Unit 3-4: Solving Quadratic Equations by Factoring

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Presentation transcript:

Unit 3-4: Solving Quadratic Equations by Factoring Learning Target: I will solve quadratic equations by factoring.

Solve the following quadratic function. 𝑤(𝑥) = 𝑥 2 −8𝑥 + 12.

Zero Product Property For any real numbers 𝑎 and 𝑏, if 𝑎𝑏= 0, then either 𝑎 = 0, 𝑏 = 0 or both 𝑎 and 𝑏 equal zero. Example (𝑥+8)(𝑥−5) = 0, then 𝑥 +8 = 0 or 𝑥 – 5 = 0

Solve each equation Ex. 6 𝑦 2 +16𝑦 = 0 𝑥 2 +16𝑥 + 64 =0 4 𝑥 2 – 12𝑥 =−9

If given a quadratic equation, we can solve for its roots/zeros If given a quadratic equation, we can solve for its roots/zeros. What if I wanted to generate a quadratic equation, what do I need to know? Pick any x-intercept(s) and work backwards.

Pg. 242 #1-3 all #35-43 all