Solving Quadratic Equations by Factoring Let’s solve the equation by factoring. To do this, fill in the blanks for each step below. Step 1: Find all factor pairs for 12: , , Step 2: Factor the left side of the equation: (x 3) = 0 – ___)(x ___ Step 3: Using the Zero Product Property, either 4 = 0 or _______ = 0 x – Step 4: If 4 = 0 then If 0 then x _______ = – x = _____ x = _____ Now that you have experienced this process, solve each of the equations below by factoring the left side and using the Zero Product Property. Describe any patterns you observe in solving equations 2(a) through 2(d). Check 2(a) through 2(d) by graphing functions on a calculator. Could you solve by factoring? Why or why not? Solve each of these equations by factoring the left side and using the Zero Product Property.
Solving Quadratic Equations by Factoring Let’s solve the equation by factoring. To do this, fill in the blanks for each step below. Step 1: Find all factor pairs for 12: , , Step 2: Factor the left side of the equation: (x – ___)(x ___ 3) = 0 Step 3: Using the Zero Product Property, either x – 4 = 0 or _______ = 0 Step 4: If x – 4 = 0 then If _______ = 0 then x = _____ x = _____ Now that you have experienced this process, solve each of the equations below by factoring the left side and using the Zero Product Property. Describe any patterns you observe in solving equations 2(a) through 2(d). Check 2(a) through 2(d) by graphing functions on a calculator. Could you solve by factoring? Why or why not? Solve each of these equations by factoring the left side and using the Zero Product Property.