Question #186426

h(x)=3x^8-5x^4-x+2 descartes rule of signs


1
Expert's answer
2021-05-07T09:50:59-0400

h(x)=3x85x4x+2h(x)=3x^8-5x^4-x+2


using h(+x)

h(x)=+3x85x4x+2h(x)=+3x^8-5x^4-x+2

there are 2 sign changes

This means there are two or no positive roots.


and using h(-x)

h(x)=3(x)85(x)4(x)+2h(x)=3(-x)^8-5(-x)^4-(-x)+2

=+3x85x4+x+2=+3x^8-5x^4+x+2

there are 2 sign changes

This means that there are two or no negative roots.




There are two or zero positive roots, and two or zero negative roots.

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