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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 6 and Grade 7 students learn how to factor quadratics, ax^{2} + bx + c for a > 1.

There are five sets of factoring quadratics worksheets (a > 1).

- Factor Quadratics (b>0, c>0).
- Factor Quadratics (b>0, c<0).
- Factor Quadratics (b<0, c>0).
- Factor Quadratics (b<0, c<0).
- Factor Quadratics (b & c can be positive or negative).

These are the steps to factor quadratics:

- Make sure the trinomial is written in standard form, which is in the form of ax
^{2}+ bx + c, where a, b, and c are constants. - Look for any common factors among the coefficients (a, b, and c) and factor them out. This step is important to simplify the trinomial before further factoring.
- Identify two numbers that multiply to give (ac) and add up to give the coefficient of the middle term (b).
- Rewrite the middle term (bx) using the two numbers found in the previous step.
- Group the terms of the trinomial by grouping the first two terms and the last two terms.
- Factor out the greatest common factor (GCF) from each group, if possible.
- Apply the distributive property to factor out the common binomial factor.

Example:

Have a look at this video if you need to review how to factor quadratics using the AC method.

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

Scroll down the page for more **Factoring Quadratics Worksheets**.

**Printable**

(Answers on the second page.)

Factoring Quadratics Worksheet #1 (b>0, c>0)

Factoring Quadratics Worksheet #2 (b>0, c<0)

Factoring Quadratics Worksheet #3 (b<0, c>0)

Factoring Quadratics Worksheet #4 (b<0, c<0)

Factoring Quadratics Worksheet #5 (b & c can be positive or negative)

**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

Factoring Quadratics (Unfoil)

Factoring Quadratics (Grouping)

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