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

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Q. 2. For what value of k,the HCF of x2 + x-2(k + 1)and (2x+ kx-12) is (x+4). Q. 3. if (x - k) is the HCF of (x+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 x - 4x + 3. Q. 5. If (x-3) is the HCF of (x3 - 2x + px + 6) and (x - 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 (x - 2x-3). Q. 7. If (x + 1) (x-4) is the HCF of the polynomial (x-4) (2x + x- a) and (x + 1) (2x + 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(x -x + 1) respectively. If p(x) = 28 (x + 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 (x-9)(x - 3x + 2). If P(x) = 10 (x - 9) (x - 1) find q(x). Q. 10. The HCF of the polynomial P(x) = (x-3)(x+x-2) and Q(x)=(x -5x+6), find the LCM of P(x) and Q(x). Q. 2. For what value of k,the HCF of x2 + x-2(k + 1)and (2x+ kx-12) is (x+4). Q. 3. if (x - k) is the HCF of (x+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 x - 4x + 3. Q. 5. If (x-3) is the HCF of (x3 - 2x + px + 6) and (x - 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 (x - 2x-3). Q. 7. If (x + 1) (x-4) is the HCF of the polynomial (x-4) (2x + x- a) and (x + 1) (2x + 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(x -x + 1) respectively. If p(x) = 28 (x + 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 (x-9)(x - 3x + 2). If P(x) = 10 (x - 9) (x - 1) find q(x). Q. 10. The HCF of the polynomial P(x) = (x-3)(x+x-2) and Q(x)=(x -5x+6), find the LCM of P(x) and Q(x).