If a quadratic polynomial `f(x)` is a square of a linear polynomial, then its two zeroes are coincident. (True/false)

State 'T' for true and 'F' for false and select the correct option. I. If a quadratic polynomial f(x) is a square of a linear polynomial, then its two zeroes are coincident. II. If a quadratic polynomial f(x) is not factorisable into linear factors, then it has no real zero. III. If graph of quadratic polynomial ax^(2)+bx+c cuts positive direction of y-axis, then the sign of c is positive. IV. If fourth degree polynomial is divided by a quadratic polynomial, then the degree of the remainder is 2.

If a quadratic polynomial f(x) is not factorizable into linear factors,then it has no real zero.(Trueffalse).

A quadratic polynomial can be written as the product of .......linear polynomials.

A quadratic polynomial with zeroes -2 and 3, is :

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-1, find a quadratic polynomial whose zeros are (2 alpha)/(beta) and (2 beta)/(alpha)

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-1, find a quadratic polynomial whose zeros are (2 alpha)/(beta) and (2 beta)/(alpha)

A quadratic polynomial with zeroes -2 and 3, is:

If alpha and beta are zeroes of a quadratic polynomial x^(2)-5, then form a quadratic polynomial whose zeroes are 1+alpha and 1+beta

Assertion(A): The sum and product of the zeroes of a quadratic polynomial are (-1)/4 and 1/4 respectively. Then the quadratic polynomial is 4x^(2)+x+1 Reason (R):The quadratic polynomial whose sum and product of zeroes are given is x^(2) -(Sum of zeroes) x+ product of zeroes.

If alpha and beta are the zeros of the quadratic polynomial f(x) = 3x^2 - 7x - 6 , find a polynomial whose zeros are alpha^(2) and beta^(2)