Mathematics

Problem

A polynomial is defined as

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

, where

m

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

G(x)

in terms of

m

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

m

. c. (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.