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5-4 Factoring M11.D.2 2.1.11.A. Objectives: To factor polynomials with a common factor. To identify and factor trinomial squares. To factor the difference of squares. PDN: FOIL (x + 2)(x + 3) (2x – 1)(2x + 1). Vocab.

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5 4 factoring m11 d 2 2 1 11 a

5-4 FactoringM11.D.2 2.1.11.A

Objectives:

To factor polynomials with a common factor.

To identify and factor trinomial squares.

To factor the difference of squares.

PDN: FOIL

(x + 2)(x + 3)

(2x – 1)(2x + 1)


Vocab
Vocab

  • To factor an expression means to write it as an equivalent expression that is a product. Factoring is the reverse of multiplying.


Examples factor out a common factor
Examples: Factor out a common factor

  • 3x + 12

  • 3x² + 12

  • 7y³ + 14y²

  • 6u²v³ + 21uv²



Vocab1
Vocab

  • Greatest Common Factor (gcf) – factor out all common factors, both numbers and variables.


Examples factor when a 1
Examples: Factor when a = 1

  • x² + 6x + 8

  • x² -7x + 10

  • x² + 4x - 5


Factor when a 1
Factor when a = 1

  • x² - 4x -5

  • x² -8x + 16

  • x² + 8x + 16



Examples factor
Examples: Factor

  • x² - 25

  • 9x² - 16y²

  • 64x - 16y²



Examples factor by grouping
Examples: Factor by Grouping

  • x² + 3x + 2x + 6

  • ac + ad + bc + bd

  • ax – 3a + bx – 3b


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