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9.4 factoring GCF and zero product property.notebook 9.1 students will understand and apply the zero product property. Students will be able to factor out the GCF to get a problem ready for the zero product property. If we have a linear equation we already know how to solve (find the missing value). January 30, 2012 Zero product property: If ab = 0 then a = 0 or b = 0 Why? If 5x = 0 Example of a linear equation: 5x 3(x + 4) = 8x 12 The zero product property will help us solve quadratic equations (equations that have power of 2 on the variables). Example: (x + 3)(x 7) = 0 2y(5y 8) = 0 When we are done with this chapter you will know how to solve equations like: x2 + 3x +2 = 0 and how to use the veritcal motion formula: h = 16t2 + vt + s Apr 139:37 AM Apr 139:46 AM If the quadratic equation is not already written as a product then we need to factor first. Solve each equation: Factoring is rewriting the problem as a product. there are several types of factoring. 2) 5x(2x 3) = 0 1) (3x 12)(x + ¾) = 0 Type I: Factoring out the greatest common factor (GCF) examples: 6x2 3x = 0 Apr 139:49 AM Be sure the equation is equal to zero before factoring! Examples: 2 24h = 18h 15y2 + 3y = 0 Apr 139:53 AM Assignment: Page 578 #8 14, 3135 2 12x = 8x Apr 139:57 AM Apr 1310:02 AM 1 9.4 factoring GCF and zero product property.notebook Jan 309:05 AM January 30, 2012 Jan 309:06 AM 2