Factoring using GCF Algebra I Definitions Prime number
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) 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) 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 180 = • 1) Factor 180 List them in numerical order Now list out All the Prime factors
2) Find the GCF of 54, 63, 180 • 54 = • 63 = • 180 = Which factors do each of these have in common? • The GCF is • Greatest Common Factor – of two monomials is the product of their common factors (largest number that will go into 2 numbers)
3) Find the GCF of 24, 64, 80 • 24 = • 64 = • 80 = Which factors do each of these have in common? • The GCF is • Greatest Common Factor – of two monomials is the product of their common factors (largest number that will go into 2 numbers)
4) Factor GCF of 10 y 2 + 15 y • 10 y 2 = • 15 y = Use distributive property Which factors do each of these have in common?
5) Factor GCF of 21 ab – 33 a 2 bc • 21 ab = • 33 a 2 bc = Use distributive property Whi do e ch fact o have ach of t rs in co hese mm on?
6) Factor GCF of 4 x 3 – 12 x 2 +20 x • 4 x 3 = • 12 x 2 = • 20 x = Use distributive property Whi do e ch fact o have ach of t rs in co hese mm on?
7) Factor GCF of 2 x 3 + 4 x 2 + 6 x • 2 x 3 = • 4 x 2 = • 6 x = Use distributive property Whi do e ch fact o have ach of t rs in co hese mm on?
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