SOLUTION: 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

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): You can put this solution on YOUR website!
gives remainder of 0 if divided by .

Dividend is .

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 | | 3 3k 9k 27k |________________________________________________________________ 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.

Answer by ikleyn(52804) (Show Source): You can put this solution on YOUR website!
.
Hello,

it is NOT A WAY to represent the condition as you do.

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