Question

If x^3-6x^2+6x+k is completely divisible by x-3 find k

Answer 1

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Answer:

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Answer 2

Answer

x - 3 = 0

x = 0

p(x) = x^3 - 6x^2 + 6x + k

p(3) = 0

=> (3)^3 - 6(3)^2 + 6(3) + k = 0

=> 27 - 54 + 18 + k = 0

=> k = 54 - 45

=> k = 9