Question 1061343: X-3 is a factor of x to the 4th -3x to the 3 + kx to the 3rd + 3 what is the value of k Found 2 solutions by josgarithmetic, ikleyn:Answer by josgarithmetic(39620) (Show Source):
The setup to do as synthetic division looks like this:
This is like checking the root of 3.
3 | 1 k-3 0 0 3
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| 3 3k 9k 27k
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1 k 3k 9k 27k+3
The remainder of 27k+3 is 0, because we are given in the description the essential fact that 3 is a root of the given described polynomial; that x-3 is a factor of the polynomial.
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