Factoring Quadratics Worksheets (a > 1)

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, ax² + bx + c for a > 1.

How to factor quadratics?

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:

1. Make sure the trinomial is written in standard form, which is in the form of ax² + bx + c, where a, b, and c are constants.
2. 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.
3. Identify two numbers that multiply to give (ac) and add up to give the coefficient of the middle term (b).
4. Rewrite the middle term (bx) using the two numbers found in the previous step.
5. Group the terms of the trinomial by grouping the first two terms and the last two terms.
6. Factor out the greatest common factor (GCF) from each group, if possible.
7. 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.

• Factoring Trinomials. AC Method & By Grouping

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

 

More Factoring Quadratics (a > 1) 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)
Factoring Quadratics Worksheet #6 (mixed)
Factoring Quadratics Worksheet #7 (mixed)

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

Factoring Quadratics (Unfoil)
Factoring Quadratics (Grouping)

More Printable Worksheets

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