Question

find p and q if p and q are the zeroes of the quadratic polynomial x²+px+q.​

Answer 1

Given equation

x^2+px+q

Also, given p,q are the roots of the equation.

p+q=−p

2p=−q .....(1)

And pq=q

q(p−1)=0

q=0 or p=1

So, by (1), q=0⇒p=0

Hence, the values of p are 0,1.