Mixed Practice with Graphs of Polynomials and Poly Division

Degree 2  (quadratic)

Degree 3 (cubic)

Degree 4 (quartic)

Degree 5 (quintic)

It is a positive #

It is a negative #

It is an even #

It is an odd #

Degree is Even, Leading Coefficient is Positive

Degree is Even, Leading Coefficient is Negative

Degree is Odd, Leading Coefficient is Positive

Degree is Odd, Leading Coefficient is Negative

4

3

2

1

-2, 3 (multiplicity 2), 4

-2 (multiplicity 2), 3, 4

2, -3 (multiplicity 2), -4

2 (multiplicity 2), -3, -4

-4, -1, 3

3, -3, 4, 1

4, 1, -3

3, -4, -1, 3

x-intercept

zero

root

all of these.

none of these

3, √5 

3, √5, -√5

-3, √5, -√5

-3, 5i, -5i

$$\lim_{x\rightarrow\infty}f\left(x\right)=\infty\$$  and

$$\lim_{x\rightarrow-\infty}f\left(x\right)=\infty\$$  

$$\lim_{x\rightarrow\infty}f\left(x\right)=\infty\$$  and $$\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty\$$  

$$\lim_{x\rightarrow\infty}f\left(x\right)=-\infty\$$  

and $$\lim_{x\rightarrow-\infty}f\left(x\right)=\infty\$$  

$$\lim_{x\rightarrow\infty}f\left(x\right)=-\infty\$$  

and $$\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty\$$