Related Topics:

More Math Worksheets

More Grade 7 Math Lessons

Grade 7 Math 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.

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:

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

Example: Factor the expression x² + 6x + 9

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

However, not all quadratic expressions are perfect square quadratics. For example, the expression x² + 10x + 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.

Click on the following worksheet to get a printable pdf document.

Scroll down the page for 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

Factor Perfect Square Quadratics

Factor Perfect Square Quadratics

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

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