Factoring Trinomials The Easy Fast Way | Summary and Q&A

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July 18, 2016
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The Organic Chemistry Tutor
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Factoring Trinomials The Easy Fast Way

TL;DR

This video provides a simple method for factoring trinomials, with examples and step-by-step instructions.

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Questions & Answers

Q: How do I factor trinomials when the leading coefficient is 1?

To factor trinomials with a leading coefficient of 1, find two numbers that multiply to the constant term and add to the middle term. This will give you the binomial factors.

Q: What if the trinomial has a negative leading coefficient?

The process is the same. Find two numbers that multiply to the constant term and add to the middle term, and then rewrite the trinomial as the product of two binomials.

Q: How do I factor trinomials when the leading coefficient is not 1?

Multiply the first and last terms to get the constant term. Then, find two numbers that multiply to the constant term and add to the middle term. Replace the middle term with the two numbers and factor by grouping.

Q: Can I use the quadratic equation to find the solutions to a factored trinomial?

Yes, if the factored trinomial is set equal to zero, you can use the quadratic equation to find the solutions for the variable.

Summary & Key Takeaways

  • The video demonstrates how to factor trinomials when the leading coefficient is 1 by finding two numbers that multiply to a constant term and add to the middle term.

  • Examples are given for trinomials with positive, negative, and zero leading coefficients.

  • The video also explains how to factor trinomials when the leading coefficient is not 1 using the method of multiplying the first and last terms.

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