Factor Perfect Square Quadratics Worksheets

There are four sets of factoring quadratics worksheets:

• Factoring Quadratics (a = 1)
  
• Factoring Quadratics (a > 1)
  
• Factor Difference of Squares
  
• Factor Perfect Square Quadratics
  

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

How to factor perfect square quadratics?

There are three sets of factoring perfect square quadratics worksheets.

• Factor Perfect Squares Quadratics.
• Factor Perfect Squares Quadratics (GCF).
• Factor Perfect Squares Quadratics (two variables)

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

To factor a perfect square quadratic, 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 quadratic expressions are perfect square quadratics. For example, the expression x² + 9x + 25 is not a perfect square quadratic 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 quadratics.

• Factoring Perfect Square Trinomials

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

 

More Factor Perfect Square Quadratics Worksheets

Printable
(Answers on the second page.)
Factor Perfect Square Quadratics Worksheet #1
Factor Perfect Square Quadratics Worksheet #2 (GCF)
Factor Perfect Square Quadratics 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

Factor Perfect Square Quadratics
Factor Perfect Square Quadratics

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