Warm Up The area of a rectangle is expressed by the polynomial

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Presentation transcript:

Warm Up The area of a rectangle is expressed by the polynomial What could be the perimeter of this rectangle?

Lesson 8 Solving Equations

Zero Product Principle A product of factors is zero, if and only if, at least one of the factors is zero. Ex.1

Solving Quadratic Equations Many second degree (or quadratic) equations can be solved by factoring. Step 1: Write the equation in the general form: ax2+bx+c=0 Step 2: Factor. Step 3: Apply the zero product principle (2 cases). Step 4: Solve each case. Step 5: Write the solution set.

Solving Quadratic Equations Ex. 2 Solve: Step 1: Write in general form Step 2: Factor.

Solving Quadratic Equations Ex. 2 Solve: Case 1: Case 2:

Solving Quadratic Equations Ex. 3 Solve: Step 1: Write in general form Step 2: Factor.

Solving Quadratic Equations Ex. 3 Solve: Case 1: Case 2:

Solving Quadratic Equations Ex. 4 Solve: Step 1: Write in general form Step 2: Factor. Case 1: Case 2:

Solving Quadratic Equations Ex. 5 Solve:

Solving Quadratic Equations Ex. 6 Solve:

Homework Workbook P. 23 #22-25 P. 30 #2 & 3 P. 32 #6