Relevant to graphs
Solving Polynomial Equations
Factoring Polynomials
Definitions
Misc.
100
What is the degree when the ends go in opposite directions?
Odd degree
100
What can solutions also be called? (Name at least one)
Zeros
Roots
X-intercepts
100
What is the factoring method we should always look for first?
GCF
100
What is the leading coeffiecient?
The number in front of the highest degree term
100
Leading coefficient? 3x4-7x3+2x+9
3
200
What is the multiplicity of a zero when the line goes straight through?
1
200
What is a degree equivalent to? (What can it tell you?)
The number of solutions.
200
What does SOAP stand for?
Same
Opposite
Always
Positive
200
What is the degree?
The biggest exponent
200
What is the y-intercept? y=4x3+8x2-9x+10
10
300
A polynomial of degree 3 can have at most what? (Name at least one)
At most 3 factors
At most 3 zeros
At most 3 x-intercepts
At most 2 turning points
300
How do you solve by factoring
1. Arrange equation so it is equal to 0
2. Factor completely
3. Set each factor to 0
4. Solve each equation
300
Fill in the sign -
(a+b)(a2_ab+b2)
-
300
What is the constant?
The number without a variable
300
What is the maximum number of zeros? 4x4+18x3-1x2+9x+23
4
400
What is the multiplicity of x=3 if the zeros are 1, 2, 3, 3?
2
400
What is the degree of x3+7x+19
3
400
Find the original equation by solving out 3(4x-1)(16x2+4x+1)
192x3-3
400
What is the end behaviour?
the behavior of the graph as x approaches positive infinity or negative infinity
400
What is the leading coefficient? 8x3+19x2+9x4+19
9
500
What is the multiplicity of (x+3) and (x-2) in order? 
1 and 2
500
List the possible zeros of f(x)= 4x3-7x2+3x-3
±1, ±1/2, ±1/4, ±3, ±3/2, ±3/4
500
Factor 5003-4 using SOAP
4(5x-1)(25x2+5x+1)
500
What is p and q from the rational zero theorem?
p - Factors of the constant term
q- Factors of the leading coefficient
500
A polynomial of degree 9 can have at most how many turning points?
8