Download (9.4 zero product property).

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