2009 · Q95
If the remainder of the polynomial a 0 + a 1 x + a 2 x 2 +,………+ a n x n when divivded by (x – 1) is 1, then which one of the following is correct?
Elementary MathematicsAlgebra
- Aa 0 + a 2 +………. = a 1 + a 3 +………..
- Ba 0 + a 2 + … = 1 + a 1 + a 3 +……..
- C1 + a 0 + a 2 +……. (a 1 + a 3 + …)
- D1 – a 0 – a 2 -…….. = a 1 + a 3 + …
Explanation
Remainder is P(1) = a₀ + a₁ + ⋯ = 1.