#029 Lesson 4-2 Solving Quadratic Equations by Factoring

What are the solutions to this equation?

 $(x-3)(x+2)=0$  

• x=3, -2

• x=-3, 2

• x=2, 3

• x=3, 2

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Find two numbers which add to make 6 and multiply to make -13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratic equation: $5x^2=10x$  

•  $x=-2$  

•  $x=2$  

•  $x=2$  & $x=0$  

•  $x=-2$  & $x=0$  

Tags

CCSS.HSA-REI.B.4B

Solve the equation using the zero product property.

3x(2x - 4) = 0

• $x=-\frac{1}{3},\ x=-2$

• $x=0,\ x=2$
  

• $x=0,\ x=-2$
  

• $x=-\frac{1}{3},\ x=2$
  

Solve by factoring: 

 $4x^2+11x-3=0$  

•  $x=-\frac{3}{4}\ and\ x=-1$  
  

•  $x=4\ and\ x=3$  
  

•  $x=\frac{1}{4}\ and\ x=-3$  
  

•  $x=-\frac{1}{4}\ and\ x=3$  
  

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5
• x = 20 and x = -9
• x = 4 and x = 5
• x = -4 and x = 5

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6
• x = 3 and x = -6
• x = -9 and x = 2
• x = 9 and x = -2

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: 5x² + 13x + 6 = 0

• $x=-2,\ x=-\frac{3}{5}$

• $x=2,\ x=\frac{3}{5}$
  

• $x=-2,\ x=\frac{3}{5}$
  

• $x=2,\ x=-\frac{3}{5}$
  

Solve by factoring:

 $2x^2-5x-12=0$  

•  $x=-4,\ x=-6$  
  

•  $x=4,\ x=-\frac{3}{2}$  
  

•  $x=4,\ x=6$  
  

•  $x=-4,\ x=\frac{3}{2}$  
  

 $7x^2-26x-8=0$  

•  $x=-1,\ x=-\frac{7}{8}$  
  

•  $x=4,\ x=-\frac{2}{7}$  
  

•  $x=-4,\ x=\frac{2}{7}$  
  

•  $x=4,\ x=-\frac{7}{2}$