Dividing Polynomials by Monomials

When I am a dividing by a monomial, I should _______ the coefficients and ________ the exponents for each term.

• add, subtract

• subtract , divide

• divide, divide

• divide, subtract

Tags

CCSS.HSA.APR.A.1

 $\frac{20x^2}{5x}$  

•  $15x$  

•  $4x$  

•  $15x^2$  

•  $25x$  

Tags

CCSS.HSA.APR.D.6

 $\frac{36m^2n^5}{9m^2n^3}$  

•  $27n^2$  

•  $4mn^2$  

•  $45m^4n^8$  

•  $4n^2$  

Tags

CCSS.HSA.APR.D.6

Simplify. Assume no denominator is equal to 0.

 $\frac{x^3y^2}{xy^{-6}}$  

**Remember:  When dividing monomials, subtract exponents of like variables.**

•  $x^2y^8$  

•  $\frac{x^3}{y^3}$  

•  $\frac{x^3}{y^{12}}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify. Assume no denominator is equal to 0.

 $\frac{-9f^{-1}g^8h^{-3}}{6g^2h^9}$  

•  $\frac{-3g^6}{2fh^{12}}$  

•  $-3fg^{10}h^6$  

•  $\frac{-54fg^{16}}{h^{27}}$  

Tags

CCSS.HSA.APR.A.1

 $\frac{18y^{6\ }+9y^{4\ }-12y^2}{3y^2}$  

•  $6y^2\ +3y^2\ -4y^2$  

•  $15y^{4\ }+6y^2\ -\ 9$  

•  $6y^{4\ }+3y^2-4$  

•  $6y^{3\ }-3y^2\ +4y$  

Tags

CCSS.HSA.APR.D.6

(12x⁵ + 9x² – 6x) ÷ 3x²

• $4x3^{ }+3-\frac{2}{x}$

• $4x^3+3-2x$
  

• $4x^3+3x-\frac{2}{x}$
  

• $4x^7+3x^4-2x^3$
  

Tags

CCSS.HSA.APR.D.6

 $\frac{\left(m^2n+m^6n^3\right)}{mn}$  

•  $m^3n^2+m^7n^4$  

•  $m^2n+m^5n^2$  

•  $m+m^5n^2$  

•  $m+m^6n^3$  

Tags

CCSS.HSA.APR.D.6

 $\frac{\left(8x^4+6x^3-10x^2\right)}{2x^2}$  

•  $4x^2+3x-5$  

•  $4x^3+3x^2-5x$  

•  $6x^2+4x-12$  

•  $6x^3+4x^2-12x$  

Tags

CCSS.HSA.APR.D.6

 $\frac{10x^3-6x^{2\ }+5x}{4x}$  

•  $\frac{5}{2}x^2\ -\ \frac{3}{2}x\ +\frac{5}{4}^{ }$  

•  $14x^4\ -\ 10x^3\ +9x^2$  

•  $\frac{5}{2}x^3\ -\frac{3}{2}x^2\ +\frac{5}{4}x$  

•  $2x^{3\ }+\frac{3}{2}x\ -\frac{5}{4}$  

Tags

CCSS.HSA.APR.D.6