Algebra G – Notes
Unit: Polynomials
THE ZERO-PRODUCT PROPERTY
The Zero-Product Property: If a ·b = 0, then _______________________.
To use the ZPP:
1.
2.
PART I: How can we solve for x in the following equations in factored form?
a)
(x – 3)(x + 2) = 0
b)
(x + 1)(x + 3) = 0
These x values are called _______________________________________________________.
Let’s Practice!
1. (2x + 3)(x – 4) = 0
2. 6x(x – 4) = 0
3. (x – 2)(x – 2) = 0
PART II: What if it is not factored?
STEPS:
1. Factor out a GCF
2. Factor Completely
3. Solve using ZPP
4. 3x2 + 12x = 0
5. 3x2+ 24x + 36 = 0
6. 4x2- 14x – 6 = 0
Algebra G – Notes
Partner Practice
Factor out a GCF and then solve using the ZPP!
1. 2 x 2  8 x  0
2. 6n 2  15n  0
5.
5x2  2 x  7  0
6.
5 x 2  8 x  21
3s 2  39s
4.
4 x 2  16 x
7. 5 x 2  60  20 x
8.
7 x 2  21x  0
3.