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Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction to factor theorem | Know and understand the theorem of the factor with a given example. |
| 2. | Quadratic factorization using splitting of middle term | Start understanding quadratic factorization using middle term splitting. |
| 3. | Factorising the cubic polynomial | Begin to understand the cubic polynomial using the middle term method of splitting. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Evaluate which of the following polynomial has (x+1) as a factor | 1st type - receptive | easy | 2 m. | Practise to check whether (x+1) is a factor for the given polynomial. |
| 2. | Predict g(x) is a factor of p(x) | 1st type - receptive | easy | 2 m. | Practise and find whether p(x) is a factor of g(x) or not. |
| 3. | Factorise the quadratic polynomial | 1st type - receptive | easy | 2 m. | Practise to perform and find quadratic polynomial. |
| 4. | Find the value of k, if (x-a) is a factor of p(x) | 1st type - receptive | easy | 2 m. | Apply the factor theorem and hence find the value of 'k'. |
| 5. | Determine whether '(x+1)' is a factor of given polynomial | 2nd type - interpretation | medium | 3 m. | Practise to find the whether 'x+1' is a factor of given polynomial or not. |
| 6. | Check whether g(x) is a factor of p(x) | 2nd type - interpretation | medium | 4 m. | Try using factor theorem to determine if g(x) is a factor of p(x). |
| 7. | Calculate the value of 'k' | 2nd type - interpretation | medium | 3 m. | Use factor theorem to determine the value of 'k'. |
| 8. | Evaluate the value of 'k' | 3rd type - analysis | medium | 4 m. | Analysing the question and find the unknown value 'k'. |
| 9. | Factorise the cubic polynomial | 3rd type - analysis | hard | 4 m. | Use the splitting the middle term method to perform the cubic polynomial. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the value of 'k' , if (x-1) is a factor of p(x) | Other | hard | 4 m. | Try finding the value of 'k', if (x-1) is a factor of p(x). |
| 2. | Factorise the quadratic polynomial | Other | medium | 4 m. | Begin to use quadratic polynomial factarisation. |
| 3. | Determine the value of 'k' | Other | medium | 3 m. | Try using the factor theorem to predict the unknown value of 'k'. |
| 4. | Factorise the cubic polynomial | Other | hard | 4 m. | Use the splitting the middle term method to perform the cubic polynomial. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test | 00:15:00 | medium | 9 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework | 00:20:00 | medium | 10 m. | |
| 2. | Homework | 00:20:00 | hard | 14 m. | |
| 3. | Progress test | 00:20:00 | medium | 12 m. |
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