The Remainder Theorem

• The global consumer packaging market

is valued at approximately US$400b

and an estimated US$500b if industrial

end‑markets are included.

The volume, V, in cubic centimetres, of a rectangular box is given by

V(x) = x3 + 7x2 + 14x + 8.

Determine expressions for possible dimensions of the box if the height, h,

in centimetres, is given by x + 2.

h = x + 2

l

w

V = x3 + 14x2 + 7x + 8

Note: x must be between 10 and 20 cm

Complete the following:

a) Find f(2)

-4

Complete the following:

a) Find f(1)

10

Complete the following:

a) Find f(-1)

5

If we were only concerned with finding the remainder, is there a

shortcut….