SOLUTION: The polynomial s kx^3+3x^2-8 and 3x^3-5x+k are divided by x+2 if the remainder in each case is the same, find the value of 𝑘.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The polynomial s kx^3+3x^2-8 and 3x^3-5x+k are divided by x+2 if the remainder in each case is the same, find the value of 𝑘.      Log On


   

Question 1077623: The polynomial s kx^3+3x^2-8 and 3x^3-5x+k are divided by x+2 if the remainder in each case is the same, find the value of 𝑘.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Results of the synthetic divisions (as if checking -2 as a root) will give remainder -8k%2B4 for the first polynomial, and k-14 for the second polynomial.

These remainders were given as equal, or the same:
-8k%2B4=k-14

-9k=-14%2B4
9k=14-4
9k=10

highlight%28k=10%2F9%29