SOLUTION: Hey ! I need help solving this.
f(x) = x^4 − x^3 − 20x^2
What are all the zeros of the function and determine the multiplicity of each zero and the number of tur
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Question 976976: Hey ! I need help solving this.
f(x) = x^4 − x^3 − 20x^2
What are all the zeros of the function and determine the multiplicity of each zero and the number of turning points of the graph of the function.
Thank you!
Found 2 solutions by MathLover1, lwsshak3:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
set
....factor out
....factor completely , replace with
......group
so, zeros are:
=>-the multiplicity
=>-the multiplicity
=>, -the multiplicity
as you can see, there are turning points of the graph of the function
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
f(x) = x^4 − x^3 − 20x^2
What are all the zeros of the function and determine the multiplicity of each zero and the number of turning points of the graph of the function.
***
f(x) = x^4 − x^3 − 20x^2
f(x) = x^2(x^2 − x − 20)
x^2(x^2 − x − 20)=0
x^2(x-5)(x+4)=0
zeros are: 0, -4, 5
multiplicity=1 for all zeros
number of turning points=3
see graph below:
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