#### Question

# 1 Algebra Question. Please Help. (10 Points)?

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.

#### Answers

how unique does it have to be? (15x^6+10x^4-5x^2)/5x^2

15x^6/5x^2=3x^4

10x^4/5x^2=2x^2

-5x^2/5x^2=-1

so 3x^4+2x^2-1

#1

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

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

x^3-x^2y

- +

------------

x^2y-y^3

x^2y-xy^2

- +

--------------

xy^2-y^3

xy^2-y^3

- +

-------------

0 0

#2