Review: Solving Quadratic Equations by Factoring

Which property is used in the following steps: 

Step 1: $\left(x+3\right)\left(2x-1\right)=0$  

Step 2: $x+3=0,\ 2x-1=0$  

• Associative property

• Zero product property

• Commutative property of addition

• Distributive property

Rewrite in factored form: x²- 6x - 40 = 0

• (x-10)(x+4) =0

• (x+10)(x-4) = 0

• (x-8)(x+5) = 0

• (x+8)(x-5) = 0

Solve by factoring: x² + 13x + 12 = 0

• x = -12, -1

• x = 12, 1

• x = 13, 1

• x = -13, -1

Solve the equation: (x-7)(x+3)=0

• x =-7 and x = 3

• x = 7 and x = 3

• x = -7 and x = -3

• x = 7 and x = -3

Which graph shows a quadratic function that is not factorable and has no real solutions?

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Use factoring to determine how many x- intercepts y = x²+6x+9 has.

• One Solution

• Two Solutions

• No Real Solution

• Infinitely Many Solutions

How many roots does the quadratic function have? What are they?

• Two Solutions x = 2 and x = -4

• One Solution x = -2

• No Real Solution

• Two Solutions x = -2 and x = 2

Which graph shows a function  $y\ =\ ax^2+bx+c$  where a is NEGATIVE?

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• None of these

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Which parabola has a vertex of (2,2)?

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Which graph shows the function  $f\left(x\right)\ =\ \left(x\ +3\right)\left(x+1_{ }\right)$  

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