Solving Quadratic Equations by Factoring

What are the 2 characteristics we look for when trying to solve a quadratic equation?

• A positive coefficient for $x^2$ & the equation set equal to 0.

• Factor and cancel

• Distribute and combine like terms

• There is no such thing as a quadratic equation

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratic equation: $x^2+25=10x$  

•  $x=-5$  

•  $x=5$  

•  $x=0$  

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratic equation: $4x^2-9=0$  

•  $x=\frac{3}{2}$  &  $x=-\frac{3}{2}$  

•  $x=\frac{2}{3}$  & $x=\frac{-2}{3}$  

•  $x=\frac{9}{4}$  

•  $x=\frac{4}{9}$  

Tags

CCSS.8.EE.A.2

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 following quadratic equation:
Solve the following quadratic equation: $2x^2-5x+2=0$  

•  $x=\frac{-1}{2}$  & $x=-2$  

•  $x=-1$  & $x=-4$  

•  $x=4$  & $x=1$  

•  $x=\frac{1}{2}\ \&\ x=2$  

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratic equation:
 $x^2=49$  

•  $x=0$  

•  $x=7$  

•  $x=-7$  

•  $x=7\ \ \ \&\ \ \ x=-7$  

Tags

CCSS.8.EE.A.2

Convert x² - 9x + 20 to factored form and solve.

• (x-10)(x+2); x = -2, 10
• (x+4)(x+5); x = -5, -4
• (x-4)(x-5); x = 4, 5
• Not factorable

Tags

CCSS.HSA-REI.B.4B

Factor 6x²-27x

• (6x+1)(x+3)
• 3x(2x-9)
• 6x(x-9)
• (3x-9)(2x+3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What are the solutions to this equation? (x-3)(x+2)=0

• x=3,-2
• x=-3,2
• x=2,3
• x=3,2

Tags

CCSS.HSA-REI.B.4B

Solve by factoring:

n² - 2n = 0

• n = 2 and 0

• n = -2 and 0

• n = 2

• n = 0

Tags

CCSS.HSA-REI.B.4B