Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.

Factoring

924 views

Published on

Review of GCF, Difference of Squares and Trinomial factoring

Published in: Economy & Finance, Business
  • Be the first to comment

  • Be the first to like this

Factoring

  1. 2. <ul><li>To Factor: Write a polynomial as a product. </li></ul><ul><li>Kinds of Factoring: </li></ul><ul><li>GCF </li></ul><ul><li>Difference of Squares </li></ul><ul><li>Trinomials </li></ul>
  2. 3. GCF: - can be done with any number of terms - find what is “common” to both Factor using GCF: 1. Look For… (GCF = 6) <ul><li>A Number that </li></ul><ul><li>goes into all terms </li></ul><ul><li>A variable that is </li></ul><ul><li>common to all terms </li></ul>When you have found the GCF, divide each term by the GCF. =6(x + 2) 2. (GCF = 10x) =10x(x – 3) 3. (GCF = 3) =3(9x 2 + 3x – 2)
  3. 4. Difference of Squares: 1. Binomial 2. Must be “-” 3. Both terms must be perfect squares 1. 2. 3. a 2 – b 2 = (a + b)(a – b) (2x + 3)(2x – 3) Use the square roots of the terms! (10x + 9)(10x – 9)
  4. 5. Factoring Trinomials Two Types: in the form x 2 + bx + c OR ax 2 + bx + c For the form x 2 + bx + c, … Review: Multiply (x + 4)(x + 2) Note: The two numbers in the quantities add up to 6 and multiply to 8. (x + ____)(x + ____) The two numbers must have a sum of “b” and a product of “c”.
  5. 6. Factor: 1. 2. 3. 4. (Think of 2 numbers that multiply to 10 and add to 7). (x + 5)(x + 2) Multiply to -16 and add to -6. (x – 8)(x + 2) (Multiply to -24 and add to 10). (x + 12)(x – 2) (Multiply to 34 and add to -35). (x – 34)( X - 1)
  6. 7. The first coefficient of 2 must be “split” as well as the last constant of 3 must be “split” so that the “inners” + “outers” = 7 Factoring ax 2 + bx + c: (____X + ____)(____X + ____) The blanks with the x must multiply to 2 The blanks after the “+” must multiply to 3. When you multiply the inners and outers they must add to 7 (2x + 1)(x + 3) Check with FOIL
  7. 8. Factor: 1. 2. 3. (4x + 1)(2x – 3) Find factors of 8 and factors of 3 (3x – 1)(2x + 7) (6x + 1 )(x – 10)

×