WAEC - Further Mathematics (2011 - No. 5)
Find the remainder when \(5x^{3} + 2x^{2} - 7x - 5\) is divided by (x - 2).
-51
-23
29
49
Објашњење
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