Mathematics 2012 JAMB Past Questions - Question 12: find the remainder when 2x³ - 11x² + 8x -1 is divided byx + 3

Correct Answer

D

Explanation

Hence f (x) = 2x sup3 - 11x sup2 +8x -1therefore f(-3) = 2(-3) -11(-3) +8(-3)-1 = -178To find the remainder when the polynomial 2x³ - 11x² + 8x - 1 is divided by x + 3, we can use the synthetic division method.First, we set up the synthetic division table:-3 | 2 -11 8 -1Next, we bring down the coefficient of the highest power of x, which is 2:-3 | 2 -11 8 -1      -6   51 -177We then multiply -3 by -6 and add the result to -11, and continue the process:-3 | 2 -11 8 -1      -6   51 -177____________________      2 -17 59 -178The last number in the bottom row, -178, represents the remainder.Therefore, the remainder when 2x³ - 11x² + 8x - 1 is divided by x + 3 is -178.