Question

Given that x-√5 is a factor of the cubic ploynomial x³-3√5x²(x² is not under root)+13x-3√5, find all the zeros of the polynomial.

Answer 1

$x-\sqrt{5}$ is a factor

dividing $x^3-3\sqrt{5} x^{2} +13x-3\sqrt{5}$ by $x-\sqrt{5}$  we get

quotient = $x^{2} -2\sqrt{5}x+3$ and remainder = 0

factorizing the quotient you will get your answer