Solving Quadratics with Factoring and Square Roots

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?!?!?!

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?

• { -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.B.4B

What are the x- intercepts?

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

Tags

CCSS.HSF-IF.C.7A

Solve by taking the square root:

x² = 49

• -7

• 7

• 49

• ±7

Tags

CCSS.HSA-REI.B.4B

Solve by taking square roots:
k² - 6 = 43

• k = √37
• k = 37 or - 37
• k = 7, k = -7
• no solution

Tags

CCSS.HSA-REI.B.4B

Solve by taking the square root:

4x² = 100

• ±10

• ±25

• ±5

• 5

Tags

CCSS.HSA-REI.B.4B

Solve by factoring:  2x²+ 7x + 6 = 0

• x= 3/2 and x = 2
• x = -3/2 and x = -2
• x = 6 and x = 7
• x = -6 and x = -7

Tags

CCSS.HSA-REI.B.4B

Solve by factoring:3x² + 5x + 2 = 0  

• x = -2/3 and x = -1
• x = -3/2 and x = -1
• x = 2/3 and x = 1
• x = 2/3 and x = -1

Tags

CCSS.HSA-REI.B.4B