Values and Zeroes of a Polynomial

Zeroes of Polynomials

What is the sum of the reciprocals of the values of zeroes of the polynomial 6x^(2) +3x^(2)-5x+1 ?

Find the quadratic polynomial whose zeroes are -(1)/(3) and (2)/(5) . Verify the relation between coefficients and zeroes of the polynomial.

Find a quadratic polynomial whose zeros are 1 and -3 . Verify the relation between the coefficients and zeros of the polynomial.

Define zero of a polynomial.

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

Find a quadratic polynomial, the sum of whose zeroes is 5 and their product is 6. Hence, find zeroes 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.

13. 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, the sum of whose zeroes is 17 and the product is 60. Hence, find zeroes of the polynomial.