1. Simplify .

A.

B.

C.

D.

E.

2. Let . If the H.C.F. and L.C.M. of polynomials f(x) and g(x) are and respectively, which of the following is g(x)?

A.

B.

C.

D.

E.

3. If f(x) is divisible by x - a, then f(3x) is divisible by

A. 3x - 3a

B. x + 3a

C. 3x - a

D. 3x + a

E. x - 3a

4. If the H.C.F. of and is x + 1, find their L.C.M.

A.

B.

C.

D.

E.

5. Find the remainder when is divided by x, where n is a positive integer.

A.

B.

C. 2

D. 0

E. -1

6. If x - 3 is a factor of , find the remainder when is divided by x + 1.

A. 2

B. -4

C. -8

D. -10

E. -12

7. Find the remainder when is divided by x + 1.

A. 1

B. 0

C. - 1

D. - 1 997

E. - 1 998

 

8. Find the L.C.M. of and .

A.

B.

C.

D.

E.