Question

Divide the Polynomial 3xcube -2xsquare + x by x -1​

Answer 1

$\huge \underline \bold \pink{Solution :}$

Correct question :

$\frac{(3 {x}^{3} - 2 {x}^{2} - x)}{(x - 1)}$

$\frac{x(3 {x}^{2} - 2x - 1)}{(x - 1)} \\ \\ = > \frac{x(3 {x}^{2} - 3x + x - 1)}{(x - 1)} \\ \\ = > \frac{x[3x(x - 1) + 1(x - 1)]}{(x - 1)} \\ \\ = > \frac{x(x - 1)(3x + 1)}{(x - 1)} \\ \\ = > x(3x + 1) = 3 {x}^{2} + x$

$\huge \fbox \green{Hope it helps ☺}$