2018 · Q24
The remainder when 3x³ -2x²y-13xy²+10y³ is divided by (x - 2y) is equal to
Elementary MathematicsAlgebra
- A0
- By
- Cy - 5
- Dy + 3
Explanation
By the remainder theorem, substitute x = 2y: 3(2y)^3 - 2(2y)^2 y - 13(2y)y^2 + 10y^3 = 24y^3 - 8y^3 - 26y^3 + 10y^3 = 0. The remainder is therefore 0. Hence option A.