If α,β are the zeroes of the polynomial x2−px+36 and α2+β2 = 9, then what is the value of p?

If α,β are the zeroes of the polynomial x2−px+36 and α2+β2 = 9,

1.	If α,β are the zeroes of the polynomial x2−px+36 and α2+β2 = 9, then what is the value of p?
Answer» If $α, β$ are the zeroes of the polynomial $x^{2} - p x + 36$ and $α^{2}$ + $β^{2}$ = 9, then what is the value of p?