x-1 divided by x^4+6x^3-12x^2-38x+21
You asked:
Evaluate the expression: \(x - \frac{1}{{x}^{4}} + 6 {x}^{3} - 12 {x}^{2} - 38 x + 21\)
MathBot Answer:
Evaluated
\(\displaystyle x - \frac{1}{{x}^{4}} + 6 {x}^{3} - 12 {x}^{2} - 38 x + 21 = 6 x^{3} - 12 x^{2} - 37 x + 21 - \frac{1}{x^{4}} \)
Factored
\[x - \frac{1}{{x}^{4}} + 6 {x}^{3} - 12 {x}^{2} - 38 x + 21 = \frac{6 x^{7} - 12 x^{6} - 37 x^{5} + 21 x^{4} - 1}{x^{4}}\]