Solving Quadratic Equations By Factoring Worksheet With Answers - Algebra 2, Glencoe Mcgraw-Hill Page 2

ADVERTISEMENT

NAME
DATE
PERIOD
4-3
Study Guide and Intervention
(continued)
Solving Quadratic Equations by Factoring
Solve Equations by Factoring
When you use factoring to solve a quadratic equation,
you use the following property.
Zero Product Property
For any real numbers a and b, if ab = 0, then either a = 0 or b =0, or both a and b = 0.
Example
Solve each equation by factoring.
a. 3x
2
= 15x
b. 4x
2
- 5x = 21
4x
2
- 5x = 21
Original equation
3x
2
= 15x
Original equation
4x
2
- 5x - 21 = 0
Subtract 21 from both sides.
3x
2
- 15x = 0
Subtract 15x from both sides.
(4x + 7)(x - 3) = 0
Factor the trinomial.
3x(x - 5) = 0
Factor the binomial.
4x + 7 = 0
or x - 3 = 0
Zero Product Property
3x = 0 or x - 5 = 0
Zero Product Property
7
x = 0 or
x = 5
x = -
−
or
x = 3
Solve each equation.
Solve each equation.
4
The solution set is {0, 5}.
{
}
7
The solution set is
-
−
, 3
.
4
Exercises
Solve each equation by factoring.
1. 6x
2
- 2x = 0
2. x
2
= 7x
3. 20x
2
= -25x
5
1
0,
−
{0, 7}
0, -
−
3
4
4. 6x
2
= 7x
5. 6x
2
- 27x = 0
6. 12x
2
- 8x = 0
7
9
2
0,
−
0,
−
0,
−
6
2
3
2
2
2
7. x
+ x - 30 = 0
8. 2x
- x - 3 = 0
9. x
+ 14x + 33 = 0
3
{5, -6}
, -1
{-11, -3}
−
2
10. 4x
2
+ 27x - 7 = 0
11. 3x
2
+ 29x - 10 = 0
12. 6x
2
- 5x - 4 = 0
1
1
4
1
, -7
-10,
−
-
−
,
−
−
3
2
3
4
2
- 8x + 1 = 0
14. 5x
2
+ 28x - 12 = 0
15. 2x
2
- 250x + 5000 = 0
13. 12x
1
1
2
,
−
, -6
{100, 25}
−
−
2
5
6
2
2
2
16. 2x
- 11x - 40 = 0
17. 2x
+ 21x - 11 = 0
18. 3x
+ 2x - 21 = 0
5
1
7
8, -
−
-11,
−
, -3
−
2
2
3
19. 8x
2
- 14x + 3 = 0
20. 6x
2
+ 11x - 2 = 0
21. 5x
2
+ 17x - 12 = 0
1
1
3
3
,
−
-2,
−
, -4
−
−
4
6
2
5
22. 12x
2
+ 25x + 12 = 0
23. 12x
2
+ 18x + 6 = 0
24. 7x
2
- 36x + 5 = 0
3
4
1
1
-
−
, -
−
-
−
, -1
, 5
−
3
4
2
7
18
Chapter 4
Glencoe Algebra 2

ADVERTISEMENT

00 votes

Related Articles

Top 20 Happy Easter Cards And Gift Tags To Download For Free
Top Ten Easter Arts And Crafts Activities For Your Kids
Free Easter Coloring Pages And Easter Printables For Your Kids

Related forms

Solving Quadratic Equations By Factoring Worksheet With Answer Key - Tallahassee Community College Solving Quadratic Equations By Factoring Worksheet With Answer Key - Tallahassee Community College Education
Quadratic Equations By Factoring Worksheet With Answer Key Quadratic Equations By Factoring Worksheet With Answer Key Education
Chapter 6 Quadratic Equations By Factoring Worksheet With Answer Key - Mcgraw-hill Chapter 6 Quadratic Equations By Factoring Worksheet With Answer Key - Mcgraw-hill Education
Chapter 4 Notes Packet On Quadratic Functions And Factoring Worksheet With Answers - Algebra 2 Chapter 4 Notes Packet On Quadratic Functions And Factoring Worksheet With Answers - Algebra 2 Education
Solving Quadratic Equations By Factoring Worksheet Solving Quadratic Equations By Factoring Worksheet Education
Unit 2 Worksheet 9 Solving Polynomial Equations By Factoring Worksheet Unit 2 Worksheet 9 Solving Polynomial Equations By Factoring Worksheet Education
Vertex Form Of A Quadratic Expression Worksheet With Answers - Algebra 2 Vertex Form Of A Quadratic Expression Worksheet With Answers - Algebra 2 Education
Solving Quadratic Equations By Using The Quadratic Formula Worksheet With Answers Solving Quadratic Equations By Using The Quadratic Formula Worksheet With Answers Education
Solving Quadratic Equations By The Formula In Graphic Form Worksheet With Answers By Nghi H Nguyen Solving Quadratic Equations By The Formula In Graphic Form Worksheet With Answers By Nghi H Nguyen Education
Solve Quadratic Equations By Completing The Square Method Worksheet With Answers Solve Quadratic Equations By Completing The Square Method Worksheet With Answers Education

Related Categories

Parent category: Education
Download
Go
Page of 2