Factoring Example 1: What is the Greatest Common Factor (GCF) of the two terms below? Example 2: Example 3:

Factoring Practice 1: What is the Greatest Common Factor (GCF) of the two terms below? Practice 2: Practice 3:

Factoring Example 4: What polynomial is represented below by the Algebra tiles below? What two binomials would you multiply to get this product? To get this answer, first use the tiles to complete the table. How would you represent these tiles algebraically? 2x - 1

Factoring Practice 4: What polynomial is represented below by the Algebra tiles below? What two binomials would you multiply to get this product? 2x - 3

Factoring In the last two problems we factored using tiles. Now lets factor algebraically. Think of factoring as unfoiling. Example 5: First let’s review where the terms came from when we multiplied. FOIL Multiply the leading coefficient by the constant. (Don’t worry about signs) Steps to Factor (unFOIL) List the factors of this product. Look at the sign before the constant. This tells us if we need to add or subtract the factors. In this problem we have a + so we are going to find the sum of our factors. Find which two factors add or subtract to give you the coefficient of the middle term. These are our outside and inside products. Find the GCF of the first term of the trinomial and the outside product. This is the first term of the first binomial.

Factoring In the last two problems we factored using tiles. Now lets factor algebraically. Think of factoring as unfoiling. Example 5: FOIL Steps to Factor (unFOIL) Find the first term of the second binomial by the remembering the first terms of the binomials multiply to get the first term of the trinomial. Find the second term of the first binomial by knowing the what the product of the inner terms is. Find the second term of the second binomial by knowing the what the product of the outer terms is. Look at the sign of the middle term to determine the signs of the inner and outer products. Use the signs of the inner and outer products to find the signs of the binomials.

Factoring Example 6: Steps to Factor (unFOIL) Multiply the leading coefficient by the constant. List the factors. Find the sums or differences. Determine which two factors add or subtract to equal the coefficient of the middle term. These are your outer and inner products. Find the GCF of the first term of the trinomial and the outside product. This is the first term of the first binomial. Find the first term of the second binomial using the product of the first terms. Find the other terms of the binomial using the inner and outer products. Look at the sign of the middle term to determine the signs of the inner and outer products. Use the signs of the inner and outer products to find the signs of the binomials. Factor.

Factoring Practice 5: Factor. Practice 6:

Factoring Example 7: Factor. Example 8:

Factoring Practice 7: Factor. Practice 8:

Factoring Practice 9: Factor. Practice 10: