Mathematics

Problem

Consider the linear polynomial

P(x)=3-2x

. a. (i) Rewrite

P(x)

in the form

ax+b

and state the values of

a

and

b

. b. (ii) Find the zero of

P(x)

. c. (iii) Determine the coordinates of the

x

–intercept and

y

–intercept of the graph

y=P(x)

. d. (iv) Draw a neat sketch of the graph using the two intercepts obtained in part (iii) and clearly mark both intercepts on your diagram.