How will you verify if a quadratic polynomial has only zero ?

Write one quadratic polynomial that has one zero.

Find a quadratic polynomial with zeroes -2 and 1/3 .

Write three quadratic polynomials that have 2 zeroes each.

Find the quadratic polynomial whose zeroes are 2 and (-1)/(3)

Write the general form of a quadratic polynomial and cubic polynomial in variable x.

If alpha" and " beta are the zeroes of the polynomial p(x)= 3x^(2)+11x+a , form a quadratic polynomial whose zeroes are 3alpha" and "3beta .

What is the quadratic polynomial the sum of whose zeroes id (-3)/(2) and the product of the zeroes is -1

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients of the polynomial : y^(2)-8y-20

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients of the polynomial : x^(2)-4x-77

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients : 4s^(2)-4s+1