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)?
Chapter 1 | Chapter 2 | Chapter 3 |
Chapter 4 | Chapter 5 | Chapter 6 |
Chapter 7 | Chapter 8 | Chapter 9 |
Chapter 10 | Chapter 11 | Chapter 12 |
Chapter 13 | Chapter 14 | Chapter 15 |
Chapter 16 |