1. Solving Polynomial Functions
Chapter 7, Sections 3, 4, and 5

2. A few things to remember:
Most solutions can be found by graphing and finding the intersections.
SOLUTIONS = ROOTS = ZEROS = X- INTERCEPTS!!!!
Complex answers ALWAYS come in pairs, which are conjugates.
The number of solutions is the same as the degree of the polynomial
“a” is the answer if and only if f(a) = 0

3. Solving Polynomials with Real Solutions

4. What happens when all answers aren’t real?????
Recall:
The number of solutions is the degree of the polynomial
Complex solutions come in pairs
Examples of describing the types of solutions:
Polynomial
Deg.
MAX
Sol.
# Real
#Complex

5. Finding factors using solutions
If you know the solution to a polynomial function, then you know a factor.
For example:
If x=3 is a solution, then x-3 is a factor.
If x=-9 is a solution, then x+9 is a factor.
If x=2/3 is a solution, then 2x-3 is a factor.
If x=-3/4 is a solution, then 4x+3 is a factor.

6. Using solutions to get the equation
If you know the solutions, then you can determine the original equation.
For example:
Solutions are 2 and 3:
Solutions are 4i and -4i:
Solutions are -3, 5, and -2:
Solution is 3+i

7. Homework Pages 45 in workbook Page 46 in workbook Page 47 in workbook
Problems even (give the real answers and how many complex answers)
Page 46 in workbook
Problems odd (find the answers and then use that to find the factors)
Page 47 in workbook
Problems 17-20
Exit Slip
Explain how the solutions relate to the equation of the polynomial.