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Unit 3-4: Solving Quadratic Equations by Factoring

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

2 Solve the following quadratic function. ๐‘ค(๐‘ฅ) = ๐‘ฅ 2 โˆ’8๐‘ฅ + 12.

3 Zero Product Property For any real numbers ๐‘Ž and ๐‘, if ๐‘Ž๐‘= 0, then either ๐‘Ž = 0, ๐‘ = 0 or both ๐‘Ž and ๐‘ equal zero. Example (๐‘ฅ+8)(๐‘ฅโˆ’5) = 0, then ๐‘ฅ +8 = 0 or ๐‘ฅ โ€“ 5 = 0

4 Solve each equation Ex. 6 ๐‘ฆ 2 +16๐‘ฆ = 0 ๐‘ฅ 2 +16๐‘ฅ + 64 =0 4 ๐‘ฅ 2 โ€“ 12๐‘ฅ =โˆ’9

5 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.

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


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