Question

Use Descartes rule of signs to complete the chart with the possibilities for the nature of the roots of the equations:A) x^3 -x^2 +4x -6=0B) x^5 - x^3 + x +1=0

Answer 1

(a)

`x^3-x^2+4x-6=0`

Using Descartes rule of signs;

The first is positive to negative, then negative to positive and lastly positive to negative.

Thus;

It has one positive real root.