CBSE Important Questions

Mathmatics Class X

Index

Q. 1 . Find the HCF and LCM

  1. 12(9x2 - 4) and 18 (6x2 - 5x - 6)
  2. (18x3 + 45 x2 - 27x) and (15x4 - 135 x2)
  3. 18(x3- x2+ x - 1) and 12(x4 - 1)
  4. 42(2x3 - 5x2 - 3x) and 60(8x4 + x)
  5. 8(x4-16) and 12(x3-8)
  6. (2x4 - 2y4) and (3x3 + 6x2 - 3xy2 - 6y3)
  7. (x4 - 1 ) and (x3 + x2 + x + 1)
  8. 36(3x4+5x3-2x2) and 54(27x4-x)
  9. (x3 - 1) and (x4 + x2 + 1)
  10. (x2 + x - 2) and (x3 + 4x2 + x - 6)
  11. (x4 - y4) and (x6 - y6)
  12. (6x4 - 13x3 + 6x2) and (8x4 - 36x3 + 54x2 - 27x)

Q. 2. For what value of k,the HCF of x2 + x - 2(k + 1)and (2x2 + kx - 12) is (x + 4).

Q. 3. if (x - k) is the HCF of (x2 + x - 12) and (2x2 - kx - 9) find the value of k.

Q. 4. Find the value of a and b so that x3 + ax2 + bx - 6 is completely divisible by x2 - 4x + 3.

Q. 5. If (x - 3) is the HCF of (x3 - 2x2 + px + 6) and (x2 - 5x + q) find the value of (6p +5 q).

Q. 6. Find the value of a and b so that f(x) = 3x3 + ax2 - 13x + b is divisible by (x2 - 2x - 3).

Q. 7. If (x + 1) (x - 4) is the HCF of the polynomial (x - 4) (2x2 + x - a) and (x + 1) (2x2 + bx - 12), find a and b.

Q. 8. The HCF and LCM of two polynomial p(x) and q(x) are 56(x4 + x) and 4(x2 - x + 1) respectively. If p(x) = 28 (x3 + 1) find q(x).

Q. 9. The HCF and LCM of the polynomial P(x) and Q(x) are respectively 5(x + 3) (x - 1) and 20 x (x2 - 9)(x2 - 3x + 2). If P(x) = 10 (x2 - 9) (x - 1) find q(x).

Q. 10. The HCF of the polynomial P(x) = (x - 3)(x2 + x - 2) and Q(x)=(x2 - 5x + 6), find the LCM of P(x) and Q(x).

Q. 11. (x2 + x - 2) is the HCF of the expression (x - 1)(2x2 + ax + 2) and (x + 2)(3x2 + bx + 1). Find the value of a and b.

Q. 12. If ( x + 3) (x - 2) is the G.C.D of f(x)=(x + 3)(2x2 - 3x + a) and g(x)=(x - 2)(3x2 + 10x - b) Find the value of a and b.

Q. 13. Find the L.C.M of the polynomials: x(8x2 + 27) and 2x2(2x2 + 9x + 9).

Q. 14. if (x - 1)(x + 4) is the HCF of the polynomials

P(x)= (x2 + 2x - 3) (2x2 + 5x + a) and Q(x) = (x2 + x - 12) ( 3x2 - x + b) find the value of a and b

Q. 15. If the HCF of P(x) = ( 2x2 - x - 1) (px2 + 8x - 3) and Q(x) = (x2 + x - 6) (3x2 + qx - 1)is (x2 + 2x - 3) , find the values of p and q.

Paper By: Mr. Manish Jha
Index