Question

Find the value of 'k' if.
8x³ - 5x²-kx-12 Leaves remainder-10 when divided by x +3.
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Answer 1

Step-by-step explanation:

p(x) = 8x³ - 5x² - Kx - 12

g(x) = x + 3 => x = -3

given p(-3) = -10

=> 8(-3)³ - 5(-3)² - k(-3) - 12 = -10

=> 8(-27) - 5(9) + 3k - 12 = -10

=> -216 - 45 + 3k - 12 = -10

=> 3k = -10 + 12 + 45 + 216

=> 3k = 263

=> k = 263/3