Elective Mathematics

Question 1

1The remainder when x² + 6 is divided by (x − 5) is ___

Easy

Your answer (fill in the blank)

Question 2

2Find the remainder when x³ − 3x² + 4x + 6 is divided by (x − 2).

Medium

A. 8 B. −10 C. 11 D. 10

Question 3

3Find the remainder when x³ − 5x is divided by (x − 1).

Medium

A. −3 B. −4 C. −5 D. 4

Question 4

4A cubic polynomial has at most

Easy

A. one real root B. four real roots C. two real roots D. three real roots

Question 5

5The remainder when x² − 1 is divided by (x − 1) is 1.

Easy

A. True B. False

Question 6

6Factorise completely x² − 5x + 4.

Easy

A. (x + 1)(x − 4) B. (x − 1)(x + 4) C. (x − 1)(x − 4) D. (x + 1)(x + 4)

Question 7

7The remainder theorem states that when f(x) is divided by (x − a) the remainder is

Easy

A. f(−a) B. f(0) C. f(a) D. a

Question 8

8Factorise completely x² − 2x + 1.

Easy

A. (x − 1)(x − 1) B. (x − 1)(x + 1) C. (x + 1)(x − 1) D. (x + 1)(x + 1)

Question 9

9The remainder when x² + 3 is divided by (x − 3) is ___

Easy

Your answer (fill in the blank)

Question 10

10Find the remainder when x³ − 2x² − 5x − 2 is divided by (x + 2).

Medium

A. −7 B. 8 C. −8 D. −9