Asked by Anonymous
Find the constant c such that the denominator divides evenly into the numerator.
(x^4 - 3x^2 + c)/( x+6)
(x^4 - 3x^2 + c)/( x+6)
Answers
Answered by
Reiny
I did a synthetic division (or you can do a long algebraic division) to get a remainder of (c+1188)
So for the division to be exact,
x+1188 = 0
c = - 1188
http://www.wolframalpha.com/input/?i=%28x%5E4+-+3x%5E2+-1188%29%2F%28+x%2B6%29
look at "quotient and remainder" result
So for the division to be exact,
x+1188 = 0
c = - 1188
http://www.wolframalpha.com/input/?i=%28x%5E4+-+3x%5E2+-1188%29%2F%28+x%2B6%29
look at "quotient and remainder" result
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