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## PowerPoint Slideshow about ' Factoring Using GCF’s' - rafe

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### Factoring Using GCF’s

### Classwork/Homework

Objectives: Find the greatest common factors of a set of numbers or monomials

Factoring

36

- It’s the process of breaking down a large number into a series of small numbers that are all multiplied together

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4 x 9

- Use the factor tree solution until all your multiplied numbers are prime

/ \

/ \

2 x 2

3 x 3

Factor tree

24

When you factor you’ll always get to the same result if you factor completely although you may start differently.

24

When you hit a prime,

circle it

/ \

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4 x 6

8 x 3

/ \

/ \

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2 x 2

2 x 3

4 x 2

/ \

2 x 2

Greatest Common Factor (GCF)

- The GCF is the largest number that can go into 2 or more numbers

24

36

Break each number down to its prime

/ \

/ \

4 x 9

4 x 6

Circle the biggest numbers that are common to both, when multiplied they will equal the GCF.

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2 x 2

2 x 3

2 x 2

3 x 3

4x3=12

Factoring Polynomials

- Objectives: Use the GCF and the Distributive property to factor polynomials

Factoring polynomials

STEPS:

- Break all polynomials down to prime form.

3x2y + 12xy

- ID common coefficients and variables.

- Put back together. Common coefficients and variables will be on the outsides of the brackets.

Factoring polynomials

3x2y + 12xy

- Break all polynomials down to prime form.

3•x•x•y

2•3•2•x•y

+

- ID common coefficients and variables.

x

y

3

(x+4)

- Put back together. Common coefficients and variables will be on the outsides of the brackets.

Factoring trinomials

- Objectives: Factor GCF’s from trinomials in the form X2+bx+c

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