SOLUTION: the polynomial (ax^3+3x^2-3) and (2x^3-5x+a) when divided by (x-4)leave the same remainder find the value of a

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: the polynomial (ax^3+3x^2-3) and (2x^3-5x+a) when divided by (x-4)leave the same remainder find the value of a      Log On


   

Question 440046: the polynomial (ax^3+3x^2-3) and (2x^3-5x+a) when divided by (x-4)leave the same remainder find the value of a
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Dividing %28ax%5E3%2B3x%5E2-3%29%2F%28x-4%29. We find the remainder:16%283%2B4a%29-3, and
dividing %282x%5E3-5x%2Ba%29%2F%28x-4%29, find the remainder:108%2Ba, since the
remainders are equal we write:16%283%2B4a%29-3=108%2Ba. Solving this linear
equation find a=1.
Done.