(a)

Remainder theorem : \ \

If a polynomial is divided by , then remainder is .

The polynomial function and the function value is 2.

The number zero is included for missing terms in the dividend.

The result of the division is .

The result of the division is .

The remainder is r = 175, by using remainder theorem .

The point (2, 175) lie on the graph of g.

Check:

To check the solution, substitute x = 2 in .

\ \

. \ \

The value of .

(b) \ \

The polynomial function and the function value 1.

The number zero is included for missing terms in the dividend.

The result of the division is.

The result of the division is .

The remainder is r = 7, by using remainder theorem .

The point (1, 7) lie on the graph of g.

Check:

To check the solution, substitute x = 1 in .

\ \

. \ \

The value of .

(c)

The polynomial function and the function value 3.

The number zero is included for missing terms in the dividend.

The result of the division is.

The result of the division is .

The remainder is r = 1695, by using remainder theorem.

The point (3, 1695) lie on the graph of g.

Check:

To check the solution, substitute x = 3 in .

\ \

.

The value of .

(d)

The polynomial function and the function value .

The number zero is included for missing terms in the dividend.

The result of the division is.

The result of the division is .

The remainder is r = 7, by using remainder theorem .

The point (, 7) lie on the graph of g.

Check:

To check the solution, substitute x = in .

. \ \

The value of .

(a) .

(b) .

(c) .

(d) .