Answer:
1&2 are -2x^(3)+3x^(2)+x or Factored is −-x(2x^(2)-3x-1)
3&4 are 2x^(4)-3x^(3)-x^(2) or Factored is x^(2)(2x^(2)-3x-1)
5 is Yes
Explanation:
1. (x+1*2x^(2)-x)(-1)
2x^(3)-x^(2)+2x^(2)-x(-1)
2x^(3)-3x^(2)-x(-1)
-2x^(3)+3x^(2)+x
−-x(2x^(2)-3x-1)
2. (2x^(2)-x*x+1*2x)(-1)
2x^(3)-x^(2)+2x^(2)-x(-1)
2x^(3)-3x^(2)-x(-1)
-2x^(3)+3x^(2)+x
−-x(2x^(2)-3x-1)
3. (x+1*2x^(2)-x)(x)
2x^(3)-x^(2)+2x^(2)-x(x)
2x^(3)-3x^(2)-x(x)
2x^(4)-3x^(3)-x^(2)
x^(2)(2x^(2)-3x-1)
4. (2x^(2)-x*x+1*2x)(x)
2x^(3)-x^(2)+2x^(2)-x(x)
2x^(3)-3x^(2)-x(x)
2x^(4)-3x^(3)-x^(2)
x^(2)(2x^(2)-3x-1)
5. (2x^(2)-x*x+1*2x)(x)=(x+1*2x^(2)-x)(x)
(2x^(2)-x*x+1*2x)(x)-2x^(2)-x=(x+1*2x^(2)-x)(x)-2x^(2)-x
(x+1)(x)=(x+1)(x)
(x+1)(x)-(x+1)=(x+1)(x)-(x+1)
X=X