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