‘-p’ and ‘q’ are the zeroes of the polynomial
x2–bx+c.
The zeroes of the polynomial x2–bxy+cy2are
-py,qy
‘-p’ and ‘q’ are the zeroes of the polynomial x2–bx+c.
⟹x2–bx+c=(x+p)(x−q).
⟹x2−bx+c=x2+px−qx−pq
⟹−b=p−q, and c=−pq
x2–bxy+cy2=x2–(p−q)xy−pqy2
=x2−(py−qy)x−(py)(qy)
=(x+py)(x−qy)
Thus, the zeroes of the polynomial x2–bxy+cy2 are −py and qy.