Polynomial Operations

Polynomial Operations

Multiple Select

I understand I will submit a piece of paper with my work on it at the end of this lesson.

• Yes

• Also Yes

Multiple Choice

Classify this polynomial by its degree and number of terms: 8

• Constant polynomial

• Linear monomial

• Constant monomial

• Linear monomial with 0 terms

Multiple Choice

Classify this polynomial by its degree and number of terms: x³ + 2x + 6

• Cubic polynomial

• Quadratic binomial

• Quadratic trinomial

• Cubic trinomial

Multiple Choice

Classify this polynomial by its degree and number of terms: x² + 6

• Linear polynomial

• Quadratic trinomial

• Quadratic binomial

• Cubic binomial

Standard Form

BIGGEST EXPONENT TO SMALLEST EXPONENT

ABC ORDER!

Multiple Choice

What is the standard form of the polynomial,

7x - 125 - 6x⁴ + 14x²

• 125 + 7x - 14x² +6x⁴

• -6x⁴ -7x + 14x² +125

• 125 + 14x² + 7x - 6x⁴

• -6x⁴+ 14x² + 7x - 125

 $\left(3x-5x^2+4\right)+\left(-2x^2+4x-5\right)$ 

Multiple Choice

 $\left(2x+5y-z\right)+\left(-6x-4y+7z\right)$  

•  $-4x+6y+6z$  

• 
  

   $4x+y+6z$  
  

•  $-4x+y+6z$  
  

•  $-4x-y+6z$  

Multiple Choice

 $\left(2x^2+5x-7\right)+\left(3-4x^2+6x\right)$ 

• 
  

   $2x^2+3x+1$  
  

• 
  

   $-2x^2-11x-4$  
  

• 
  

   $2x^2+5x-7$  
  

• 
  

   $-2x^2+11x-4$  
  

 $\left(6x^2-3x+2\right)-\left(5x-1+4x^2\right)$  

Multiple Choice

 $\left(4n^4-8n+4\right)-\left(8n^2+4n^4+1\right)$  

• 
  

   $-8n^2-8n+3$  
  

• 
  

   $-7n^2-8n+3$  
  

• 
  

   $-6n^2-8n+3$  
  

•  $8n^4-8n^2-8n+3$  
  

Multiple Choice

 $\left(3-2x+2x^2\right)-\left(4x-5+3x^2\right)$  

• 
  

   $x^2+6x+8$  
  

• 
  

   $2x^2+5x-7$  
  

• 
  

   $-x^2-6x+8$  
  

•  $-x^2+11x-4$  
  

 $\left(3x-2\right)\left(x+4\right)$  

Multiple Choice

 $\left(3x-6\right)\left(7x+7\right)$  

• 
  

   $21x^2-63x+42$  
  

• 
  

   $21x^2-21x-42$  
  

• 
  

   $21x^2-42$  
  

•  $21x^2+21x-42$  

Multiple Choice

(4x+1)(5x−2)

• 20x² + 3x − 2
• 20x² − 11x + 5
• 20x² − 18x + 2
• 20x² − 3x − 2

Multiple Choice

Simplify the expression
(x - 3)²

• x² - 6x + 9
• x² + 9
• x² + 6x - 9
• x² + 6x + 9

Multiple Choice

Find the product:

(2x + 3)²

• 2x + 3 + 2x + 3

• 4x² + 12x + 9

• 4x² + 9

• 16x² + 9

Multiple Choice

Find the product:

(5n-8)(5n+8)

• 25n² - 64

• 10n² - 64

• 25n² + 16

• 25n² + 80n + 64

Multiple Choice

Multiply.

(b+3)(b²+2b+1)

• b³ + 6b² + 6b + 3

• b³ + 5b² + 7b + 3

• 4b³ + 8b² + 3b

• 3b³ + 6b² + 3b

 $\frac{6x^3-8x^2+2x}{2x}$  

Multiple Choice

 $\frac{-4a^{7\ }-\ 6a^5}{2a^3}$  

•  $2a^{4\ }+3a^2$  

•  $4a^{4\ }-\ 4a^2$  

•  $-2a^{7\ }-\ 3a^5$  

•  $-2a^{4\ }-3a^2$  

Multiple Choice

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

•  $6y^2\ +3y^2\ -4y^2$  

•  $15y^{4\ }+6y^2\ -\ 9$  

•  $6y^{4\ }+3y^2-4$  

•  $6y^{3\ }-3y^2\ +4y$  

Multiple Choice

 $\frac{15x^9-40x^6}{5x^3}$  

• 15x⁹ - 8x³

• 3x⁶ - 8x³

• -5x¹²

• 3x⁶ - 40x³

Multiple Choice

 $\frac{8x^8-8x^2-28x}{4x}$  

• 2x⁸-8x²-28x

• 2x⁸-2x²-7x

• 8x⁷-8x-28x

• 2x⁷ -2x -7

Poll

I need more practice with:

• Adding

• Subtracting

• Multiplying

• Dividing

• Nothing! I got it!