Key Features
Graphing Polynomials
Add/Subtract/Multiply Polynomials
Polynomial Identities
Dividing Polynomials
100
Define domain
All possible x values
100
How many turning points does this graph have?
2
100
3 - 2y - 5 + 6y
4y - 2
100
(a + b)(a - b)
a2 - b2
100
(x^3+4x^2+2x+10)\div(x+4)
x^2+2+2/(x+4)
200
Define range
All possible y values
200
Draw a graph of a polynomial funciton that has an even degree and positive lead coefficient.
U
Something like x^2. Must go up on both ends of the graph.
200
(7a3 - a + 3a2) + (8a2 - 3a - 4)
7a3 + 11a2 - 4a - 4
200
(a - b)(a2 + ab + b2)
a3 - b3
200
Is x+4 a factor of x3 + 4x2 + 2x + 10?
No
300
How many y-intercepts does this graph have?
1, at (0,0)
300
Classify this graph (even/odd and +/-)
odd negative
300
2m(m + 3) - 6(3m - 2) + 2
2m2 - 12m + 14
300
(a + b)3
a3 + 3a2b + 3ab2 + b3
300
Fill in the blanks
A=-1, B=1, C=-26, D=24, E=0
400
How many x-intercepts does the graph have?
3, at (-4, 0), (0, 0), and (3, 0)
400
If a polynomial function is even and positive, what is the end behavior of the function as x increases to positive infinity?
y approaches negative infinity
400
2ab2(4a + 2b) - 3a2b2 - 4 + 2b
5a2b2 + 4ab3 + 2b - 4
400
a2 + 2ab + b2
(a + b)2
400
Find all the factors of the following polynomial. One of the 3 factors is x + 1.
x^3-x^2-26x-24
(x + 1)(x + 4)(x - 6)
500
On what interval(s) is the graph positive?
(-4, 0) and (3, infinity)
500
What is the fewest number of x intercepts an odd degree polynomial could have?
1
500
4x(x + 3y)2 + 2x(3x + y)2
22x3 + 36x2y + 3xy2
500
(x + 2)5
x5 + 10x4 + 40x3 + 80x2 + 80x + 32
500
(x^4+2x^3-8x^2-18x-9)\div(x^2+2x+1)
x2-9 or (x+3)(x-3)