A polynomial is defined as

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

Problem

G(x)=m(3x - 2)

, where

m

is a non-zero real constant. (i) Find the zero of

G(x)

in terms of

m

. (ii) Explain why the zero found in part (i) is independent of the value of

m

. (iii) If the line

y = G(x)

passes through the point

(0, 6)

, determine the value of

m

and, for this value, write the coordinates of both the

x

-intercept and the

y

-intercept of the line.