X-box Factoring - PowerPoint PPT Presentation

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X-box Factoring

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... Basic x-solve problems General form of a quadratic equation Dividing a ... Formalize the steps as a class. Examples ... Diamond and Box Factoring ... – PowerPoint PPT presentation

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Title: X-box Factoring


1
X-box Factoring
2
X- Box
Product
3
-9
Sum
3
X-box Factoring
  • This is a guaranteed method for factoring
    quadratic equationsno guessing necessary!
  • We will learn how to factor quadratic equations
    using the x-box method
  • Background knowledge needed
  • Basic x-solve problems
  • General form of a quadratic equation
  • Dividing a polynomial by a monomial using the box
    method

4
Factor the x-box way
  • Example Factor 3x2 -13x -10

5
Examples
  • Factor using the x-box method.
  • 1. x2 4x 12
  • a) b)


6
Examples continued
  • 2. x2 - 9x 20
  • a) b)


7
Think-Pair-Share
  • Based on the problems weve done, list the steps
    in the diamond/box factoring method so that
    someone else can do a problem using only your
    steps.
  • 2. Trade papers with your partner and use their
    steps to factor the following problem x2 4x
    -32.

8
Trying out the Steps
  1. If you cannot complete the problem using only the
    steps written, put an arrow on the step where you
    stopped. Give your partners paper back to him.
  2. Modify the steps you wrote to correct any
    incomplete or incorrect steps. Finish the
    problem based on your new steps and give the
    steps back to your partner.
  3. Try using the steps again to factor
    4x2 4x -3.

9
Stepping Up
  1. Edit your steps and factor
    3x2 11x 20.
  2. Formalize the steps as a class.

10
Examples continued
  • 3. 2x2 - 5x - 7
  • a) b)

11
Examples continued
  • 3. 15x2 7x - 2
  • a) b)

12
Independent Practice
  • Do the worksheets for Homework using the x-box
    method. Show all your work to receive credit
    dont forget to check by multiplying!
  • F\2nd semester\Algebra 1\chapter 9\13.11.pdf
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