GCF and Factoring Polynomials

• ​Guess and check

• Use a factor tree and multiply the common prime numbers​

​Two Methods:

• stands for "Greatest Common Factor"​

• when you have a set of numbers, the GCF is the largest positive integer that divides evenly into all the numbers​ (or variables)

GCF

We multiplied polynomials using distributive property.

Now we can work backward and pull a monomial factor out of a polynomial​

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Use the distributive property​

​1.6w² + 6w

Step One: Find the GCF of each term

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​Step Two: Write each term as a product of the GCF and remaining factors.

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Step Three: Distributive Property​​

27y² + 18y​

Step One: Find the GCF of each term

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​Step Two: Write each term as a product of the GCF and remaining factors.

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Step Three: Distributive Property​​

-4a²b-8ab²+2ab​