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MATHEMATICS

JAMB 2006 - Question 43

Mathematics 2006 JAMB Past Questions - Question 43: find the value of K if the expression Kx³ + x² - 5x – 2 leaves a remainder 2 when it is divided by 2x + 1.

Choose the most appropriate option for the gap .

find the value of K if the expression Kx³ + x² - 5x – 2 leaves a remainder 2 when it is divided by 2x + 1.

A: 10

B: 8

C: -10

D: -8

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Correct Answer

Explanation

2x + 1 =0 → x = ¯½ sub .K (¯½)³ + (¯½)² - 5 (¯½) – 2 = 2. –k/8 + ¼ + 5/2 -2/1 = 2 → -k/8 = 4/1¹∕₄ - ⁵⁄₂= 16-1 – 10 /4 → -k/8 = 5/4 → -4k = 40 → k = -10