Equations - BakerMath.org
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Transcript Equations - BakerMath.org
Solving Quadratic Equations by
Factoring
1
2
3
Terminology
Zero Factor Theorem
Methods for Solving
Terms
2
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
3
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
4
Zeros of the
Function
y
Zeros of the
Function
x
Solving by Factoring
5
Solve 3x2=10-x
More Solving by Factoring
6
Solve the equation x2 + 16 =8x
When to Use What
7
Multiples of a variable or constant
Example: 12x 3 8 x 2 0
GCF
3 terms without a multiple of a variable or constant
Example:
x 2 5 x 3
Rainbow
Method