Create a unique example of dividing a polynomial by a monomial and provide the simplified form. Explain, in complete sentences, the two ways used to simplify this expression and how you would check your quotient for accuracy.
Please Help.
Please Help.

how unique does it have to be? (15x^6+10x^45x^2)/5x^2
15x^6/5x^2=3x^4
10x^4/5x^2=2x^2
5x^2/5x^2=1
so 3x^4+2x^21
15x^6/5x^2=3x^4
10x^4/5x^2=2x^2
5x^2/5x^2=1
so 3x^4+2x^21

(x^3y^3)/(xy)= (xy)(x^2+xy+y^2)/(xy)= x^2+xy+y^2
xy) x^3y^3( x^2+xy+y^2
x^3x^2y
 +

x^2yy^3
x^2yxy^2
 +

xy^2y^3
xy^2y^3
 +

0 0
xy) x^3y^3( x^2+xy+y^2
x^3x^2y
 +

x^2yy^3
x^2yxy^2
 +

xy^2y^3
xy^2y^3
 +

0 0