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)