# Polynomials

### For what value of k, is the polynomial f(x) = 3x^4 – 9x^3 + x^2 + 15x + k

For what value of k, is the polynomial f(x) = 3x4 – 9x3 + x2 + 15x + k completely divisible by 3x2 – 5 ?

### Find the zeroes of the quadratic polynomial 7y^2 – 11y/3 – 2/3

Find the zeroes of the quadratic polynomial 7y2 – 11y/3 – 2/3 and verify the relationship between the zeroes and the coefficients.

### Find all the zeroes of the polynomial 3x^4 + 6x^3 - 2x^2 - 10x - 5

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

### Obtain all zeroes of 3x^4 – 15x^3 + 13x^2 + 25x – 30

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

### Find all zeroes of the polynomial (2x^4 – 9x^3 + 5x^2 + 3^x – 1)

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

### Find the zeroes of the quadratic polynomial x^2 + 7x + 10

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