Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?...
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Transcript of Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?...
![Page 1: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/1.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factoring with Trinomials, Difference of Squares and Greatest Common Factors
(Section 4-3 and 4-4 – Alg 2)
![Page 2: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/2.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factoring Trinomials with no leading coefficient
![Page 3: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/3.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factor the expression.
Example 1
![Page 4: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/4.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factor the expression.
Example 2
![Page 5: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/5.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factor the expression.
Example 3
![Page 6: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/6.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factoring a Trinomial with a leading coefficient
ax2 + bx + c
![Page 7: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/7.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factor the expression.
Example 4
![Page 8: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/8.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factor the expression.
Example 5
![Page 9: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/9.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factor the expression.
Example 6
![Page 10: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/10.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factor the expression.
Example 7
![Page 11: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/11.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Difference of Squares
![Page 12: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/12.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factor the expression.
Example 8
![Page 13: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/13.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factor the expression.
Example 9
![Page 14: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/14.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factor the expression.
Example 10
![Page 15: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/15.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factor the expression.
Example 11
![Page 16: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/16.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factor the expression.
Example 12 x2 + 16
![Page 17: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/17.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
ALWAYS FACTOR THE GREATEST COMMON FACTOR FIRST!
![Page 18: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/18.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factor the expression.
Example 13
![Page 19: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/19.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factor the expression.
Example 14
![Page 20: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/20.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factor the expression.
Example 15
![Page 21: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/21.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Factor the expression.
Example 16
![Page 22: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/22.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Solving Quadratic Equations
![Page 23: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/23.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
![Page 24: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/24.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Solve the equation.
Example 17
![Page 25: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/25.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Solve the equation.
Example 18
![Page 26: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/26.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Solve the equation.
Example 19
![Page 27: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/27.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
Solve the equation.
Example 20 x2 – 3x = -2
![Page 28: Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.](https://reader034.fdocuments.in/reader034/viewer/2022051820/56649ec05503460f94bcae84/html5/thumbnails/28.jpg)
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation?Students will write a summary that describes factoring an expression and solving a quadratic equation.
HW #2 Practice 4-3 (1-___odd) and Practice 4-4 (1-___odd)