(3x^3 + 7x^2 - 4) / x+1
You asked:
Evaluate the expression: \(\frac{3 \cdot {x}^{3} + 7 \cdot {x}^{2} - 4}{x} + 1\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{3 \cdot {x}^{3} + 7 \cdot {x}^{2} - 4}{x} + 1 = 1 + \frac{3 x^{3} + 7 x^{2} - 4}{x} \)
Expanded
\[\frac{3 \cdot {x}^{3} + 7 \cdot {x}^{2} - 4}{x} + 1 = 3 x^{2} + 7 x + 1 - \frac{4}{x}\]
Factored
\[\frac{3 \cdot {x}^{3} + 7 \cdot {x}^{2} - 4}{x} + 1 = \frac{\left(3 x + 4\right) \left(x^{2} + x - 1\right)}{x}\]