Quadratic Equations – Part 1 33 22 11 Terminology Zero Factor Theorem Methods for Solving.

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Transcript of Quadratic Equations – Part 1 33 22 11 Terminology Zero Factor Theorem Methods for Solving.

Page 1: Quadratic Equations – Part 1 33 22 11 Terminology Zero Factor Theorem Methods for Solving.

Quadratic Equations – Part 1

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2

1Terminology

Zero Factor Theorem

Methods for Solving

Page 2: Quadratic Equations – Part 1 33 22 11 Terminology Zero Factor Theorem Methods for Solving.

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Terms

Terminology Definition Example

Quadratic Equation in x

An equation that can be written in the form ax2 + bx + c =0, where a≠0

4,5,1

045

452

2

cba

xxx

xxx

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Zero Factor Theorum

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

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Solving by Factoring

Solve 3x2=10-x

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More Solving by Factoring

Solve the equation x2 + 16 =8x

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A Special Quadratic Equation

If x2 = d, then x = ±d

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Solving a Special Quadratic Equation

Solve the equation x2 = 5

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Solving Another Special Quadratic Equation

Solve the equation (x + 3)2 = 5

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Completing the Square

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Solving a Quadratic Equation by Completing the Square

Solve x2 – 5x +3 = 0

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Clearing an Equation of Fractions Solve the equation

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Practice Problems

Page 91Problems 1-30


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