Factor out the GCF

789 views · Published 11 April 2012 · 4:16 · Indexed 20 October 2026

Channel: Brian McLogan · 2012 · Education

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👉 Learn how to factor polynomials by GCF. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. 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 polynomial by GCF, all we need to do is to identify the GCD (the greatest expression that can divide all the terms of the quadratic without remainder). After identifying the GCD we then express the original quadratic as a product of the GCD and the factors which when multiplied to the GCD yields the original quadratic.

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Organized Videos:
✅How to Factor a Polynomial
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMp5R_D3q-LPT4h_WAeQyRH0
✅How to factor a polynomial | Learn about
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMo3w6FIp6_qyyb_RWV0m8Tj
✅How to factor out the GCF from a polynomial
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqCr4cGTmOr-5lBAU6PFpJS
✅How to factor a perfect square polynomial
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqYQ-aUa1ZZkvDfupz9E-66
✅How to factor a polynomial by difference of two squares
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqqzH0h--foRlCkIc3TCr6F
✅How to factor a polynomial by sum or difference of two cubes
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMq34F1eYGBLTidEXn4W6hbt
✅How to factor out an expression from a polynomial
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMq34F1eYGBLTidEXn4W6hbt
✅How to factor a polynomial by grouping with two variables
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMq34F1eYGBLTidEXn4W6hbt
✅How to factor a polynomial by grouping
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMq34F1eYGBLTidEXn4W6hbt
✅How to factor a polynomial to a higher power
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMq34F1eYGBLTidEXn4W6hbt


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