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Algebra 1

Relate Zeros to the Factored Form of Quadratic Equations

Algebra 1Relate Zeros to the Factored Form of Quadratic Equations
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Relate Zeros to the Factored Form of Quadratic Equations

Relate Zeros to the Factored Form of Quadratic Equations

In this unit, you learned about the relationship between the factored form of a quadratic equation, its zeros, and its graph.

  1. What is the factored form of the quadratic equation represented by the graph? Explain how you found your answer.
  2. How many times does the graph of the equation ( 𝑥 − 5 ) ( 𝑥 − 5 ) = 0 ( 𝑥 − 5 ) ( 𝑥 − 5 ) = 0 intersect with the x x -axis? Be prepared to show your reasoning.
  3. The equation x 2 − 8 x + 20 = 0 x 2 − 8 x + 20 = 0 is shown in the graph. How many solutions does the equation have? Be prepared to show your reasoning.
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