Question 468127
 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. 
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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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{{{ graph( 300, 300, -10, 10, -20, 100, x^6-7x^4-2x+7) }}}