Factoring Special Cases. Factoring by Grouping. n r a e l u’ll o y t a Wh To factor perfect square trinomials and differences squares. To factor higher degree polynomials by grouping. ry a l u b a c o V 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 -2 ab? -12 x=-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 514 -515 exercises 9 -41 pgs 519 -520 exercises 9 -40