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Factoring Using GCF’s. 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. / \. 4 x 9.

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factoring using gcf s

Factoring Using GCF’s

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

factoring
Factoring

36

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

/ \

4 x 9

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

/ \

/ \

2 x 2

3 x 3

factor tree
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

/ \

/ \

4 x 6

8 x 3

/ \

/ \

/ \

2 x 2

2 x 3

4 x 2

/ \

2 x 2

greatest common factor gcf
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.

/ \

/ \

/ \

/ \

2 x 2

2 x 3

2 x 2

3 x 3

4x3=12

factoring polynomials
Factoring Polynomials
  • Objectives: Use the GCF and the Distributive property to factor polynomials
factoring polynomials1
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 polynomials2
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
Factoring trinomials
  • Objectives: Factor GCF’s from trinomials in the form X2+bx+c
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