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Methodical recommendation:

Theory

Number Name Description
Number 1. Name Remainder theorem Description To learn how to find the factors using remainder theorem.
Number 2. Name Factor theorem Description To learn and understand the factor theorem.
Number 3. Name Mind map Description Try to learn the concept on how to find the remainder and factors of the polynomial.

Textbook Questions

Number Name Type Difficulty Marks Description
Number 1. Name Multiple choice questions I Type Other Difficulty easy Marks 3 m. Description Select the suitable choice for the given questions.
Number 2. Name Multiple choice questions II Type Other Difficulty easy Marks 3 m. Description Select the correct choice for the given questions.
Number 3. Name Two mark example problems I Type Other Difficulty easy Marks 6 m. Description Try to answer the given questions.
Number 4. Name Two mark example problems - II Type Other Difficulty easy Marks 6 m. Description Try to answer the questions by using factor theorem.
Number 5. Name Two mark example problems - III Type Other Difficulty easy Marks 2 m. Description Try to find the value of the variable.
Number 6. Name Two mark exercise problems I Type Other Difficulty medium Marks 6 m. Description Try to answer the given questions.
Number 7. Name Two mark exercise problems II Type Other Difficulty medium Marks 6 m. Description Try to find the remainder of the given polynomials.
Number 8. Name Two mark exercise problems III Type Other Difficulty medium Marks 6 m. Description Check your understanding skills in the concept of finding remainder and factor.
Number 9. Name Two mark exercise problems IV Type Other Difficulty medium Marks 8 m. Description Try to answer the given questions.
Number 10. Name Five mark example problems Type Other Difficulty hard Marks 5 m. Description Check your understanding skills in the concept of remainder theorem.
Number 11. Name Five mark exercise problems I Type Other Difficulty hard Marks 5 m. Description Try to answer the given questions.
Number 12. Name Five mark exercise problems II Type Other Difficulty hard Marks 0 m. Description Try to verify the given using factor theorem.

Practice Questions

Number Name Type Difficulty Marks Description
Number 1. Name Select the correct remainder of the polynomial Type Other Difficulty easy Marks 2 m. Description Practice to find the remainder of the polynomial using remainder theorem.
Number 2. Name Determine the value of 'k' Type Other Difficulty easy Marks 2 m. Description Try using the factor theorem to predict the unknown value of 'k'.
Number 3. Name Pick the remainder of the polynomial Type Other Difficulty medium Marks 2 m. Description Practice to find the remainder of the polynomial.
Number 4. Name Find the unknown Type Other Difficulty medium Marks 2 m. Description To find the unknown co-efficient of the variable of the given polynomial using factor theorem.
Number 5. Name Classify the divisor is a factor or not Type Other Difficulty medium Marks 2 m. Description Try to check whether the given divisor is a factor of the polynomial.
Number 6. Name Find an unknown value for 'k' Type Other Difficulty medium Marks 2 m. Description Try seeking the unknown value of 'k'.
Number 7. Name Identify the correct remainder Type Other Difficulty hard Marks 5 m. Description Practice to find the remainder of the polynomial by applying remainder theorem.
Number 8. Name Predict the remainder if the polynomial is divided by factor Type Other Difficulty hard Marks 5 m. Description Try to find out the remainder of the polynomial when it is divided by a factor.
Number 9. Name Check the dimension Type Other Difficulty hard Marks 5 m. Description Application to practise factor theorem of the polynomials.

Key Questions for School Exam Preparation

Number Name Type Difficulty Marks Description
Number 1. Name Verify whether the given is a factor of the polynomial Type Other Difficulty easy Marks 2 m. Description Try to answer the questions by using factor theorem.
Number 2. Name Check whether (p(x) is a multiple of (g(x)) Type Other Difficulty medium Marks 2 m. Description Try to answer the given questions.
Number 3. Name Find the value of 'm' Type Other Difficulty medium Marks 2 m. Description Try to answer the given questions.
Number 4. Name Determine the remainder Type Other Difficulty medium Marks 2 m. Description Try to find the remainder of the given polynomial.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
Number 1. Name Find out the remainder Type Other Difficulty easy Marks 2 m. Description Try to find the remainder of the polynomial with the help of remainder theorem.
Number 2. Name Predict the remainder of the polynomial Type Other Difficulty medium Marks 2 m. Description It is required to select the correct remainder of the polynomial when it is divided by the given factor.
Number 3. Name Check whether the divisor is a factor of the polynomial. Type Other Difficulty medium Marks 2 m. Description Endeavor and see whether the divisor is a factor of the polynomial.
Number 4. Name Verify whether the given divisor is a factor Type Other Difficulty medium Marks 2 m. Description See whether the given divisor is a factor of the polynomial.
Number 5. Name Get the remainder when polynomial is divided by a factor Type Other Difficulty hard Marks 5 m. Description Practice to find the remainder if the polynomial is divided by a factor.
Number 6. Name Applying the remainder theorem find the value of 'k' Type Other Difficulty easy Marks 2 m. Description Try to find the value of the variable.
Number 7. Name Find the remainder Type Other Difficulty medium Marks 2 m. Description Try to answer the given questions.
Number 8. Name Length of the rectangle Type Other Difficulty medium Marks 2 m. Description Check your understanding skills in the concept of division algorithm of polynomials.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
Number 1. Name Homework I Recomended time: 00:15:00 Difficulty easy Marks 10 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 medium Marks 10 m. Description
Number 4. Name Homework IV Recomended time: 00:20:00 Difficulty medium Marks 14 m. Description
Number 5. Name Revision test I Recomended time: 00:25:00 Difficulty medium Marks 16 m. Description
Number 6. Name Revision test II Recomended time: 00:25:00 Difficulty hard Marks 20 m. Description
Number 7. Name Revision test III Recomended time: 00:35:00 Difficulty hard Marks 24 m. Description
Number 8. Name Periodic Assessment Recomended time: 00:10:00 Difficulty medium Marks 6 m. Description PA 1 - Remainder theorem and factor theorem