Let be a quadratic polynomial that leaves quotient and remainder on division by

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

Let

f(x)

be a quadratic polynomial that leaves quotient

(x+p)

and remainder

3

on division by

x-2

. The same polynomial leaves remainder

-1

when divided by

x+1

. Determine the value of

p

and hence write

f(x)