Solving by Factoring

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What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

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What is the zero product property?

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If the product of two or more factors is zero, at least one of the factors must be zero.

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CCSS.HSA-REI.B.4B

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x = 0, -1

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CCSS.HSA-REI.B.4B

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x = -5, -2, 2, 5

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CCSS.HSA-REI.B.4B

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x = 6, 3

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CCSS.HSA-REI.B.4B

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x = -2, 2

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CCSS.HSA-REI.B.4B

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x = -3, 0, 8

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CCSS.HSA-REI.B.4B

Front

What is a quadratic equation?

Back

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What are the steps to solve a quadratic equation by factoring?

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1. Set the equation to zero. 2. Factor the quadratic expression. 3. Apply the zero product property. 4. Solve for x.

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean to 'set the equation to zero'?

Back

It means to rearrange the equation so that one side equals zero, which is necessary for factoring.

Tags

CCSS.HSA-REI.B.4B