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 468130: 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 stanbon(75887) (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::: 6
(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 2 changes of sign
so f has 0 or 2 positive zeros
---
f(-x) = x^6-7x^4+2x+7 has 2 changes of sign
so f has 0 or 2 negative zeros
=====================
Cheers,
Stan H.
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