SOLUTION: Find the value of k that will make x-2 a factor of x<sup>4</sup>-3x<sup>3</sup>+4x<sup>2</sup>+2x+k

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the value of k that will make x-2 a factor of x<sup>4</sup>-3x<sup>3</sup>+4x<sup>2</sup>+2x+k       Log On


   

Question 70114: Find the value of k that will make x-2 a factor of x4-3x3+4x2+2x+k
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!

Find the value of k that will make x-2
a factor of x4-3x3+4x2+2x+k


Use synthetic division
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  2 | 1  -3   4   2   k
    |     2  -2   4  12  
      1  -1   2   6  k+12

Set the remainder k+12 equal to zero 
and solve for k

   k + 12 = 0
        x = -12

Edwin