Factoring & Solving Equations
Divison
Graphing
Rational Functions
Mystery
100
Factor Completely:
x^2-2x-24
(x+4)(x-6)
100
Use synthetic division to divide
(3x^3-2x^2+6x+10)/(x-2)
3x^2+4x+14+(38)/(x-2)
100
Draw the end behavior of
f(x)=-x^5+4x^3+x^2-x
100
Find the value(s) of x which make the expression undefined
(x+3)/(x^2-2x-15)
x=5, -3
100
What is the degree of this polynomial?
x^3+8x^4+3x^2+17+7x
4
200
Factor Completely:
2x^2-21x+27
(2x-3)(x-9)
200
Use synthetic division to divide
(x^4+2x^3-4x^2+9x+1)/(x+2)
x^3-4x+17-(33)/(x+2)
200
What is the degree of
f(x)=(x)(x+3)^2(x-4)^2(x+1)^3
8
200
Write the equation(s) for the Vertical Asymptote(s)
(2x-4)/(x^2-x-2)
x=-1
200
Find the horizontal asymptote of the expression
(3x^2+4x+1)/(4x^3+2x^2-10
y=0
300
Factor Completely:
x^3+64
(x+4)(x^2-4x+16)
300
Use long division to divide
(x^3+26)/(x-4)
x^2+4x+16+(90)/(x-4)
300
Find the coordinates of the relative maximum of
f(x)=x^3+5x^2-4x+7
Round to the nearest hundredth.
(-3.69,39.60)
300
Write the coordinates of the hole(s)
(x^2-16)/(x^2+10x+24)
(-4,-4)
300
Simplify the following expression
(x^2-5x+4)/(x^2-4x)
(x-1)/x
400
Solve for all x-values:
9x^2-49=0
x=7/3,-7/3
400
Use long division to divide
(50k^3+10k^2-35k-7)/(5k-4)
10k^2+10k+1-(3)/(5k-4)
400
Write an equation for this polynomial
f(x)=-(x+1)(x-2)^3
400
Find the horizontal asymptotes of the expression
(2x^3+3x^2+2)/(x^2-4)
The expression does not have a horizontal asymptote
400
Factor Completely
5x^3-625
5(x-5)(x^2+5x+25)
500
Solve for all x-values:
x^4-5x^2-36=0
x=+-3, +-2i
500
Use long division to divide
(42x^2-33)/(7x+7)
6x-6+(9)/(7x+7)
500
Write an equation for this polynomial
f(x)=(x+3)(x-1)^2
500
Consider the following expression:
(x^2-25)/(x^2+3x-40)
1. Find the values of x which make the expression undefined
2. VA
3. HA
4. Hole(s)
Undefined:
x=5,-8
VA:
x=-8
HA:
y=1
Hole(s):
(5, 10/13)
500
Consider the following expression:
(2x+2)/(4x-16)
1. Find the values of x which make the expression undefined
2. VA
3. HA
4. Hole(s)
Undefined:
x=4
VA:
x=4
HA:
y=1
Hole(s): There are none.