+130458 Using polynomial division, we have
x^2 - (1/3)x + (26/9)
3x - 4 [ 3x^3 - 5x^2 + 10x - 3]
3x^3 - 4x^2
------------------
-1x^2 + 10x
-1x^2 +(4/3)x
-------------------
(26/3)x - 3
(26/3)x - (104/9)
---------------------
(77/9)
So.....the answer is.......... [ x^2 - (1/3)x + (26/9) ] + [ 77/9]/[3x - 4]
-3/(-4 + 3 x) + (10 x)/(-4 + 3 x) + (-5 x^2)/(-4 + 3 x) + (3 x^3)/(-4 + 3 x)
(-3 + x (10 + x (-5 + 3 x)))/(-4 + 3 x)
(3 - 10 x + 5 x^2 - 3 x^3)/(4 - 3 x)
+130458 Using polynomial division, we have
x^2 - (1/3)x + (26/9)
3x - 4 [ 3x^3 - 5x^2 + 10x - 3]
3x^3 - 4x^2
------------------
-1x^2 + 10x
-1x^2 +(4/3)x
-------------------
(26/3)x - 3
(26/3)x - (104/9)
---------------------
(77/9)
So.....the answer is.......... [ x^2 - (1/3)x + (26/9) ] + [ 77/9]/[3x - 4]
+26396 (3x^3-5x^2+10x-3)/(3x-4)
In mathematics, Horner's method (also known as Horner scheme in the UK or Horner's rule in the U.S.) an algorithm for calculating polynomials
see: https://en.wikipedia.org/wiki/Horner%27s_method#cite_note-HornerRule-2
f1(x)=3x3−5x2+10x−3f2(x)=3x−4Divide f1(x) by f2(x) using Honer's method
33−510−344−434⋅2691−1⋅13263⋅13779
1⋅x2−13⋅x+269+779(3x−4)
