Adding & Subtracting Polynomials

Adding & Subtracting Polynomials

Boyle

Multiple Choice

First: What is a coefficient?

• The number in front of a variable.

• The exponent of a variable.

• A constant.

• A variable.

Multiple Choice

What are like terms?

• The same coefficients.

• The same variables with different exponents.

• Terms with the same variable and exponents combination.

• Different variables with same exponents.

Multiple Choice

Which are like terms?

• $3x^2y^3\ \ and\ -5x^2y^2\$

• $2x^3y^4\ and\ −3x^3y^4$

• $5x^2y^2\ and\ 5x^3y^3$

• $2xy\ and\ 5ab$

Multiple Choice

Add the following: 3x²y⁴ + 7x²y⁴

• 10x⁴y^⁸

  
  

• 21x²y⁴

• 21x⁴y⁸

• 10x²y⁴

  
  

Multiple Choice

 $Add:\ (9x^3+5x^2−3x)+(4x^3−8x^2+7x)$  

•  $$5x^3-3x^2+4x$$ 

• $$13x^3-13x^2+4x$$  

•  $$13x^3-3x^2+4x$$ 

   

•  $14x^6$  

Multiple Choice

 $Add:\ \ \left(-4k^4+14+3k^2\right)+\left(-3k^4-14k^2-8\right)$  

•  

   $-7k^4-11k^2+6$

   

•  

   $12k^4-11k^2+6$ 

   

•  $-7k^4+0-5k^2$  

• $$-7k^4-11k+2$$  

Multiple Choice

 $Add:(9r^3+5r^2+11r)+(−2r^3+9r−8r^2)$  

• $$21r^3+20r$$  

•  $7r^3+14r^2+3r$  

•  

   $11r^3-3r^2+20r$

   

• $$7r^3-3r^2+20r$$  

Multiple Choice

 $Subtract:(3r^4+4r^3)−(r^4−5r^3)$  

•  $2r^4-r^3$  

• $$2r^4-5r^3$$  

•  2r4+9r3

   

• $$11r^7$$  

Multiple Choice

 $Subtract:\ \ \left(6x^4-5x^3+2x^2-8x\right)\ -\ \left(4x^4+5x^3+3x^2+12x\right)$  

•  

   $10x^4-10x^3-x^2-20x$ 

• $$2x^4-10x^3-x^2-20x$$  

•  $$2x^4-x^2-20x 

   

• $$2x^4-20x$$  

Multiple Choice

 $Subtract:\ \ \left(13a^2-6a^5-2a\right)-\left(-10a^2-11a^5+9a\right)$  

•  

   $-17a^5-23a^2-11a$ 

•  $15a^5-23a^2+11a$  

•  $27a^7-11a$  

• $$5a^5+23a^2-11a  

Multiple Choice

 $Subtract.(4x^2+7x^3y^2)−(−6x^2−7x^3y^2−4x)−(10x+9x^2)$  

•  

   $-9x^2+4x$ 

• $$x^2-6x$$  

•  $14x^3y^2+x^2-6x$  

• $$14x^3{y}^2+19x^2-6x$$