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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. 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

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  1. Factoring Using GCF’s Objectives: Find the greatest common factors of a set of numbers or monomials

  2. 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

  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 / \ / \ 4 x 6 8 x 3 / \ / \ / \ 2 x 2 2 x 3 4 x 2 / \ 2 x 2

  4. 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

  5. Prime factors

  6. Factoring Polynomials • Objectives: Use the GCF and the Distributive property to factor polynomials

  7. 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.

  8. 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.

  9. Let’s Try

  10. Factoring trinomials • Objectives: Factor GCF’s from trinomials in the form X2+bx+c

  11. Factoring trinomials

  12. Classwork/Homework

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