Perfect Square Trinomial Worksheets

There are three sets of factoring trinomials worksheets:

• Factoring Trinomials (a = 1)
  
• Factoring Trinomials (a > 1)
  
• Factor Perfect Square Trinomials
  

Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 students learn how to factor perfect square trinomials or perfect square quadratics, a² + 2ab + b².

How to factor perfect square trinomials?

There are three sets of factoring perfect square trinomial worksheets.

• Factor Perfect Square Trinomials.
• Factor Perfect Square Trinomials (GCF).
• Factor Perfect Square Trinomials (two variables).

A perfect square trinomial is a trinomial expression that can be factored into the square of a binomial. The general form of a perfect square trinomial is a² + 2ab + b², where a and b are any real numbers.

To factor a perfect square trinomial, you can follow these steps:

1. Identify the perfect squares in the expression.
2. Confirm that the middle term is twice the product of ab.
3. Write the factored form as (a + b)².

Example: Factor the expression x² + 6x + 9

1. Identify the perfect squares. In this case, the perfect squares are x² and 3².
2. Confirm that the middle term is twice the product of ab: 6x = 2(3x).
3. Write the factored form as (x + 3)².

However, not all trinomial expressions are perfect square trinomials. For example, the expression x² + 10x + 25 is not a perfect square trinomial because the middle term is not twice the product of ab.

Example:

Have a look at this video, if you need to review how to factor perfect square trinomials.

• Factoring Perfect Square Trinomials

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Perfect Square Trinomial Worksheets.

 

More Perfect Square Trinomial Worksheets

Printable
(Answers on the second page.)
Factor Perfect Square Trinomial Worksheet #1
Factor Perfect Square Trinomial Worksheet #2 (GCF)
Factor Perfect Square Trinomial Worksheet #3 (two variables)

Online or Generated
Factor Binomials by Difference of Squares
Factor Perfect Square Trinomials

Factoring Quadratics or Quadratic Equations
Factor Different Types of Trinomials 1
Factor Different Types of Trinomials 2

Solve Trinomials using Quadratic Formula
Find Discriminants of Quadratic Polynomials

Related Lessons & Worksheets

Perfect Square Trinomial
Perfect Square Trinomial

More Printable Worksheets

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