Answer:
In standard form the equation will be [tex]x^4-4x^3+12x^2-16x+16[/tex]
Step-by-step explanation:
We have given polynomial [tex]\frac{(x-2)^5}{(x-2)}[/tex]
After dividing the expression will be [tex](x-2)^4[/tex]
[tex](x-2)^4[/tex] can be written as [tex](x-2)^2\times (x-2)^2[/tex]
[tex](x-2)^2\times (x-2)^2=(x^2+4-4x)(x^2+4-4x)=x^4+4x^2-2x^3+4x^2+16-8x-2x^3-8x+4x^2=x^4-4x^3+12x^2-16x+16[/tex]
So in standard form the equation will be [tex]x^4-4x^3+12x^2-16x+16[/tex]
