5.1.3 Zero Product Property

5.1.3 Zero Product Property

I can solve quadratic equations in standard form, using the zero product property.

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Factor

 $2x^2+5x-12$  .

Type your answer WITHOUT spaces, and in parentheses.

Example 1: (x+7)(x-3)=0

Example 2: (2x+1)(x+4)=0

Example 3: x(x-6)=0

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Solve (x-7)(x-2)=0.

Write your answer as x=a,b without spaces.

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Solve (x+13)(3x-4)=0.

Write your answer as x=a,b without spaces.

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Solve x(2x+4)=0.

Write your answer as x=a,b without spaces.

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Solve (2x-1)(x+3)=0.

Write your answer as x=a,b without spaces.

How can you find y-intercepts from an equation?

How can you find x-intercepts from an equation?

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We are going to find the x-intercepts of

 $y=x^2+4x-5$  
First, FACTOR  $x^2+4x-5$  
Write your answer in parentheses without spaces.

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Now solve the equation: 0=(x+5)(x-1).

Write your answer as x=a,b without spaces.