Determine the quadratic polynomial that satisfies the following conditions:

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

Determine the quadratic polynomial

f(x)=ax^{2}+bx+c

that satisfies the following conditions: (i) The remainder obtained on division by

x-1

3

. (ii) The remainder obtained on division by

x-2

7

. (iii)

f(0)=1