SOLUTION: Analyze and sketch the polynomial functions and complete the charts below. State the degree and
sign of the leading coefficient of the polynomial functions. Determine the end be
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sign of the leading coefficient of the polynomial functions. Determine the end be
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Question 1197185: Analyze and sketch the polynomial functions and complete the charts below. State the degree and
sign of the leading coefficient of the polynomial functions. Determine the end behavior of the
graph of the functions. For 5b, write the polynomial function as a product of linear factors (in
factored form).
a. f(x) = - 7(x + 2)3(x - 1)2(x - 3) Zeros Multiplicity Crosses/Touches
Degree
Sign
End behavior
b. m(x) = x3 - 4x2
Factored form: m(x) =
Degree Zeros Multiplicity Crosses/Touches
Sign
End behavior Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website! a.
zeros/multiplicity /Crosses/Touches:
zeros:
.
multiplicity:
(Multiplicity of )
(Multiplicity of ) (Multiplicity of )
Crosses/Touches: Crosses
If a root of a polynomial has odd multiplicity, the graph will cross the -axis at the the root.
Degree:
Sign: There is two sign change, so there is positive root
End behavior:
as ,
as ,
b.
Factored form:
Degree Zeros Multiplicity Crosses/Touches: =>(Multiplicity of ) =>(Multiplicity of )
Sign: no sign changes, so there are no negative roots
End behavior: , ,
