anyone know how to solve it using synthetic division?
2007-12-10 14:34:12 · 4 answers · asked by stricking 2 in Science & Mathematics ➔ Mathematics
(x² - 1) / (x^4 - 1)
= (x² - 1) / ((x²)² - 1)
= (x² - 1) / ((x² + 1)(x² - 1))
= 1/(x² + 1)
.........x² + 1
.........______
x² - 1|x^4 - 1
.........x^4 - x²
.........-------------
.........x² - 1
.........x² - 1
.........---------
...............0
2007-12-10 14:37:24 · answer #1 · answered by gudspeling 7 · 1⤊ 0⤋
Or use factoring.....
1 / (x^2 + 1)
I don't know how to do synthetic division for expressions greater than one degree in the denominator. Try wikipedia. It teaches it, but I don't bother to look.
2007-12-10 22:37:56 · answer #2 · answered by UnknownD 6 · 1⤊ 0⤋
not sure about synthetic division, but
= (x-1)(x+1) / (x^2-1)(x^2+1)
= (x-1)(x+1) / (x-1)(x+1)(x^2+1)
= 1/(x^2+1)
2007-12-10 22:38:25 · answer #3 · answered by Jonathan S 2 · 0⤊ 0⤋
x^2-1/x^4-1
x-1 x+1
--------------------------------
x^2-1 x^2+1
(x-1)(X+1)(x^2+1)
THE 2 (x-1)(x+1) cancel out
1/ (x^2+1)
2007-12-10 22:40:05 · answer #4 · answered by Dave aka Spider Monkey 7 · 0⤊ 0⤋