Polynomial Division

$3x^2$

$-4^{-3}+2x^2$

$6x^{-5}$

$\frac{9}{x^2}$

$5x^2+3x-12$

$8xy^2+9xy+22x$

$9x^2-2x^{-1}+4$

$2x^2$

a variable

a constant

exponents

exponents greater than 2

act as the dividend(inside)

act as the divisor(outside)

act as the quotient

act as the product

~4

~8

~12

~(-2)

x-1

x+1

 $x^2$  

2x

x+2

 $3x^3-\frac{1}{2}x+1-\frac{2}{3x}$  

 $4x^3+2x-4+\frac{2}{3}$  

 $3x^3+2x^2-3x+4$  

yes

no

 $3x-2$  

 $9x^2-6x+4$  

 $9x^2+9x+5+\frac{1}{3x-2}$  

 $6x^2-9x+2-\frac{3}{3x-2}$  

 $12x^{\text{4}}+7x^3-8x+6$  

 $4x^3+5x^2$  

 $4x^2+9x$  

 $4x^2+6x+17+\frac{42}{x−2}$