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Zeros of a Quadratic Function




 

Videos and lessons to help High School students learn to choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

A. Factor a quadratic expression to reveal the zeros of the function it defines.

B. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.


Suggested Learning Targets


  • Write expressions in equivalent forms by factoring to find the zeros of a quadratic function and explain the meaning of the zeros.
  • Given a quadratic function explain the meaning of the zeros of the function. That is if f(x) = (x – c) (x – a) then f(a) = 0 and f(c) = 0.
  • Given a quadratic expression, explain the meaning of the zeros graphically. That is for an expression (x – a) (x – c), a and c correspond to the x-intercepts (if a and c are real).

Common Core: HSA-SSE.B.3a

Related Topics:
Common Core (Algebra)

Common Core for Mathematics

Factor a quadratic expression to reveal the zeros of the function--Lesson 1 of 6 (CCSS: A-SSE.3a)
In this lesson you will learn to reveal the zeros of a quadratic function in standard form by factoring.


Factor a quadratic expression to reveal the zeros of the function--Lesson 2 of 6 (CCSS: A-SSE.3a)
In this lesson you will learn to reveal the zeros of a quadratic function in standard form by factoring.





Factor a quadratic expression to reveal the zeros of the function--Lesson 3 of 6 (CCSS: A-SSE.3a)
In this lesson you will learn to reveal the zeros of a quadratic function by factoring a perfect square trinomial.


Factor a quadratic expression to reveal the zeros of the function--Lesson 4 of 6 (CCSS: A-SSE.3a)
In this lesson you will learn to reveal the zeros of a quadratic function by factoring a difference of perfect squares.



 

Factor a quadratic expression to reveal the zeros of the function--Lesson 5 of 6 (CCSS: A-SSE.3a)
In this lesson you will learn to reveal the zeros of a quadratic function in standard form by factoring.


Factor a quadratic expression to reveal the zeros of the function--Lesson 6 of 6 (CCSS: A-SSE.3a)
In this lesson you will learn to reveal the zeros of a quadratic function in standard form by factoring.




Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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