A linear polynomial satisfies the following conditions:

MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials

Problem

A linear polynomial

p(x)=mx+n

satisfies the following conditions: (i) Its zero is

x=4

. (ii)

p(-3)=9

. (iii) Determine the values of

m

and

n

. (iv) Using the values of

m

and

n

, verify that the polynomial

p(x)

has exactly one zero.