Find the remainder when \(5x^{3} + 2x^{2} - 7x - 5\) is divided by (x
FURTHER MATHEMATICS
WAEC 2011
Find the remainder when \(5x^{3} + 2x^{2} - 7x - 5\) is divided by (x - 2).
- A. -51
- B. -23
- C. 29
- D. 49
Correct Answer: C. 29
Explanation
Using remainder theorem, the remainder when \(5x^{3} + 2x^{2} - 7x -5\) is divided by (x - 2) = f(2)
\(f(2) = 5(2^{3}) + 2(2^{2}) - 7(2) -5 = 40 + 8 - 14 - 5\)
= 29
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