Bellwork 1. Bellwork 2 Algebra Factoring: GCF 3

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Bellwork

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Bellwork

1. = 5

2. = 3

3. = 17

4. = 4

5. = 4

6. = 3

7. = 8

8. = 12

9. = 12

10. = 12

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AlgebraFactoring: GCF

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Review

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Review

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Notes: Factoring

We know how this works:

But could we work backwards?The answer is yes!This is called factoring by Greatest Common Factor, or GCF.

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Get Started Factoring:The first step to factoring by Greatest

Common Factor is to identify the Greatest Common Factor.

That is figure out the greatest “number” can divide all of the terms of the polynomial.

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Factoring

Identify the GCF:

Pull out this GCF and finish factoring the rest of the polynomial by “dividing” each term by the GCF:

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Factoring

Identify the GCF:

Finish the factoring:

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Factoring

Identify the GCF:

Finish it:

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Factoring

Identify the GCF:

Finish it:

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Working in Pairs

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Notes

What does the word prime mean?

The general definition of a prime number, or in our case algebraic expression, is one which can only be divided (or factored) into itself and the number 1.

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Example

This is prime because:and have no common factor other than .There are no variables that can be pulled

from all three terms

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Example

PRIME

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Working in Pairs:

Are the following

prime or not prime?

Prime

Not Prime

Not Prime

Prime

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Brief RecapWe can factor by Greatest Common

Factor by:◦Identifying the GCF◦Then finishing the factoring by dividing the polynomial by the GCF

A prime polynomial is one which can only be divided, or factored, by itself and the number 1.

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ASSIGNMENT 10-1

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Factoring by grouping works similar to factoring by GCF

Instead of pulling out a GCF from all of the terms, we will split the polynomial into two parts and pull a GCF from each part

Notes: Factoring by Grouping

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Split it:

Pull A GCF from each (if this is done right the parentheses should be the same:

Now re-write:

Example

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Example

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Example

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Example

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ASSIGNMENT 10-2