Question

Check whether p(x)=x³-x+1 is a múltiple of 2-3x

Answer 1

Hey dude here is your Answer------------------------ ✔️❣️✔️ ❣️✔️ ❣️✔️ ❣️

Let

$2 - 3x = 0 \\ = > - 3x = - 2 \\ = > 3 x = 2 \\ = > x = \frac{2}{3} \\ \\ p(x) = {x}^{3} - x + 1 \\ \\ = > { \frac{2}{3} }^{3} - \frac{2}{3} + 1 \\ \\ = > \frac{8}{27} - \frac{2}{3} + 1 \\ \\ = > \frac{8 - 18 + 27}{27} \\ \\ = > \frac{35 - 18}{27} \\ \\ = > \frac{17}{27} ........$

✳️✳️No , 2-3x is not the factor of p(x) ....