1. Divide using long division.
Students,
Take out your calendar and your homework. Take out your spiral notebook and Complete the DNA. Use your notes if necessary.
Divide using long division.
Divide using synthetic division.
Write all the possible zeros of the function.

2. Use the Rational Root Theorem to find the zeros of the following functions.

3. Descartes’s Rule of Signs
1. Positive real zeros of f :
a) equal the number of sign variations of f(x) OR
b) less than number by an even integer
2. Negative real zeros of f:
a) equal the number of sign variations of f(–x) OR
b) less than number by an even integer

4. 3) Describe the possible real zeros of

5. Upper Bound
If c > 0 and each number in the last row is either positive or zero, c is an upper bound for the real zeros of f.
Lower Bound
If c < 0 and each number in the last row alternates positive and negative (zero counts as + & -), c is a lower bound for the real zeros of f.

6. 4) Given the upper and lower bounds of f, find the real zeros of f.

7. The imaginary unit is defined as .
A complex number written in standard form is a number
is treated just like a variable, except
Pairs of complex numbers of the forms a + bi and a – bi are called complex conjugates.

8. Dividing complex numbers.( )( )
Use FOIL ( )( )

9. Divide, multiply, add, or subtract the following complex numbers.

10. We can add, subtract, multiply, and divide complex numbers.
Imaginary
We can also graph complex numbers in an easy way.
Ex 1)
Real
Part
Imaginary
Part
REAL

11. Graph the following polynomial function:
Apply the Leading Coefficient Test.
Find the real zeros of the function.
Plot a few more points.
Draw the graph.

12. Find the domain of the following functions.

13. Write the following in standard form.
Solve the equation.