SOLUTION: 5. For the following function:
f(x)=x^6-7x^4-2x+7
(A)Find the maximum number of real zeros, and
(B)Use Descartes's rule of signs to determine how many positive and how many ne
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Rational-functions
-> SOLUTION: 5. For the following function:
f(x)=x^6-7x^4-2x+7
(A)Find the maximum number of real zeros, and
(B)Use Descartes's rule of signs to determine how many positive and how many ne
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Question 468127: 5. For the following function:
f(x)=x^6-7x^4-2x+7
(A)Find the maximum number of real zeros, and
(B)Use Descartes's rule of signs to determine how many positive and how many negative zeros the function has. You do not need to find the zeros.
Please show all of your work
Please help me, I really will appreciate it, thanks! Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! For the following function:
f(x)=x^6-7x^4-2x+7
(A)Find the maximum number of real zeros, and
(B)Use Descartes's rule of signs to determine how many positive and how many negative zeros the function has. You do not need to find the zeros.
...
f(x) has two sign changes so, function has two positive roots.
f(-x)=x^6-7x^4+2x+7
f(-x) also has two sign changes, so function has two negative roots
The remaining two roots must be complex
ans: function has two positive roots, two negative roots and two nonreal complex roots.
See graph below as a visual check on the answer
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