Solve the equation 3x³ - 16x² + 23x - 6 = 0 if the product of two roots is 1.

Form the equation whose roots are the squares of the roots of the cubic equation x³+ ax²+ bx + c = 0.

Solve the equation x³− 9x²+14x + 24 = 0 if it is given that two of its roots are in the ratio 3:2.

Find a polynomial equation of minimum degree with rational coefficients, having \(\sqrt{5}\)−\(\sqrt{3}\) as a root.

If 2+i and 3-\(\sqrt{2}\) are roots of the equation x⁶-13x⁵+ 62x⁴-126x³+ 65x²+127x-140 = 0, find all roots.