Polynomial Division

Which of these is a real polynomial?

• $3x^2$

• $-4^{-3}+2x^2$

• $6x^{-5}$

• $\frac{9}{x^2}$
  

Which of these is a false polynomial

• $5x^2+3x-12$

• $8xy^2+9xy+22x$

• $9x^2-2x^{-1}+4$

• $2x^2$

What cannot be a part of a polynomial

• a variable

• a constant

• exponents

• exponents greater than 2

What does the denominator do in a long division problem?

• act as the dividend(inside)

• act as the divisor(outside)

• act as the quotient

• act as the product

How many boxes should you make when using the box method?

• ~4

• ~8

• ~12

• ~(-2)

Solve using long division

 $\left(x^2-3x+2\right)\div\left(x-2\right)$  

• x-1

• x+1

•  $x^2$  

• 2x

Solve using long division

 $\frac{18x^4-3x^2+6x-4}{6x}$  

• x+2

•  $3x^3-\frac{1}{2}x+1-\frac{2}{3x}$  

•  $4x^3+2x-4+\frac{2}{3}$  

•  $3x^3+2x^2-3x+4$  

Does this equation have a remainder? Use box method

 $\frac{6x^3+7x^2-16x+18\ }{2x+5}$  

• yes

• no

Solve using box Method

 $\frac{27x^3+9x^2-3x-9}{3x-2}$  

•  $3x-2$  

•  $9x^2-6x+4$  

•  $9x^2+9x+5+\frac{1}{3x-2}$  

•  $6x^2-9x+2-\frac{3}{3x-2}$  

Solve using box method

 $\frac{4x^3-2x^2+5x+8}{x-2}$  

•  $12x^{\text{4}}+7x^3-8x+6$  

•  $4x^3+5x^2$  

•  $4x^2+9x$  
  

•  $4x^2+6x+17+\frac{42}{x−2}$