Page 96 - ADVANCED MATH F.5

Form Five Form Five

Answers to Exercise 5.3

2 − 1 117
1. 1 q− , 1 q− 2. (a) 6 (b) − 8

FOR ONLINE READING ONLY
2
2
30
3. (a) x − 5x −= (b) 3x − 10x − 4 0=
140
2
5. 6. 9x + 55x + 6 0=
17
7. (a) 4x + 2 40x + 51 0= (d) 3x + 2 37x + 12 0=
9 0
2
(b) 4x − 37x += (e) 2x − 2 7x = 0
2
60
(c) x − 5x −= (f) 2x + 2 25x + 72 0=
10. 4x − 3 13x + 2 48x − 64 0=

x
2
3
11. (a) x − 3 3x − 2 2x − 32 0= (b) x + 4x −− 11 0=
1 1 5
12. (a) − (b) 23 (c) 64 (d) − (e) − (f) 18
12 12 12

Remainder theorem, factor theorem, and operations on polynomials
Teaching steps
1. Using the Think-Ink-Pair-Share strategy, guide students to
explore the concept of the remainder theorem using both the
Student’s Book and other resources as suggested.

2. Use Examples 5.19, 5.20, and 5.21 in the Student’s Book to
guide students in discussing various problems involving the
remainder theorem.
3. Devise a strategy which engages students to explore the
concept of factor theorem using the Student’s Book and other
resources as suggested.
4. Use Examples 5.22 and 5.23 in the Student’s Book to guide
students in discussing problems involving factor theorem.

90
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:20
ADVANCED MATH F.5 TG CHAPTERS.indd 90
ADVANCED MATH F.5 TG CHAPTERS.indd 90 30/06/2024 18:02:20