f(x)=x^10-x^8+x^6-x^4+x^2-1

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Solution for f(x)=x^10-x^8+x^6-x^4+x^2-1 equation: 


Simplifying
f(x) = x10 + -1x8 + x6 + -1x4 + x2 + -1

Multiply f * x
fx = x10 + -1x8 + x6 + -1x4 + x2 + -1

Reorder the terms:
fx = -1 + x2 + -1x4 + x6 + -1x8 + x10

Solving
fx = -1 + x2 + -1x4 + x6 + -1x8 + x10

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'x'.
f = -1x-1 + x + -1x3 + x5 + -1x7 + x9

Simplifying
f = -1x-1 + x + -1x3 + x5 + -1x7 + x9

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