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# Solving Quadratic Equations by Factoring - PowerPoint PPT Presentation

Solving Quadratic Equations by Factoring. Solving Quadratic Equations by Factoring. The quadratic equation is written in the form ax 2 + bx + c = 0 To solve quadratic equations by factoring we use the Zero Product Principle If A  B = 0 then A = 0 or B = 0

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### Solving Quadratic Equations by Factoring

• The quadratic equation is written in the form ax2 + bx + c = 0
• To solve quadratic equations by factoring we use the Zero Product Principle

If AB = 0 then A = 0 or B = 0

 Where A and B are two quantities

Example: Solve each of the following

• x2 – 3x – 40 = 0

(x – 8)(x + 5) = 0

x – 8 = 0 or x + 5 = 0  Zero Product Principle

x = 8 or x = -5

The solution set s.s. = {8, -5}

b) 8x2 = 15 – 14x

8x2 + 14x – 15 = 0

(4x – 3)(2x + 5) = 0

4x – 3 = 0 or 2x + 5 = 0