Consider the linear polynomial

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

Problem

p(x)=ax+b

, where

a

and

b

are real numbers with

a\neq0

. Answer the questions given below. (i) Explain why the graph of

y=p(x)

is a straight line. (ii) Using the fact that a straight line intersects the

x

-axis at at most one point, explain why

p(x)

has exactly one real zero. (iii) If

p(k)=0

for some real number

k

, justify why no other real number can satisfy

p(x)=0