Factoring using GCF Algebra I. Definitions Prime number – is a whole number whose only factors are itself and one (a number can’t be factored any more)

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Presentation transcript:

Factoring using GCF Algebra I

Definitions Prime number – is a whole number whose only factors are itself and one (a number can’t be factored any more) Prime number – is a whole number whose only factors are itself and one (a number can’t be factored any more) Composite number – is an integer that can be factored Composite number – is an integer that can be factored Greatest Common Factor – of two monomials is the product of their common factors (largest number that will go into 2 numbers) Greatest Common Factor – of two monomials is the product of their common factors (largest number that will go into 2 numbers) Factored Form – A monomial is in factored form when it is expressed as the product of prime numbers and variables and NO variable has an exponent greater than 1. Factored Form – A monomial is in factored form when it is expressed as the product of prime numbers and variables and NO variable has an exponent greater than 1.

Factor any problem into prime factors first 1) Factor 180 1) Factor 180 Now list out All the Prime factors 180 = List them in numerical order

2) Find the GCF of 54, 63, = 54 = 63 = 63 = 180 = 180 = The GCF is The GCF is Greatest Common Factor – of two monomials is the product of their common factors (largest number that will go into 2 numbers) Greatest Common Factor – of two monomials is the product of their common factors (largest number that will go into 2 numbers) Which factors do each of these have in common?

3) Find the GCF of 24, 64, = 24 = 64 = 64 = 80 = 80 = The GCF is The GCF is Greatest Common Factor – of two monomials is the product of their common factors (largest number that will go into 2 numbers) Greatest Common Factor – of two monomials is the product of their common factors (largest number that will go into 2 numbers) Which factors do each of these have in common?

4) Factor GCF of 10y y 10y 2 = 10y 2 = 15y = 15y = Which factors do each of these have in common? Use distributive property

5) Factor GCF of 21ab – 33a 2 bc 21ab = 21ab = 33a 2 bc = 33a 2 bc = Which factors do each of these have in common? Use distributive property

6) Factor GCF of 4x 3 – 12x 2 +20x 4x 3 = 4x 3 = 12x 2 = 12x 2 = 20x = 20x = Which factors do each of these have in common? Use distributive property

7) Factor GCF of 2x 3 + 4x 2 + 6x 2x 3 = 2x 3 = 4x 2 = 4x 2 = 6x = 6x = Which factors do each of these have in common? Use distributive property