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sqdancefan

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Answer:

  k = 3

Step-by-step explanation:

Using synthetic division, we see the remainder from division by (x-1) is 3-k. In order for (x-1) to be a factor, that remainder must be zero.

  3 -k = 0

  3 = k

The value of k is 3.

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Answer:

k=3

Step-by-step explanation:

If x-1 is a factor of f(x), then f(1) = 0.

f(x) = x^3 - kx^2 + 2x

f(1) = (1)^3 - k(1)^2 + 2(1) = 0

Now, solve for k

(1)^3 - k(1)^2 + 2(1) = 0

1 - k + 2 = 0

-k = -3

k = 3