2009 · Q92
If (x + 2) is the HCF of x2 + ax + b and x2 + cx + d (a ≠ c and b ≠ d), then which one of the following is correct?
Elementary MathematicsAlgebra
- Aa + c =b + d
- B2a + b = 2c + d
- Cb +2c = 2a+ d
- Db – 2c = 2a-d
Explanation
x = −2 is a root of both: b = 2a − 4, d = 2c − 4, giving b + 2c = 2a + d.