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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 + 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.

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

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