1. Section 5.8 Solving Equations by Factoring
Integrated Math
Section 5.8
Solving Equations by Factoring

2. Who knows the story of King Midas?

3. Zero is the King Midas of Math
Everything that gets multiplied by zero equals zero.
Without a calculator, multiply
25×32×15×0×86×67×78×44

4. A product of zero means one of the factors MUST equal zero

5. Solving an equation with “0”
Change the equation so the one side = 0
Factor the other side
Set each factor equal to zero
Write the solution set

6. Solve for x
#1 𝑥 2 −5𝑥=0 #2 𝑥 2 −2𝑥=8 #3 3𝑥+8 2𝑥−1 =0 #4 6𝑝 2 +𝑝=1 #5 𝑥 3 −4𝑥=0 #6 𝑥 3 − 2𝑥 2 −𝑥+2=0

7. Application
A box designer is making a gift box for a company. The base of the box must be 15 sq. in. What would be the possible dimensions of the base if the length must be 2 inches longer than the width?