The zeroes of the polynomial x2–3x–m(m+3) are
(2)
Let p(x)=x2-3x-m(m+3)
⇒p(x)=x2-(m+3)x+mx-m(m+3)
=x{x-(m+3)}+m{x-(m+3)}
For zeros of p(x)
⇒p(x)=(x+m){x-(m+3)}=0⇒x=-m,m+3
∴ Its zeros are -m,m+3