assignment 5 factoring trinomials

Factoring Trinomials Worksheets (a = 1)

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There are three sets of factoring trinomials worksheets:

• Factoring Trinomials (a = 1)
• Factoring Trinomials (a > 1)
• Factor Perfect Square Trinomials

Examples, solutions, videos, and worksheets to help Grade 6 and Grade 7 students learn how to factor trinomials, ax 2 + 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:

• 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 the constant term (c) 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: Factor the trinomial x 2 - 6x + 5.

• The trinomial is already in standard form.
• There are no common factors among the coefficients.
• The numbers that multiply to give 5 and add up to give -6 are -5 and -1.
• Rewrite the middle term: x 2 - 5x - x + 5
• Group the terms: (x 2 - 5x) + (-x + 5)
• Factor out the GCF from each group: x(x - 5) - 1(x - 5)
• Apply the distributive property: (x - 1)(x - 5)

Therefore, the factored form of the trinomial x 2 - 6x + 5 is (x - 1)(x - 5).

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

More Factor Trinomials Worksheets

Printable (Answers on the second page.) 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)

Online or Generated Factor Binomials by Difference of Squares Factor Perfect Square Trinomials Factor Trinomials 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

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Factor Trinomials (Unfoil) Factor Trinomials (Grouping)

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