2024 · Q23
What is the HCF of x⁴ - 13x²y² - 300y⁴, x³ - 4x²y - 4xy² - 5y³ and x³ - 125y³ ?
Elementary MathematicsHCF and LCM
- Ax - 5y
- Bx + 5y
- Cx² + 5xy + 25y²
- D1
Explanation
Putting x = 2, y = 1, the three polynomials evaluate to −336, −21 and −117, whose HCF is 3. This corresponds to the factor x − 5y, which equals −3 at x = 2, y = 1. Hence the HCF is option (a).