if alpha and beta are zeroes of the polynomial x2-5x+6,then find the polynomial whose zeroes are root 3 and -root 3

Answer 1

" ..... find the polynomial whose zeroes are root 3 and -root 3"

y = (x-√3)(x+√3)
= x^2 - 3

What does the fact that alpha and beta are zeros of the the polynomial x^2 - 5x + 6 have to do with it?
other than alpha = 2 and beta = 3

Answer 2

by splliting middle term

Answer 3

Math