The polynomial leaves a remainder on division by and a remainder on division by

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

The polynomial

h(x)=x^2 + kx + m

leaves a remainder

5

on division by

x-1

and a remainder

2

on division by

x+2

. Which ordered pair

(k,m)

satisfies these conditions? (a)

(1,3)

(b)

(2,2)

(c)

(3,1)

(d)

(6,10)