Question

2x⁴-5x³+2x²+5x-10/(x-2)​

Answer 1

Answer:

$\mathrm{Simplify}\:\frac{2x^4-5x^3+2x^2+5x-10}{x-2}:\quad 2x^3-x^2+5$

Step-by-step explanation:

$\frac{2x^4-5x^3+2x^2+5x-10}{x-2}$

$=\frac{\left(x-2\right)\left(2x^3-x^2+5\right)}{x-2}$

$\mathrm{Cancel\:the\:common\:factor:}\:x-2$

$=2x^3-x^2+5$