Question

divide x3-5x2+2x-10 by x2+2l​

Answer 1

Answer:

Step-by-step explanation:

x ^3+5x^2+10k

(x ^2+2)(x+5)+10k-2x-10

10k−10=0 or k=1.

Answer 2

Given,

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

Solution,

$\[ = \frac{{{x^3} - 5{x^2} + 2x - 10}}{{{x^2} + 2}}\]$

$\[ = \frac{{{x^3} + 2x - 5{x^2} - 10}}{{{x^2} + 2}}\]$

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

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

$\[ = \left( {x - 5} \right)\]$

Hence the value is $\[\left( {x - 5} \right)\]$.