1. 6-8 Roots and Zeros – Day 1 SWBAT
determine the number and type of roots for a polynomial equation.
Find the zeros of a polynomial function.
Holt McDougal Algebra 2
Holt Algebra 2

2. Notes: - pg 362

3. 1. Graphs of an Equation Zeros: x = -2, -1, 1, 2 Factors:
List the factors and zeros of
the graph.
Zeros:
x = -2, -1, 1, 2
Factors:
(x + 2)(x + 1)(x – 2)(x – 1)

4. Determine the number of roots.
x2 – 8x + 16 = 0
x = 4  double root
One real repeated root
4 has a multiplicity of 2
x4 – 1 = 0
x = + i , + 1
Two real roots, 2 imaginary roots

5. Try on your own:
Pg 363 # 1A, 1B

6. Notes:
Notice that the degree of the function is the same as the number of zeros. This is true for all polynomial functions. However, all of the zeros are not necessarily real zeros. Polynomials functions, like quadratic functions, may have complex zeros that are not real numbers.
For example:
2x2 + 4x + 1 has 2 roots
3x4 + 1 has 4 roots

7. HOMEWORK
Pg 366 #s all