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Factoring using GCF

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

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Factoring using GCF

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  1. FactoringusingGCF Algebra I

  2. Definitions • Prime number – is a whole number whose only factors are itself and one (a number can’tbe 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.

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

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

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

  6. 4) Factor GCF of 10y2 + 15y Which factors do each of these have in common? • 10y2 = • 15y = Use distributive property

  7. You try it 5) Factor GCF of 21ab – 33a2bc • 21ab = • 33a2bc = Which factors do each of these have in common? Use distributive property

  8. 6) Factor GCF of 4x3 – 12x2 +20x Which factors do each of these have in common? • 4x3 = • 12x2 = • 20x = Use distributive property

  9. You try it 7) Factor GCF of 2x3 + 4x2 + 6x • 2x3 = • 4x2 = • 6x = Which factors do each of these have in common? Use distributive property

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