Add or Subtract Polynomials Game
To add or subtract polynomials, group like terms x² with x², x with x, and constants with constants) and then combine them. For subtraction, change the sign of each term in the expression being subtracted and then add. Scroll down the page for a more detailed explanation.
 
This game generates two polynomials that you would need to add or subtract and provide the resulting coefficients. If you give a wrong answer, the game will provide the correct answer.
 

Polynomial Operations

Add or subtract polynomials. Enter coefficients for the result.

Enable 60-Second Timer

Start Game

Score: 0 / 0

Time: 60

Resulting polynomial:

x² + - x + -

Check Next

Back to Menu

 

How to Play the Add or Subtract Polynomials Game
The game will show you two polynomials that you would need to add or subtract and provide the resulting coefficients.
Here’s how to play:

1. Timed Option: Check the timer if you want to enable the 60 second timer. Click “Start Game”.
   
2. Look at the Problem: You’ll see two polynomials. Add or subtract them.
   
3. Enter Your Answer: Enter the resulting coefficients.
   
4. Check Your Work: Click the Check button (or press the Enter key). The game will tell you if you’re correct. If you are wrong, you will be shown the correct answer.
   
5. Get a New Problem: Click the Next button for a new problem.
   Your score is tracked at the top, showing how many you’ve gotten right out of the total you’ve tried.
   
6. Back to Menu Click “Back to Menu” to restart the game.
    
   

How to Add Polynomials
When adding, you simply combine the coefficients of the corresponding like terms.
Step 1: Group the Like Terms
Step 2: Combine the Coefficients
Step 3: Write the Final Expression
 

How to Subtract Polynomials
Subtraction is slightly trickier because you must distribute the negative sign to every single term in the second polynomial before you combine the like terms.
Step 1: Distribute the Negative Sign
Change the subtraction operation into addition by flipping the sign of every term in the second set of parentheses.
Step 2: Group the Like Terms
Step 3: Combine the Coefficients
Step 4: Write the Final Expression
 
Always focus on the coefficients when adding or subtracting, and never change the exponents (x² remains x², x remains x).
Remember to distribute the negative sign during subtraction.
 

The video gives a clear, step-by-step approach to add or subtract polynomials.

• Show Video

 

Free Algebra Games
Distributive Property	Evaluate Algebraic Expressions	Evaluate Expressions (Exponents)
Add or Subtract Polynomials	Solve Equations	Systems of Equations
Inequalities on the Number Line	Solve Inequalities	Multiply Binomials (y+b)(y+d)
Multiply Binomials (ay+b)(cy+d)	Factor Trinomials	Solve Quadratic Equations

 

Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.