Q1. Which of the following expressions are polynomials? Give reason. (i) (ii) (iii) Q2. Write the coefficient of (i) (ii) (iii) Q3. Give an example of (i) a trinomial of degree . (ii) a monomial of degree (iii) a binomial of degree Q4. . . Verify whether the following are the zeroes of the polynomial, indicated against them. (i) (ii) (iii) Q5. Evaluate: Q6. Find the remainder when Q7. Using the remainder theorem, find the remainder when divided by is divisible by . is and verify the result by actual division. Q8. Using factor theorem, show that Q9. For what value of Q10. Show that is a factor of is the polynomial © Copyright 2011 - 12 Educomp Solutions Ltd. are the factors of . is divisible by ? . Page 1 of 4 Q11. Factorise: Q12. Factorise: Q13. Split the middle term and factorise the following: (i) (ii) Q14. Factorise Q15. Also write the identity used. Using suitable identity, evaluate . Q16. Factorise: Q17. Find the product using a suitable identity, write the identity also. Q18. Factorise: Q19. If , by using an identity find the value of Also write the identity used. Q20. Write the expansion of © Copyright 2011 - 12 Educomp Solutions Ltd. . Page 2 of 4 Answers A1. An expression of the form where are real numbers and polynomial. Therefore, (i) (ii) (i) A3. (i) is a polynomial. is not a polynomial since the exponents of (iii) A2. is a non-negative integer is called a is not a polynomial since the exponents of (ii) in is not an integer. in the term . (iii) (ii) (iii) A4. (i) Yes (ii) No (iii) Yes A5. A6. A7. A8. Hint: By factor theorem, will be a factor of if . A9. A10. Hint: a will be a factor of if A11. A12. A13. (i) (ii) © Copyright 2011 - 12 Educomp Solutions Ltd. Page 3 of 4 A14. Identify: A15. A16. A17. A18. Identity: If Identity: If then A19. Identity: A20. Identity: © Copyright 2011 - 12 Educomp Solutions Ltd. Page 4 of 4