Recognizing quadratic factor methods | Summary and Q&A

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April 3, 2017
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Khan Academy
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Recognizing quadratic factor methods

TL;DR

Learn how to factor quadratics using common factors and the sum and product of terms.

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Questions & Answers

Q: What is the first step in factoring quadratics?

The first step is to check if there are any common factors among the terms. If there are, factor them out by dividing each term by the common factor.

Q: How can the sum and product of terms be used to factor quadratics?

In certain cases, where the coefficient of the second degree term is 1, the sum and product of two numbers can be used to determine the factors. The sum of the two numbers should equal the coefficient of the first degree term, and their product should equal the constant term.

Q: Why is factoring out common factors a good first step?

Factoring out common factors simplifies the quadratic expression and allows for further factorization. It reduces the complexity of the equation and helps identify additional factorization techniques.

Q: Can factoring techniques be applied to any quadratic?

Yes, factoring techniques can be applied to any quadratic. However, the specific techniques used may vary depending on the form of the quadratic and the presence of common factors or perfect square patterns.

Summary & Key Takeaways

  • Factoring quadratics involves identifying common factors and applying specific techniques.

  • Common factors can easily be identified by dividing each term by the common factor.

  • When the quadratic is written in standard form and the coefficient of the second degree term is 1, the sum and product of terms can be used to factor further.

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