Zero Product Property

 Solve for the values of x.
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 $2x^2+7x-4$ 

• { 1/2, -4 }

•  { 1/2, 4 }

• { 2, -4 }

• { -2, 4 }

Tags

CCSS.HSA-REI.B.4B

Which equation is the standard form of a quadratic function?

• f(x) = mx + b

• f(x) = a(x - m)(x - n)

• f(x) = ax² + bx + c

• f(x) = a(x - h)² + k

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What do you check FIRST before you can start factoring?

• If there is a GCF

• What the a value is

• All terms are combined

• Zero Product Property

Find all the solutions for x.

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 $x^2-36=-9x$  

• (x + 12)(x - 3)

• x = 12 and x = -3

• x = -12 and x = 3

• (x - 9)(x - 4)

Tags

CCSS.HSA-REI.B.4B

What does it mean to "find the zeros" of a quadratic?

• Plug in 0 and solve the expression.
• Factor then set each factor equal to zero and solve to find x-intercepts
• Set the expression equal to zero and solve 
• Factor then set each factor equal to zero and solve to find y-intercepts

Tags

CCSS.HSA-REI.B.4B

What are the solutions to this equation?
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 $y=15x^2-7x-2$  

• x=5/2,-1/3

• x=1/5,-2/3

• x=1/3,-5/2

• x=2/3,-1/5

Tags

CCSS.HSA-REI.B.4B

What should you do first in solving this equation?
 $x^2+6x-13=3$  

• Write down:  $a=1x^2,\ b=6x,\ c=-13$  

• Write down:  $a=1,\ b=6,\ c=-13$  

• Make it equal 0 by subtracting 3 on each side

• Make it equal 0 by adding 3 on each side

Tags

CCSS.HSA-REI.B.4B

Solve by factoring.

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Select all answers that apply:

y² + 6y = 7

• -6

• 7

• -7

• -1

• 1

Tags

CCSS.HSA-REI.B.4B

What are the solutions of the following equation?
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 $4x^2-20x=-16$  

• x = 1 and x = 4

• x = -16 and x = 20

• x = - 4 and x = 16

Tags

CCSS.HSA-REI.B.4B

Suzie solves the equation below:
 $x^2+4x-12=2$ 
 $(x-2)(x+6)=2$  
by setting  $x-2=0$ and $x+6=0$ . 
Her solutions are  $x=2$ and $x=-6$ .
Is Suzie correct? Why or why not?

• Yes, she factored correctly and then used the zero product property

• No, she didn't factor correctly so the rest of her work is wrong.

• No, she did not set the equation equal to zero before factoring.

Tags

CCSS.HSA-REI.B.4B