CT 8: LCM & HCF – II

1.HCF of (x² + 4x + 4) and (3x² - 12) is

2. If the HCF of x3 − 27 and x3 + 4x2 + 12x + k is a quadratic polynomial, then what is the value of k?

3. What is the HCF of (x³ - 4x² + x + 6) and (x³ - x² - 10x - 8)?

4. What is the HCF of 36(3x⁴ + 5x³ - 2x²), 9(6x³ + 4x² - 2x), 54(27x⁴ - x)?

5. What is the H.C.F of 4x²y, 16xy³, 2x³y³

6. If (x − 6) is the HCF of x² − 2x− 24 and x² − kx − 6, then what is the value of k?

7. What is the HCF of (x⁴ - y⁴) and (x⁶ - y⁶) ?

8. If P = ab² and Q = a²b, where a and b are prime numbers then HCF & LCM of P and Q (respectively) are:

9. P = 25 × 38 and  Q = 23 × 3K . If the highest common factor of P and Q is 2³ × 3³, then what is the value of K ?

10. What is the LCM of (8x³ + 80x² + 200x) and (4x⁴ + 16x³ - 20x²)?