POLYNOMIALS CLASS 9TH TO 12TH CBSE BOARD, Exercises of Mathematics

Download POLYNOMIALS CLASS 9TH TO 12TH CBSE BOARD and more Exercises Mathematics in PDF only on Docsity! CBSE Test Paper 01 CH-2 Polynomials 1. If p(x) = x + 3, then p(x) + p(-x) is equal to a. 2x b. 3 c. 0 d. 6 2. If x+y+z = 0, then a. 3xyz b. xyz c. 2xyz d. 0 3. The degree of constant function is a. 0 b. 3 c. 1 d. 2 4. (x + 1) is a factor of the polynomial a. b. c. d. 5. The coefficient of ‘x’ in the expansion of is a. 1 b. 27 c. 9 d. 18 6. Fill in the blanks: A polynomial containing one non-zero term is called a ________. 7. Fill in the blanks: The highest power of the variable in a polynomial is called the ________ of the polynomial. 8. Write (-3x + y + z)2 in the expanded form: 9. Evaluate the following by using identities: 0.54 0.54 - 0.46 0.46 10. Evaluate: 185 185 - 15 15 11. Evaluate 105 108 without multiplying directly. 12. Simplify (x + y)3 - (x - y)3 - 6y(x + y) (x - y). 13. Factorize : (a2 - b2)3 + (b2 - c2)3 + (c2 - a2)3 14. If both x - 2 and are factors of px2 + 5x + r, show that p = r. 15. If the polynomials az3 + 4z2 + 3z - 4 and z3 - 4z + a leave the same remainder when divided by z - 3, find the value of a.