If p and q are zeroes of `2x^(2)+2(m+n)x+m^(2)+n^(2)`, form the quadratic polynomial whose zeroes are `(p+q)^(2)` and `(p-q)^(2)`.

If alpha,beta are zeroes of the polynomial x^(2)-2x-15, then form a quadratic polynomial whose zeroes are (2 alpha) and (2 beta)

If alpha and beta are the zeros of the polynomial f(x)=x^(2)+px+q, form a polynomial whose zeros are (alpha+beta)^(2) and (alpha-beta)^(2)

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-px+q, prove that (a^(2))/(beta^(2))+(beta^(2))/(a^(2))=(p^(4))/(q^(2))-(4p^(2))/(q)+2

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-px+q ,prove that (alpha^(2))/(beta^(2))+(beta^(2))/(alpha^(2))=(p^(4))/(q^(2))-4(p^(2))/(q)+2

If alpha and beta are the zeros of the polynomial f(x)=x^(2)+px+q, then a polynomial having (1)/(alpha) and (1)/(beta) is its zeros is (a) x^(2)+qx+p( b) x^(2)-px+q(c)qx^(2)+px+1 (d) px^(2)+qx+1

If 2 and -2 are the zeroes of the polynomial p(x). write the polynomial p(x)

What is the other zero of the polynomial, if one zero of the quadratic polynomial 2x^2-8x-m is 5/2 ?

For which values of a and b , the zeroes of q(x) = x^(3)+2x^(2)+a are also the zeroes of the polynomial p(x) = x^(5)-x^(4)-4x^(3)+3x^(2)+3x +b ? Which zeores of p(x) are not the zeroes of p(x) ?

Zero of the polynomial p(x)=2x+5 is

If p and q are roots of the quadratic equation x^(2) + mx + m^(2) + a = 0 , then the value of p^(2) + q^(2) + pq , is