This is the basic and exam oriented question from polynomials in which we have given a polynomial x²+x-p(p+1) and we have 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 2
Let f(x)=x²+x−p(p+1)
above polynomial can be written as ,
=x²+(p+1)x−px−p(p+1)
=x(x+(p+1))−P(x+(p+1))
=(x−p)(x+(p+1))
to find the zeroes of f(x), put f(x)=0
(x−p)(x+(p+1))=0
either (x−p)=0 or (x+(p+1))=0
x=p or x=−(p+1)
hence the zeros of the given polynomial are p and −(p+1)