1 przykład Wielomiany

tdk1992 · Post autor: **tdk1992** » 14 kwie 2010, o 19:46

\(\displaystyle{ \frac{2x^{3} - 2}{x^{2} -5x -14}}\) : \(\displaystyle{ \frac{x ^{2} + x + 1}{x ^{2} -14x + 49}}\)

agulka1987 · Post autor: **agulka1987** » 14 kwie 2010, o 20:05

\(\displaystyle{ \frac{2x^{3} - 2}{x^{2} -5x -14} : \frac{x ^{2} + x + 1}{x ^{2} -14x + 49} = \frac{2x^{3} - 2}{x^{2} -5x -14} \cdot \frac{x ^{2} -14x + 49}{x ^{2} + x + 1} = \frac{2(x-1)(x^2+x+1)}{(x+2)(x-7)} \cdot \frac{(x-7)^2}{x ^{2} + x + 1} = \frac{2(x-1)(x-7)}{x+2}}\)