Factoring Special Cases. Factoring by Grouping. What you’ll learn To factor perfect square trinomials and differences squares. To factor higher degree polynomials by grouping. Vocabulary Perfect square trinomial. Difference of two squares. Factoring by grouping.

Note: Any trinomial of the form or is a perfect square trinomial because it is the result of squaring a binomial. Here is how to recognize a perfect square trinomial: *the first and last term are perfect squares *the middle term is twice the product of one factor from the first term and one factor of the last term.

Problem 1: Factoring a perfect square trinomial. What is the factored form of? Write the last term as a square Does the middle term equal -2ab? -12x=-2(x)(6) Write as the square of a binomial. Your turn What is the factored form of each expression? Answers:

Take a note: Factoring a Difference of Two Squares. Problem 2: What is the factored form of?

Take a note: Factoring by grouping is when you group the terms in pairs, factored the GCF from each pair, and looked for a common binomial factor. Problem 3: What is the factored form of?

Take a note: When factoring polynomials 1. Factor out the greatest common factor.GCF 2.If the polynomial has two terms or three terms, look for a difference of two squares, a perfect square trinomial, or a pair of binomials factors. 3.If the polynomial has four or more terms, group terms and factor to find common binomial factors. 4. As a final check, make sure there are no common factors other than 1.

Class work odd Homework even TB pgs exercises 9-41 pgs exercises 9-40