3x^5+3x^3-x^2-4/x^3+2x^2+1

asked by guest
on Nov 25, 2024 at 5:39 pm



You asked:

Evaluate the expression: \(3 {x}^{5} + 3 {x}^{3} - {x}^{2} - \frac{4}{{x}^{3}} + 2 {x}^{2} + 1\)

MathBot Answer:

Evaluated



\(\displaystyle 3 {x}^{5} + 3 {x}^{3} - {x}^{2} - \frac{4}{{x}^{3}} + 2 {x}^{2} + 1 = 3 x^{5} + 3 x^{3} + x^{2} + 1 - \frac{4}{x^{3}} \)


Factored

\[3 {x}^{5} + 3 {x}^{3} - {x}^{2} - \frac{4}{{x}^{3}} + 2 {x}^{2} + 1 = \frac{\left(x + 1\right) \left(3 x^{7} - 3 x^{6} + 6 x^{5} - 5 x^{4} + 5 x^{3} - 4 x^{2} + 4 x - 4\right)}{x^{3}}\]