Question

Plz help:)

Answer 1

Obtain all other zeroes of\[\color{red}{3x^4+6x^3-2x^2-10x-5}\] if its two zeroes are\[\LARGE{\color{blue}{\sqrt{\frac{5}{3}}-\sqrt{\frac{5}{3}}}}\]

Answer 2

you know from this that the equation has at least these factors:\[(x-\frac{\sqrt{5}}{3})(x-\frac{\sqrt{5}}{3})=x^2-\frac{5}{9}\]

Answer 3

so you could use synthetic division to divide by this and get a quadratic to solve