Question

The zeroes of the polynomial x²-3x-m(m+3) are

Answer 1

Let f(x)=x² −3x−m(m+3) 

Above polynomial can be written as, 

f(x)=x² −(m+3)x + mx − m(m+3) 

=x(x−m−3) + 3(x−m−3) 

=(x−m−3)(x+m) 

To find the zeroes of f(x), put f(x)=0 

(x−m−3)(x+m)=0 

x−m−3=0 or x=−m

Required zeros are (m+3),−m