Meaning of the Zeroes of a Polynomial

Zeroes of Polynomials

If (1 - p) is a zero of the polynomial x^2 +px + 1-p= 0 , then find both zeroes of the polynomial.

Without actually calculating the zeroes, from a quadratic polynomial whose zeroes are reciprocals of the zeroes of the polynomial 5x^2+2x-3

Define zero of a polynomial.

Zero of the zero polynomial is

Find the zeroes of the polynomial x^(2)+(1)/(6)x-2, and verify the relation between the coefficients and the zeroes of the above polynomial.

Find the quadratic polynomial sum and product of whose zeroes are -1 and -20 respectively. Also, find the zeroes of the polynomial so obtained

Find the quadratic polynomial, the sum of whose zeros is (5/2) and their product is 1 . Hence, find the zeros of the polynomial.

Find the quadratic polynomial whose zeros are 2 and - 6 verify the relation between the coefficients and the zeros of the polynomial.

Find the quadratic polynomial whose zeros are 2/3 and (-1)/4 . Verify the relation between the coefficients and the zeros of the polynomial.