Solving Quadratics by Factoring

What is a method of checking your work when factoring?

• FOIL
• asking the teacher every time
• assume you're correct
• division

Tags

CCSS.HSA.APR.B.2

What is the first question you ask yourself when factoring a polynomial? 

• How many terms does it have? 
• Is there a GCF? 
• What strategy should I use? 
• Why do I have to learn this?!?!?!

Tags

CCSS.HSA.SSE.A.2

What is the first step in solving 
(x + 2)(x - 3) = 0      ?

• Plug in zero for x
• Solve for x
• FOIL
• Set each binomial factor equal to zero

Tags

CCSS.HSA-REI.B.4B

What are the values of x when y = 0? THINK: Roots, X-intercepts, Solutions, Zeros

• { -3, 1 }
• { -2 }
• { -3, -1 }
• { 1, 3 }

Solve for the values of x:
(x - 3)(x + 6) = 0

• { -3, -6 }
• { 3, -6 }
• { -3, -6 }
• { 3, 6 }

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

What are the x- intercepts?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

Solve:  $2x^2-x-15=0$  

•  $x=-\frac{5}{2}$  and  $x=3$  

•  $x=\frac{5}{2}$  and  $x=-3$  

•  $x=\frac{5}{2}$  and  $x=3$  

•  $x=-\frac{5}{2}$  and  $x=-3$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve:  $3x^2+7x-6=0$ 

•  $x\ =\ 3$  and  $x=-\frac{2}{3}$  

•  $x=-3$  and  $x=\frac{2}{3}$  

•  $x=-3$  and  $x=-\frac{2}{3}$  

•  $x=3$  and  $x=\frac{2}{3}$  

Tags

CCSS.HSA-REI.B.4B

Solve:  $2x^2+x=6$ 

•  $x=6$  and  $x=\frac{5}{2}$  

•  $x=-2$  and  $x=\frac{3}{2}$  

•  $x=\frac{3}{2}$  and  $x=2$  

•  $x=-\frac{5}{2}$  and  $x=6$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve:  $0=3x^2-12x-15$  

•  $x=-5$  and  $x=1$  

•  $x=5$  and  $x=-1$  

•  $x=0$  ,  $x=5$  , and  $x=-1$  

•  $x=-5$  and  $x=-1$  

Tags

CCSS.HSA.REI.B.4