PDF chapter test TRY NOW
Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| Number 1. | Name Division algorithm for polynomials | Description Learn to find the remainder and quotient using long division method. |
| Number 2. | Name Synthetic division | Description To learn the process of synthetic division to find the roots of the polynomial. |
| Number 3. | Name Factorisation using synthetic division | Description To learn how to factorise a cubic polynomial by synthetic division method. |
| Number 4. | Name GCD of a polynomial | Description Leard how to find the GCD of polynomial by factorisation. |
| Number 5. | Name Mind map | Description Mind map of the representation of division of polynomials and factorization of polynomials. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Multiple choice questions | Type Other | Difficulty easy | Marks 2 m. | Description Select the suitable choice for the given questions. |
| Number 2. | Name Two mark example problems I | Type Other | Difficulty easy | Marks 4 m. | Description Try to divide using division algorithm of polynomials. |
| Number 3. | Name Two mark example problems II | Type Other | Difficulty easy | Marks 4 m. | Description Check your understanding skills in the concept of synthetic division. |
| Number 4. | Name Two mark example problems III | Type Other | Difficulty easy | Marks 4 m. | Description Check your understanding skills in the concept of factorization. |
| Number 5. | Name Two mark example problems IV | Type Other | Difficulty easy | Marks 6 m. | Description Try to find the GCD of the polynomials. |
| Number 6. | Name Two mark exercise problems I | Type Other | Difficulty easy | Marks 4 m. | Description Try to divide using division algorithm of polynomials. |
| Number 7. | Name Two mark exercise problems II | Type Other | Difficulty easy | Marks 4 m. | Description Try to divide using division algorithm of polynomials. |
| Number 8. | Name Two mark exercise problems III | Type Other | Difficulty easy | Marks 4 m. | Description Check your understanding skills in the concept of synthetic division. |
| Number 9. | Name Two mark exercise problems IV | Type Other | Difficulty medium | Marks 6 m. | Description Try to answer the given questions. |
| Number 10. | Name Two mark exercise problems V | Type Other | Difficulty medium | Marks 6 m. | Description Check your understanding skills in the concept of GCD. |
| Number 11. | Name Two mark exercise problems VI | Type Other | Difficulty medium | Marks 6 m. | Description Check your understanding skills in the concept of GCD. |
| Number 12. | Name Two mark exercise problems VII | Type Other | Difficulty medium | Marks 6 m. | Description Check your understanding skills in the concept of GCD. |
| Number 13. | Name Two mark exercise problems VIII | Type Other | Difficulty medium | Marks 6 m. | Description Check your understanding skills in the concept of GCD. |
| Number 14. | Name Five mark example problems I | Type Other | Difficulty medium | Marks 5 m. | Description Try to factorise the given expression. |
| Number 15. | Name Five mark example problems II | Type Other | Difficulty medium | Marks 5 m. | Description Try to factorize the given expression. |
| Number 16. | Name Five mark example problems III | Type Other | Difficulty medium | Marks 10 m. | Description Try to divide using division algorithm of polynomials. |
| Number 17. | Name Five mark example problems IV | Type Other | Difficulty medium | Marks 10 m. | Description Check your understanding skills in the concept of synthetic division. |
| Number 18. | Name Five mark exercise problems I | Type Other | Difficulty medium | Marks 10 m. | Description Check your understanding skills in the concept of division algorithm of polynomials. |
| Number 19. | Name Five mark exercise problems II | Type Other | Difficulty hard | Marks 10 m. | Description Try to answer the given questions. |
| Number 20. | Name Five mark exercise problem III | Type Other | Difficulty hard | Marks 10 m. | Description Check your understanding skills in the concept of synthetic division. |
| Number 21. | Name Five mark exercise problems IV | Type Other | Difficulty hard | Marks 10 m. | Description Try to answer the given questions. |
| Number 22. | Name Five mark exercise problems V | Type Other | Difficulty hard | Marks 10 m. | Description Try to answer the given questions. |
| Number 23. | Name Five mark exercise problems VI | Type Other | Difficulty hard | Marks 10 m. | Description Try to answer the given questions. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Say true or false | Type Other | Difficulty easy | Marks 1 m. | Description To check whether the given linear polynomial is a factor of the polynomial 'p(x)'. |
| Number 2. | Name Complete the sentence | Type Other | Difficulty easy | Marks 2 m. | Description To check whether the given linear polynomial is a factor of the polynomial 'p(x)'. |
| Number 3. | Name Divide the polynomial by monomial | Type Other | Difficulty easy | Marks 2 m. | Description Practice to divide a polynomial by a monomial. |
| Number 4. | Name Find the remainder when polynomial is divided by its factor | Type Other | Difficulty easy | Marks 2 m. | Description Practice to find the remainder of the polynomial when its factor is given. |
| Number 5. | Name Find the GCD | Type Other | Difficulty medium | Marks 2 m. | Description To practise how to find the GCD of the given polynomial. |
| Number 6. | Name Express the remainder by long division method | Type Other | Difficulty medium | Marks 2 m. | Description Attempt to find the remainder with the help of long division method. |
| Number 7. | Name Find the quotient | Type Other | Difficulty medium | Marks 2 m. | Description To find the quotient of a polynomial using synthetic division. |
| Number 8. | Name Find the remainder | Type Other | Difficulty medium | Marks 2 m. | Description To find the remainder of a polynomial using synthetic division. |
| Number 9. | Name Find out the factors | Type Other | Difficulty medium | Marks 2 m. | Description To find out the linear factors of the cubic polynomial using synthetic division. |
| Number 10. | Name Factorise the polynomial | Type Other | Difficulty hard | Marks 5 m. | Description To factorise the cubic polynomial into linear factors using synthetic division. |
| Number 11. | Name Calculate the remainder using long division method | Type Other | Difficulty hard | Marks 5 m. | Description Practice to find the remainder of the higher degree polynomial using long division method. |
| Number 12. | Name Find the remainder and quotient | Type Other | Difficulty hard | Marks 5 m. | Description Practice to find the remainder and the quotient when the polynomial is divided by binomial. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Determine the GCD | Type Other | Difficulty easy | Marks 2 m. | Description Check your understanding skills in the concept of GCD. |
| Number 2. | Name Find the quotient and remainder | Type Other | Difficulty easy | Marks 2 m. | Description Try to divide using division algorithm of polynomials. |
| Number 3. | Name Find the quotient and remainder using synthetic division | Type Other | Difficulty medium | Marks 2 m. | Description Check your understanding skills in the concept of synthetic division. |
| Number 4. | Name Determine the quotient and remainder by long division method | Type Other | Difficulty medium | Marks 5 m. | Description Try to divide using division algorithm of polynomials. |
| Number 5. | Name Determine the height of the parallelogram | Type Other | Difficulty medium | Marks 5 m. | Description Check your understanding skills in the concept of division algorithm of polynomials. |
| Number 6. | Name Find the value of p,q and remainder | Type Other | Difficulty hard | Marks 5 m. | Description Try to answer the given questions. |
| Number 7. | Name Factorize the expression | Type Other | Difficulty hard | Marks 5 m. | Description Try to answer the given questions. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Choose the best option | Type Other | Difficulty easy | Marks 1 m. | Description To check the factor of a quadratic polynomial using synthetic division. |
| Number 2. | Name Divide the polynomial by monomial | Type Other | Difficulty easy | Marks 2 m. | Description It is required to divide the polynomial by a monomial. |
| Number 3. | Name Divide the polynomial | Type Other | Difficulty medium | Marks 2 m. | Description Practice to divide the polynomial by binomial using long division method. |
| Number 4. | Name Find the quotient and the remainder | Type Other | Difficulty medium | Marks 2 m. | Description To find the quotient of a polynomial using synthetic division. |
| Number 5. | Name Prove the statement | Type Other | Difficulty medium | Marks 5 m. | Description To check whether (x-1) is a factor of the given polynomial series. |
| Number 6. | Name Activity! | Type Other | Difficulty hard | Marks 5 m. | Description To learn the concept of GCD based on a class room activity. |
| Number 7. | Name Find the value of 'a' and 'b' | Type Other | Difficulty hard | Marks 5 m. | Description To factorise the cubic polynomial and find the values of 'a' and 'b' using synthetic division. |
| Number 8. | Name Find the GCD | Type Other | Difficulty medium | Marks 2 m. | Description To practise how to find the GCD of the given polynomial. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Homework I | Recomended time: 00:15:00 | Difficulty easy | Marks 8 m. | Description |
| Number 2. | Name Homework II | Recomended time: 00:15:00 | Difficulty easy | Marks 10 m. | Description |
| Number 3. | Name Homework III | Recomended time: 00:15:00 | Difficulty easy | Marks 10 m. | Description |
| Number 4. | Name Homework IV | Recomended time: 00:20:00 | Difficulty easy | Marks 16 m. | Description |
| Number 5. | Name Homework V | Recomended time: 00:25:00 | Difficulty medium | Marks 17 m. | Description |
| Number 6. | Name Homework VI | Recomended time: 00:25:00 | Difficulty medium | Marks 20 m. | Description |
| Number 7. | Name Revision test I | Recomended time: 00:25:00 | Difficulty medium | Marks 20 m. | Description |
| Number 8. | Name Revision test II | Recomended time: 00:25:00 | Difficulty medium | Marks 21 m. | Description |
| Number 9. | Name Revision test III | Recomended time: 00:30:00 | Difficulty hard | Marks 24 m. | Description |
| Number 10. | Name Revision test IV | Recomended time: 00:30:00 | Difficulty hard | Marks 26 m. | Description |
| Number 11. | Name Revision test V | Recomended time: 00:35:00 | Difficulty hard | Marks 30 m. | Description |
| Number 12. | Name Revision test VI | Recomended time: 00:35:00 | Difficulty hard | Marks 30 m. | Description |
| Number 13. | Name Periodic Assessment | Recomended time: 00:10:00 | Difficulty medium | Marks 2 m. | Description PA 1 - Algebraic identities |
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