obtain the resolvent cubic..... (elementary algebra)

Question

obtain the resolvent cubic of 4x^4+16x^3-17x^2-102x-45=0 using... (i) Ferrari's method (ii) Descartes method..... Are the cubics you get from (i) and (ii) above the same? Further, use either method to obtain the roots of the equation. [Hint: To obtain a solution of the resolvent cubic, you can apply "Cauchy-Schwarz Inequality 's application for locating roots of a polynomial".]

Comments

I noticed this question earlier, but I'm not familiar with the techniques. I will try and answer when I understand them better.

Answer 1

y=0 at x=-0.5

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