)(a - b)
• The process of rewriting a trinomial that is a perfect square into the square of a binomial.

  Factoring Perfect Square Trinomial
• Formula for factoring PST when $\left(a+b\right)^2$


  $a^2+$$2ab+$$b^2$
• Formula for factoring PST when $\left(a-b\right)^2$


  $a^2-2ab+$$b^2$
• Process of breaking down a polynomial that is either the sum or difference of two perfect cubes into a product of a binomial and a trinomial.

  Factoring Sum and Difference of Two Cubes
• Formula for Factoring sum and difference of two cubes when $a^3+$$b^3$


  $(a+b)(a^2−ab+b^2)$
• Formula for factoring the sum and difference of two cubes when $a^3-b^3$


  $(a-b)(a^2+2ab+b^2)$
• The process of expressing a quadratic expression of the form: $ax^2+$$bx+$$c$


  General Trinomial
• Type your answer

  A) Understanding the Problem

  B) Devising a Plan

  C) Executing a Plan

  D) Reviewing and Checking Answer