Factor Trinomials Worksheets (a > 1)

There are three sets of factoring trinomials worksheets:

Examples, solutions, videos, and worksheets to help Grade 6 and Grade 7 students learn how to factor trinomials, ax2 + bx + c for a > 1.

How to factor trinomials?

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

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

These are the steps to factor trinomials:

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:

Therefore, the factored form of the trinomial x2 - 6x + 5 is (x - 1)(x - 5).

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

Click on the following worksheet to get a printable pdf document.
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More Factor Trinomials Worksheets

Printable
Factor Trinomials Worksheet #1 (b>0, c>0)
Factor Trinomials Worksheet #2 (b<0, c>0)
Factor Trinomials Worksheet #3 (b>0, c<0)
Factor Trinomials Worksheet #4 (b<0, c<0)
Factor Trinomials Worksheet #5 (b & c can be positive or negative)

Factor Trinomials (Unfoil)
Factor Trinomials (Grouping)

More Printable Worksheets

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