Lesson 9.1 How do you add and subtract polynomials? To add, add like terms. To subtract, add its opposite. Remember like terms must also have the same exponent.

Lesson 9.2 How do you multiply polynomials? You multiply each term of the first polynomial by each term of the second polynomial. Make a table Multiply vertically Multiply horizontally (distributive property)

Lesson 9.3 How do you use special product patterns to multiply binomials? To find the square of a binomial pattern, 𝑎+𝑏 2 or 𝑎−𝑏 2 , square a, add (or subtract) twice the product of ab, and add the square of b. The find the sum and difference pattern, 𝑎+𝑏 𝑎−𝑏 , square a and subtract the square of b.

Lesson 9.4 How do you solve polynomial equations in factored form? Set the equation equal to 0. Set each factor equal to 0. Solve each factor.

Lesson 9.5 How do you factor trinomials of the form 𝑥 2 +𝑏𝑥+𝑐 (coefficient of 1)? Find factors of the form 𝑥+𝑝 𝑥+𝑞 where 𝑝+𝑞=𝑏 and 𝑝𝑞=𝑐 You are looking for factors of c that add/subtract to get b.

Lesson 9.6 How do you factor trinomials of the form 𝑎 𝑥 2 +𝑏𝑥+𝑐 (coefficient not 1)? You are looking for factors of a and c that add/subtract to get b.

Lesson 9.7 How do you factor special products? Recognize the pattern you have. Use the formula. Difference of Two Squares Pattern 𝑎 2 − 𝑏 2 = 𝑎+𝑏 𝑎−𝑏 Perfect Square Trinomial Pattern 𝑎 2 +2𝑎𝑏+ 𝑏 2 = 𝑎+𝑏 2 𝑎 2 −2𝑎𝑏+ 𝑏 2 = 𝑎−𝑏 2

Lesson 9.8 How do you factor polynomials completely? Group the terms. Factor each group. Find the common factor of the two new terms.