Find the greatest common divisor
f(x) = x^5 − 2x^4 − 3x^3 − 15x^2 + 10x + 25
g(x) = x^4 − 6x^2 − 24^x − 35
using the polynomial long division
f(x) / g (x)
i ended up with 3x^3 + 135 x^2 -513x -815
couldn't factorise further !
the step after that
x^4 − 6x^2 − 24^x − 35 / 3x^3 + 135 x^2 -513x -815
and the answer was -13275x^2 -53578x+9150
but I don't know what should I do after that to get the gcd ,
and I'm not sure if my work is alright ..
any help ?
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- Thread Starter
- 05-02-2010 03:49
- 05-02-2010 08:50
I get different answers - but it still leads to these polynomials being coprime (if that's the right word).
Are you certain you have the coefficients right?
- 05-02-2010 09:11
By inspection, (x+1) is a factor of the quintic - I get (x^4 - 3x^3 - 15x + 1) as the other.