Solve Equations by Factoring

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

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

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.

Solve.

( x + 9 ) ( x - 7 ) = 0

• x² + 2x - 63 = 0

• x = 9 and x = - 7

• x = - 9 and x = 7

• x = 9 and x = 7

Solve  $\left(3x-7\right)\left(2x-8\right)=0$  for x

•  $x=-\frac{7}{3}$  or  $x=4$  

•  $x=-\frac{7}{3}$  or  $x=-4$  

•  $x=\frac{7}{3}$  or  $x=4$  

•  $x=\frac{7}{3}$  or  $x=-4$  

Solve by factoring:

 $6v^2-18v-18=6$  

•  $c=-2,\ 2$  
  

•  $c=\ -4,\ 1$  
  

•  $c=24,\ -1$  
  

•  $c\ =\ -\ 1,\ 4$  
  

Factor 6x²-27x

• (6x+1)(x+3)

• 3x(2x-9)

• 6x(x-9)

• (3x-9)(2x+3)

Factor Completely: 
3x² + 18x +15

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Solve 2x² - 7x + 6 = 0 by factoring

• x = -3/2 and x = -2

• x = -3 and x = -2

• x = 3 and x = 2

• x = 3/2 and x = 2

Given the factors below what is the quadratic equation?

• y= 2x² -5x +3

• y= 2x² +7x -3

• y= 2x² -5x -3

• y= 2x² -7x -3