One of the most important and conceptual question from polynomials in which we have given a polynomial x²-3x-m(m+3) and we have been asked to find the zeroes of the given polynomial.
Kindly give me a detailed solution of this question
RS Aggarwal, Class 10, chapter 2C, question no 3
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