Transcript Equations

6.3 Solving Quadratic Equations by
Factoring
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2
3
Terminology
Zero Factor Theorem
Methods for Solving
Terms
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Terminology
Quadratic Equation in x
Definition
An equation that can be
written in the form
ax2 + bx + c =0,
where a≠0
Example
x2  5x  4 x
x2  5x  4x  0
a  1, b  5, c  4
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Zero Factor Theorem
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
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
Greatest Common Factor (GCF)
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

Look for the largest common number and/or
variables in each term
Divide each term by the common terms
Grouping
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Rainbow Method (2nd degree
Polynomial)
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Solving by Factoring
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
Solve 3x2=10-x
More Solving by Factoring
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
Solve the equation x2 + 16 =8x
Practice Problems
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Page 303
Problems 4-9, 14-41
Even due today
Odd due next day back