Polynomials

1

Find all the zeroes of the polynomial 3x4 + 6x3 - 2x2 - 10x - 5 if two of its zeroes are √(5/3) and – √(5/3)

2

Obtain all zeroes of 3x4 – 15x3 + 13x2 + 25x – 30, if two of its zeroes are √5/3 and – √5/3

3

Find all zeroes of the polynomial (2x4 – 9x3 + 5x2 + 3x – 1) if two of its zeroes are (2 + √3) and (2 – √3).

4

Find the zeroes of the quadratic polynomial x2 + 7x + 10, and verify the relationship between the zeroes and the coefficients.