UPSKILL MATH PLUS
Learn Mathematics through our AI based learning portal with the support of our Academic Experts!
Learn moreMethodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction to polynomials | Let us recall about polynomials. |
| 2. | Polynomials in one variable | Learn the concept of polynomials in one variable with examples. |
| 3. | Terms and coefficient of polynomial | Begin to understand the polynomial terms and coefficient using example. |
| 4. | Polynomial degree and algebraic expression | Learn the degree of polynomials and algebraic expression using a few appropriate examples. |
| 5. | Addition of polynomial | Learn the addition of algebraic expression. |
| 6. | Subtraction of polynomial | Learn the subtraction of the algebraic expression. |
| 7. | Multiply polynomials by horizontal method. | Learn the multiplication using the polynomials (Horizontal method). |
| 8. | Multiply polynomials by column method | Learn the multiplication of polynomials (column method). |
| 9. | Mind map | Let us look at the mind map of the types and operations of polynomials. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question - I | Other | easy | 3 m. | Try to choose the correct option. |
| 2. | Multiple choice question - II | Other | easy | 3 m. | Try to choose the correct option. |
| 3. | Two mark example problems - I | Other | easy | 10 m. | Try to classify the type of polynomial. |
| 4. | Two mark example problems - II | Other | easy | 8 m. | Try to find the type of polynomial based on their degree. |
| 5. | Two mark example problems - III | Other | easy | 6 m. | Try to solve the given polynomials using arithmetic operations on polynomials. |
| 6. | Two mark exercise problems - I | Other | easy | 12 m. | Try to determine the given expressions are polynomials or not. |
| 7. | Two mark exercise problems - II | Other | easy | 10 m. | Try to find the required coefficients. |
| 8. | Two mark exercise problems - III | Other | easy | 10 m. | Try to find the degree of the polynomials. |
| 9. | Two mark exercise problems - IV | Other | medium | 8 m. | Try to write the standard form of the given polynomials. |
| 10. | Two mark exercise problems - V | Other | medium | 6 m. | Check your understanding skills in the concept of adding the polynomials. |
| 11. | Two mark exercise problems - VI | Other | medium | 6 m. | Check your understanding skills in the concept of subtracting the polynomials. |
| 12. | Two mark exercise problems - VII | Other | medium | 4 m. | Try to answer the given questions. |
| 13. | Two mark exercise problems - VIII | Other | medium | 6 m. | Check your understanding skills in the concept of multiplying the polynomials. |
| 14. | Two mark exercise problems - IX | Other | medium | 2 m. | Try to answer the given questions. |
| 15. | Five mark example problems | Other | medium | 5 m. | Try to answer the given questions. |
| 16. | Five mark exercise problems - I | Other | hard | 5 m. | Try to answer the given questions. |
| 17. | Five mark exercise problems - II | Other | hard | 5 m. | Check your understanding skills in the concept of solving the polynomials using arithmetic operations. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Identify the type of polynomial | Other | easy | 2 m. | To practise the types of polynomials. |
| 2. | Determine the expression is a polynomial in one variable or not | Other | easy | 2 m. | To check whether the given algebraic expression is polynomial in one variable or not. |
| 3. | Write the required coefficients | Other | easy | 2 m. | Aim to write and pick the coefficient of 'x²' in the given polynomial. |
| 4. | Add the given polynomials | Other | easy | 2 m. | Practice the addition of polynomial expression using column method. |
| 5. | Subtract the polynomials | Other | easy | 2 m. | Practice to find the difference between two polynomial expression. |
| 6. | Evaluate the polynomial in one variable | Other | medium | 4 m. | To evaluate whether or not the following is polynomial in one variable. |
| 7. | Predict the coefficient of the required term | Other | medium | 4 m. | Aim to write and pick the coefficient of the polynomial 'x³'. |
| 8. | Classify whether it is linear, quadratic or cubic | Other | medium | 4 m. | It is required to check the polynomials as linear, quadratic or cubic. |
| 9. | Find the product of the polynomials | Other | medium | 5 m. | Practice to find the product of the expressions by horizontal method. |
| 10. | Multiply polynomials to find area | Other | hard | 5 m. | Simply multiply the polynomial in given question. |
| 11. | Simplify the polynomials | Other | hard | 5 m. | Practice to add algebraic expressions and simplify it. |
| 12. | Evaluate the difference of the polynomials | Other | hard | 5 m. | Practice to subtract the given expression. |
| 13. | Calculate the product of the polynomial expression | Other | hard | 5 m. | It is required to multiply the two polynomial expressions. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Add the polynomials | Other | easy | 2 m. | Check your understanding skills in the concept of adding the polynomials. |
| 2. | Calculate the polynomial | Other | medium | 2 m. | Try to answer the given question. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Identify the required coefficients | Other | easy | 2 m. | Try to write the required polynomial coefficient. |
| 2. | Examine the degree of the polynomials | Other | easy | 2 m. | To specify the degree of the polynomials. |
| 3. | Classify whether it is monomial, binomial or trinomial | Other | easy | 4 m. | Try to classify as monomial, binomial or trinomial the following polynomials. |
| 4. | Find the resultant product | Other | medium | 5 m. | Use the suitable method to multiply the polynomials. |
| 5. | Find the perimeter | Other | medium | 5 m. | Simply add the polynomial in given question. |
| 6. | Multiply the polynomials | Other | hard | 5 m. | Use the suitable method to find the product of two polynomials. |
| 7. | Degree of the polynomial | Other | easy | 2 m. | Try to find the degree of the polynomials. |
| 8. | Sum of the polynomials | Other | medium | 2 m. | Check your understanding skills in the concept of adding the polynomials. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:15:00 | easy | 10 m. | |
| 2. | Homework II | 00:15:00 | easy | 11 m. | |
| 3. | Homework III | 00:20:00 | medium | 17 m. | |
| 4. | Homework IV | 00:25:00 | medium | 18 m. | |
| 5. | Revision test I | 00:25:00 | medium | 20 m. | |
| 6. | Revision test II | 00:25:00 | medium | 20 m. | |
| 7. | Revision test III | 00:30:00 | hard | 23 m. | |
| 8. | Revision test IV | 00:40:00 | hard | 32 m. | |
| 9. | Revision test V | 00:40:00 | hard | 32 m. | |
| 10. | Periodic Assessment | 00:10:00 | medium | 4 m. | PA 1 - Introduction to Arithmetic of polynomials |
Register for free to see more content