6.2 Graphing Polynomials in factored Form. Class Notes.
y = (x + 6)(x – 7)
y = (x + 6)(x – 7)2
x = –6 once
x = 7 once
x = – 6 once
x = 7 twice
y = (x + 6)2 (x – 7)
y = (x + 6)2(x – 7)2
x = – 6 twice
x = 7 once
Double root:
x = – 6 twice
x = 7 twice
Triple root:
Minimum and Maximum of the function.

The following graph shows an eighth-degree polynomial. List the
polynomial's zeroes with their multiplicities.

Determine the following from the graph.
Degree of the polynomial
_____________________
Leading coefficient
______________
Number of turns
____________________
Number of solutions
__________________
Solutions with their multiplicity
___________________
End behavior
_____________________
Degree of the polynomial
_____________________
Leading coefficient
______________
Number of turns
____________________
Number of solutions
__________________
Solutions with their multiplicity
___________________
End behavior
_____________________
Degree of the polynomial
_____________________
Leading coefficient
______________
Number of turns
____________________
Number of solutions
__________________
Solutions with their multiplicity
___________________
End behavior
_____________________
Degree of the polynomial
_____________________
Leading coefficient
______________
Number of turns
____________________
Number of solutions
__________________
Solutions with their multiplicity
___________________
Notes:
Notes:
Graph the following function
Graph the following function
g ( x)  (x  2) ( x  3)
f ( x)  ( x  1)( x  1)2 ( x  3)
2
LC _______________________
Degree ____________________
Solutions with their multiplicity _________
Number of turns _________________
y- intercept ________________
LC _______________________
Degree ____________________
Solutions with their multiplicity _________
Number of turns _________________
y-intercept _________________