Lesson 6.2 (pt 2) Polynomials and Factors.notebook
January 19, 2012
6.2
Polynomials and Linear Factors
Objectives:
• Be able to write a polynomial in standard form and
factored form
• Be able to find the zeros of a polynomial function
• Be able to graph a polynomial function using its zeros
Relative Maximum:
Largest y-value on the graph
Relative Minimum:
Smallest y-value on the graph
Zeros
The solution(s); x-intercepts
1
Lesson 6.2 (pt 2) Polynomials and Factors.notebook
January 19, 2012
P. 312 in Book
NO CALCULATOR!
Find the zeros of the function f(x) = (x - 2)(x + 1)(x + 3)
Sketch a graph of your
equation. (Hint: what is
the end behavior of your
graph? What are the
zeros?)
2
Lesson 6.2 (pt 2) Polynomials and Factors.notebook
January 19, 2012
NO CALCULATOR!
Find the zeros of the function f(x) = (2x + 1)(x - 2)(x + 4)
Sketch a graph of your
equation. (Hint: what is
the end behavior of your
graph? What are the
zeros?)
NO CALCULATOR!
Find the zeros of the function f(x) = x(x + 3)(x - 4)
Sketch a graph of your
equation. (Hint: what is
the end behavior of your
graph? What are the
zeros?)
3
Lesson 6.2 (pt 2) Polynomials and Factors.notebook
January 19, 2012
If a zero occurs more than once, this
is called multiplicity
Find the zeros of the function f(x) = (x-2)(x+1)2 and state
any multiplicity
Sketch a graph of your
equation. (Hint: what is
the end behavior of your
graph? What are the
zeros?)
Even multiplicity: BOUNCE
Odd multiplicity: THROUGH
If a zero occurs more than once, this
is called multiplicity
Find the zeros of the function f(x) = x3 - 4x2 + 4x and state
any multiplicity
Sketch a graph of your
equation. (Hint: what is
the end behavior of your
graph? What are the
zeros?)
Even multiplicity: BOUNCE
Odd multiplicity: THROUGH
4