Hello,
(2x^6-9x^5+4x^2-5)|x^3-5
-(2x^6-10x^3 ) | 2x^3 -9x^2 +10
-------------------
-9x^5 +10x^3 +4x^2-5
-(-9x^5+45x^2)
---------------------------
10x^3-41x^2-5
-(10x^3-50)
-----------------
-41x²+45
Answer D
Assume that

and <span>multiply the equation

by 4p. Then you obtain the equation

.
</span>
1) If k>0, then 4pk>0 and the equation doesn't have solutions, because <span>

and this is unreal.
</span>
<span>2) If k=0, then 4pk=0 and

. There is one solution x=h.
</span>
2) If k<0, then 4pk<0 and the equation
<span>

has two different solutions

and

.</span>