1. 9.4 Solve Polynomial Equations in Factored Form
Students will
*Use the Zero Product Property to solve polynomial equations
*Identify greatest common monomial factors
Use the Vertical Motion Model

2. Zero-Product Property
Let a and b be real numbers.
If ab = 0, then a = 0 and b = 0.
Set each factor equal to 0 and solve.
Solve: (x – 3)(x + 5) = 0
x – 3 = 0 and x + 5 = 0
x = 3 and x = -5

3. solve
(3x – 4)(x + 8) = 0
(2x + 1)(5x – 4) = 0

4. Greatest Common Factor
“UN”Distribute – look for what is common
6x + 8y
4 𝒙 𝟐 −𝟖𝒙
9 𝒂 𝟔 +𝟑 𝒂 𝟒 −𝟏𝟐 𝒂 𝟐

5. Factor and solve (Remember to set = 0 first)
6 𝑥 x = 𝑥 2 = 18x

6. Vertical motion model finds the height of a projectile
h is the height (in feet)
t is the time (in seconds)
𝑣 0 is the initial velocity (feet per second)
ℎ 0 is the initial height

7. h = - 16 𝑡 2 + v 0 t + ℎ 0 Write an equation for the situation below.
A dolphin jumped out of the water with an initial velocity of 32 feet per second.
After how many seconds did the dolphin reenter the water?

8. A dog jumps in the air with an initial velocity of 18 feet per second to catch a flying disc. How long does the dog remain in the air?

9. Computer practice

10. homework
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