Wednesday, March 25, 2020
o Multiplication
o ZPP
o Solving equations
Use the zero product property to solve the equations below.
a. (𝑥 − 11)(𝑥 + 7) = 0
b. (2𝑥 − 7)(𝑦 − 12) = 0
c. 5(𝑧 + 36) = 0
Can you use the zero product property (ZPP) to solve (𝑥 + 7)(𝑥 + 11) =
77?
Can you use the ZPP to solve the equation 2𝑥 2 + 5𝑥 − 3 = 0?
Use the fact that 2𝑥 2 + 5𝑥 − 3 = (2𝑥 − 1)(𝑥 + 3) to solve the equation
2𝑥 2 + 5𝑥 − 3 = 0.
To use ZPP:
Use the ZPP to solve 5𝑥(𝑥 − 4)(5𝑥 + 6) = 0
Solve each equation for x.
a. 27𝑥 + 13 = 0
b. 𝑥 + 𝑏 = 0
c. 𝑐𝑥 − 𝑑 = 0
The equation 6𝑥 2 + 11𝑥 − 35 = 0 has two solutions.
a. Make a table for 𝑓(𝑥) = 6𝑥 2 + 11𝑥 − 35. Use integer x-values
from -5 to 5. Use this table to estimate the two answers to the
equation.
b. Use an expansion box to show that 6𝑥 2 + 11𝑥 − 35 in factored
form is (2𝑥 + 7)(3𝑥 − 5).
c. What are the two solutions to 6𝑥 2 + 11𝑥 − 35 = 0?