Solve for "K" in the following polynomials given the binomial that is a factor of the polynomial (using synthetic division)

x^3 - kx^2 + 54x -20 (x-5)

Question

Solve for "K" in the following polynomials given the binomial that is a factor of the polynomial (using synthetic division)

x^3 - kx^2 + 54x -20        (x-5)

accessdenied · Answer

5 |   1           -k                  54                   -20
                     5            -5k + 25           -25k + 395
---------------------------------------------
       1       -k + 5         -5k + 79           -25k + 375

dividing the original polynomial by (x-5) should yield a 0-remainder.

-25k + 375 = 0
-25k = -375
k = 15

anonymous · Answer

thank you so much!