2017 · Q7
If 5x³+5x²-6x+9 is divided by (x+3), then the remainder is
Elementary MathematicsAlgebra
- A135
- B-135
- C63
- D-63
Explanation
By the remainder theorem, division by (x+3) leaves remainder p(−3). Substituting: 5(−27)+5(9)−6(−3)+9 = −135+45+18+9 = −63. Hence option (D) −63. (Trap: evaluating at x = +3 gives 135.)