Math 2
Lesson 3-5 Solving Quadratic Equations by Factoring Station 1
Name_________________________
Learning Goals:


I can solve quadratic equations with real numbers as coefficients by inspection (graphing), by finding square
roots, and by using the zero-product property.
I can factor a quadratic equation (ax2+bx+c = 0) to find the zeroes of the function it represents.
1. Look at the example below and use the given method to solve the following equations for x.
a.
b.
c.
d.
e.
f.
g.
x 2  4  3x 2  8
Math 2
Lesson 3-5 Solving Quadratic Equations by Factoring Station 2
Name_________________________
Learning Goals:


1.
I can solve quadratic equations with real numbers as coefficients by inspection (graphing), by finding square
roots, and by using the zero-product property.
I can factor a quadratic equation (ax2+bx+c = 0) to find the zeroes of the function it represents.
Use the Zero Product Property to solve these equations. You will need to factor out a common
term in parts b-d. Use the example in part b to help you remember how to solve these equations.
a.
x 5  x   0
b.
c.
16 x  4 x 2  0
d.
e.
4 x  14 x 2  0
g.
2 x3  4 x 2  0
f.
3x 2  9 x  0
3 x  5 x 2  7 x
(you will need to gather all the terms on one side of
the equation so that the other side equals zero!)
Math 2
Lesson 3-5 Solving Quadratic Equations by Factoring Station 3
Name_________________________
Learning Goals:


1.
I can solve quadratic equations with real numbers as coefficients by inspection (graphing), by finding square
roots, and by using the zero-product property.
I can factor a quadratic equation (ax2+bx+c = 0) to find the zeroes of the function it represents.
Use the Zero Product Property to solve these equations. You will need to factor them using
product-sum first ( a  1 ). You may have to factor out a GCF first. Use the example in part (a) to
help you solve these equations.
a.
b.
c.
d.
e.
g.
x 2  49  0
f.
h.
x2  2 x  1  0
Math 2
Lesson 3-5 Solving Quadratic Equations by Factoring Station 4
Name_________________________
Learning Goals:


1.
I can solve quadratic equations with real numbers as coefficients by inspection (graphing), by finding square
roots, and by using the zero-product property.
I can factor a quadratic equation (ax2+bx+c = 0) to find the zeroes of the function it represents.
Use the Zero Product Property to solve these equations. You will need to factor them using
first ( a  1 ). Use the example in part (a) to help you solve these equations.
a.
b.
c.
5x2  8x  3  0
e.
16 x 2  81  0
d.
3 x 2  19 x  6  0
f.
(set the equation equal to zero first!)
Math 2
Lesson 3-5 Solving Quadratic Equations by Factoring Homework
Name_________________________
Learning Goals:


I can solve quadratic equations with real numbers as coefficients by inspection (graphing), by finding square
roots, and by using the zero-product property.
I can factor a quadratic equation (ax2+bx+c = 0) to find the zeroes of the function it represents.
Solve the following problems using the most appropriate method.
1.
2.
3.
4.
5.
3 x 2  28 x  20  0
6. 3x 2  6 x  0
7.
4 x 2  25  0
8. 5 x 2  18 x  9  0
.