9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor...
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![Page 1: 9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.](https://reader036.fdocuments.in/reader036/viewer/2022090102/5a4d1bab7f8b9ab0599cad6b/html5/thumbnails/1.jpg)
9-2 Factoring Using the Distributive Property
Objectives:1) Students will be able to factor polynomials using the
distributive property2) Solve quadratic equations
![Page 2: 9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.](https://reader036.fdocuments.in/reader036/viewer/2022090102/5a4d1bab7f8b9ab0599cad6b/html5/thumbnails/2.jpg)
Grouping• Grouping is a factoring technique used when a
polynomial contains four or more terms.• Steps for factoring by grouping (based on a
polynomial of four terms)– 1) group terms with common factors (separate the
polynomial expression into two separate expressions)
– 2) factor the GCF out of each expression– 3) rewrite the expression using the distributive
property (factor into a binomial multiplied by a binomial)
![Page 3: 9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.](https://reader036.fdocuments.in/reader036/viewer/2022090102/5a4d1bab7f8b9ab0599cad6b/html5/thumbnails/3.jpg)
Directions: Use grouping to factor the expression completely.1) 2)
![Page 4: 9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.](https://reader036.fdocuments.in/reader036/viewer/2022090102/5a4d1bab7f8b9ab0599cad6b/html5/thumbnails/4.jpg)
3) 4)
5) 6)
![Page 5: 9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.](https://reader036.fdocuments.in/reader036/viewer/2022090102/5a4d1bab7f8b9ab0599cad6b/html5/thumbnails/5.jpg)
Try these.7) 8)
9) 10)
![Page 6: 9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.](https://reader036.fdocuments.in/reader036/viewer/2022090102/5a4d1bab7f8b9ab0599cad6b/html5/thumbnails/6.jpg)
Let’s try some more examples.Use grouping to factor each expression.1) 2)
![Page 7: 9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.](https://reader036.fdocuments.in/reader036/viewer/2022090102/5a4d1bab7f8b9ab0599cad6b/html5/thumbnails/7.jpg)
3) 4)
![Page 8: 9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.](https://reader036.fdocuments.in/reader036/viewer/2022090102/5a4d1bab7f8b9ab0599cad6b/html5/thumbnails/8.jpg)
Try these.5) 6)
7) 8)
9)
![Page 9: 9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.](https://reader036.fdocuments.in/reader036/viewer/2022090102/5a4d1bab7f8b9ab0599cad6b/html5/thumbnails/9.jpg)
• Take a look at this equation.
• What value(s) of x would make this equation true? How do you know?
• {-3, 2}
• When an equation is completely factored, set each factor equal to 0 and solve.
![Page 10: 9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.](https://reader036.fdocuments.in/reader036/viewer/2022090102/5a4d1bab7f8b9ab0599cad6b/html5/thumbnails/10.jpg)
Solve the equation.1) 2)
3) 4)
![Page 11: 9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.](https://reader036.fdocuments.in/reader036/viewer/2022090102/5a4d1bab7f8b9ab0599cad6b/html5/thumbnails/11.jpg)
Try these.5)
6)
7)
![Page 12: 9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.](https://reader036.fdocuments.in/reader036/viewer/2022090102/5a4d1bab7f8b9ab0599cad6b/html5/thumbnails/12.jpg)
• When an equation is not completely factored, try factoring it. – Bring all terms to one side of the equation and
have it set equal to 0.– Factor.– Set each factor equal to 0 and solve.
![Page 13: 9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.](https://reader036.fdocuments.in/reader036/viewer/2022090102/5a4d1bab7f8b9ab0599cad6b/html5/thumbnails/13.jpg)
Solve the equation.8) 9)
Try this. 10)
![Page 14: 9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.](https://reader036.fdocuments.in/reader036/viewer/2022090102/5a4d1bab7f8b9ab0599cad6b/html5/thumbnails/14.jpg)
11)
Try this.12)
![Page 15: 9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.](https://reader036.fdocuments.in/reader036/viewer/2022090102/5a4d1bab7f8b9ab0599cad6b/html5/thumbnails/15.jpg)
13)
![Page 16: 9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.](https://reader036.fdocuments.in/reader036/viewer/2022090102/5a4d1bab7f8b9ab0599cad6b/html5/thumbnails/16.jpg)
Try this.14)