2012 · Q24
If two factors of a^4 - 2a^3 - 9a^2 + 2a + 8 are (a + 1) and (a - 1), then what are the other two factors?
Elementary MathematicsAlgebra
- A(a - 2) and (a + 4)
- B(a + 2) and (a + 4)
- C(a + 2) and (a - 4)
- D(a - 2) and (a - 4)
Explanation
Dividing by (a^2-1) leaves quotient a^2-2a-8 = (a+2)(a-4).