Question

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

Answer 1

..Heya mate..here is ur answer..plz mark as brainliest..

Answer 2

a+b) = -p

a+b)^2 = p^2

( a-b)^2 = ( a+b)^2 - 4 ab

= p^2 - 4q

Polynomial whose zeroes are ( a+b)^2 and ( a- b)^2 is

x^2 - (( a+b)^2 + ( a-b)^2))x+ ( (a+b)^2(a-b)^2))

x^2-( p^2+ p^2 - 4q)x + ( p^2)( p^2-4q)

x^2-( 2q^2-4q)x + p^4 - 4qp^2

x^2-2x( q^2 + 2q) + p^4 - 4qp^2