Find the value of k such that X - 6 is a factor of x³ - kx² + 2kx - 24. A)k = 6 B)k = 10 C)k = 8 D)k = 7 E)k = 9

Name: Find the value of k such that X - 6 is a factor of x 3 - kx 2 + 2kx - 24. A)k = 6 B)k = 10 C)k = 8 D)k = 7 E)k = 9
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Question

Quizplus · Accepted Answer

If X - 6 is a factor, then we can set x = 6 and solve for k. Plugging in x = 6, we get: 6³ - k6² + 2k(6) - 24 = 0 Simplifying this equation, we get: 216 - 6k(36) + 12k - 24 = 0 216 - 216k + 12k - 24 = 0 -204k = -192 k = 8 Therefore, the correct answer is C) k = 8.

Find the Value of K Such That ​

Find the Value of K Such That