Step-by-Step Guide to Factoring Quadratics

👉Learn how to factor quadratics when the coefficient of the term with a squared variable is not 1. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression.

To factor a quadratic trinomial where the coefficient of the term with a squared variable is not 1, we find two expressions which when multiplied together gives the product of the constant term (the term with no variable) and the term with the squared variable and when the two expressions are added gives the term whose variable has no power. These two expressions obtained are used to replace the term whose variable has no power. The result is then factored by grouping them and factoring out the GCD.

There are other methods that can be used to achieve this including the AC, Berry, Box, Grouping and mental technique. Each way will have it's benefits but it is also helpful to check your answer by multiplying your binomials to make sure they give the original trinomial

Timestamps:
0:00 Intro
0:52 Start of Problem

Corrections:
5:25 The factor is positive 5, not negative. Factors are (a-2)(6a+5)

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Organized Videos:
✅Factor Quadratic Expressions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMov2SpWk7nuzHUrRAB9HHMD
✅Factor Quadratic Expressions | Learn About
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoxCbBS_v2h69ux4ad-xiA4
✅Factor Quadratic Expressions | GCF
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqTOZvhhxXLxJPfy6mPlP57
✅Factor Quadratic Expressions | x^2+bx+c
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqqxz4K2NmM4y_Yn-kSeYfr
✅Factor Quadratic Expressions | x^2+bx+C
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrQuIygYMSi8Y6XphIHJuLs
✅Factor Quadratic Expressions | Difference of Two Squares
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqm-KXw2vDVj-6iyZIxxJPV
✅Factor Quadratic Expressions | Perfect Square
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMryyZntl_gz5BMYaYALbsnP
✅Factor Quadratic Expressions | ax^2+bx+c
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrTIyt4NQFykiyDuWfF_M6S


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