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