Polynomials - Practice Test

Find a cubic polynomial when the zeroes are 3, -1, 

Find a quadratic polynomial, the sum and product of whose zeroes are 

Find all the zeroes of 2x4 - 3x3 - 3x2 + 6x - 2 if two of its zeroes are  and 

Find the quotient and remainder when the polynomial x⁴ - 3x² + 4x + 5 is divided by x² - x + 1

The quotient and remainder are x - 2 and -2x + 4 respectively. If the polynomial x³ - 3x² + x + 2 is divided by g(x). Find g(x)

Find P and q, if the zeroes of the polynomial x3 - 3x2 + x + 1 are p-q, p, p + q

Find a quadratic polynomial whose zeroes are  and