CBSE Guess > Papers > Important Questions > Class X > Maths > Mathematics By Mr. Sanjay Kumar

Chapter - 2

Q. 16. Find the HCF of the polynomials: f(x) = 6 (x³ + 3x²) (x² - 16) (x² + 9x + 18) and g(x) = 8 (x⁴ + 4x³) (x² + 6x + 9)².

Q. 17. Find the HCF of the polynomials: f(x) = 9 (x⁴ – 1) (x + 5) and g(x) = 6 (x² – 1) (x²+ 2x + 1) (x² + 25).

Q. 18. Find the HCF of the polynomials: f(x) = 8 (x³ – x² + x) (x³ – 8) and g(x) = 28 (x³ + 1) (x² – 4).

Q. 19. Find the G.C.D. of the polynomials: f(x) = 2x⁴ – 2y⁴ and g(x) = 3x³ + 6x²y – 3xy² – 6y³.

Q. 20. Find the L.C.M. of the polynomials: f(x) = 11x³ (x + 1)³ and g(x) = 121x (2x² + 3x + 1).

Q. 21. Find the L.C.M. of the polynomials: f(x) = 35 (x⁴ – 27x) and g(x) = 40 (2x³ - 5x² - 3x).

Q. 22. Find the L.C.M. of the polynomials: f(x) = 15x³ - 75x² - 90x and g(x) = 6x⁴ – 18x³ – 108x².

Q. 23. The GCD and LCM of two polynomials are (x – 7) and (x³ - 10x²+ 11x + 70). If one is (x² - 5x - 4), find the other.

Q. 24. If (x + 3) (x - 2) is the HCF of the polynomials f(x) = (x + 3) (2x²– 3x + p) and g(x) = (x - 2) (3x² + 10x - q), find p, q.

Q. 25. For what value of k the HCF of x² + x - (2k + 2) and (2x² + kx - 12) is (x + 4)?