Solving quadratic equations by factoring
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Solving Quadratic Equations by Factoring. 1. Terminology. 2. Zero Factor Theorem. 3. Methods for Solving. Terms. Zero Factor Theorem. If p and q are algebraic expressions, then pq =0 if and only if p=0 or q=0 Example: (x+2)(2X-4)=0; x+2=0 and/or 2x-4=0 Steps

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Solving Quadratic Equations by Factoring

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Solving quadratic equations by factoring

Solving Quadratic Equations by Factoring

1

Terminology

2

Zero Factor Theorem

3

Methods for Solving


Terms

Terms

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Zero factor theorem

Zero Factor Theorem

  • If p and q are algebraic expressions, then pq=0 if and only if p=0 or q=0

    • Example: (x+2)(2X-4)=0; x+2=0 and/or 2x-4=0

  • Steps

    • Get all variables & constants set equal to zero

    • Factor

    • Set each factor equal to zero

    • Solve each factor individually

    • CHECK YOUR ANSWER


Zeros of the function graphs

y

x

Zeros of the Function: Graphs

Zeros of the Function

Zeros of the Function


Solving by factoring

Solving by Factoring

  • Solve 3x2=10-x


More solving by factoring

More Solving by Factoring

  • Solve the equation x2 + 16 =8x


When to use what

When to Use What

  • Multiples of a variable or constant

    • Example:

    • GCF

  • 3 terms without a multiple of a variable or constant

    • Example:

    • Rainbow Method


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