Section 5.8 Solving Equations by Factoring

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Presentation transcript:

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

Who knows the story of King Midas?

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

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

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

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

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?