Perfect Square Trinomials Game
To factor a perfect square trinomial, first confirm the first and last terms are perfect squares and the middle term is twice the product of their square roots. Then, use the pattern a²+2ab+b²=(a+b)² or a²-2ab+b²=(a-b)² to write the factored form. Scroll down the page for a more detailed explanation.
 
This game generates a trinomial that may or may not be a perfect square trinomial. You need check whether the trinomial is a perfect square. If it is a perfect square trinomial then factor it. If you give a wrong answer, the game will provide the correct answer.
 

Perfect Square Trinomials

Identify if an expression is a perfect square trinomial, then factor it.

Enable 60-Second Timer

Start Game

Score: 0 / 0

Time: 60

Is this a perfect square trinomial?

Yes No

Enter the factored form (ax ± b)²:

( x + - )²

Check Next

Back to Menu

 

How to Play the Perfect Square Trinomials Game
The game will show you a binomial that is a perfect square trinomials.
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 a binomial. LIdentify the two perfect squares.
   
3. Enter Your Answer: Enter the square root of each term numbers. Select the correct operator.
   
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 factor a Perfect Square Trinomial
To factor a perfect square trinomial, first confirm the first and last terms are perfect squares and the middle term is twice the product of their square roots. Then, use the pattern a²+2ab+b²=(a+b)² or a²-2ab+b²=(a-b)² to write the factored form.
 
Step 1: Check the first and last terms:
Make sure the first and last terms of the trinomial are perfect squares (e.g.,x², 49, 25y².
Step 2: Check the middle term:
Verify that the middle term is equal to twice the product of the square roots of the first and last terms.
If the trinomial is a²+2ab+b², the middle term must be 2ab.
If the trinomial is a²-2ab+b², the middle term must be 2ab with a negative sign.
Step 3: Write the factored form:
Based on the sign of the middle term, write the trinomial as a squared binomial:
If the middle term is positive, the factored form is (a+b)².
If the middle term is negative, the factored form is (a-b)².
 

The video gives a clear, step-by-step approach to factor perfect square trinomials.

• Show Video

 

Free Algebra Games
Distributive Property	Evaluate Algebraic Expressions	Evaluate Expressions (Exponents)
Perfect Square Trinomials	Solve Equations	Systems of Equations
Inequalities on the Number Line	Solve Inequalities	Multiply Difference of Two Squares (y+b)(y+d)
Multiply Difference of Two Squares (ay+b)(cy+d)	Factor Trinomials	Solve Quadratic Equations

 
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