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# 5-4 Factoring M11.D.2 2.1.11.A PowerPoint PPT Presentation

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.

5-4 Factoring M11.D.2 2.1.11.A

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## 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

• 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

• 3x + 12

• 3x² + 12

• 7y³ + 14y²

• 6u²v³ + 21uv²

### Vocab

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

• x² + 6x + 8

• x² -7x + 10

• x² + 4x - 5

• x² - 4x -5

• x² -8x + 16

• x² + 8x + 16

• x² - 25

• 9x² - 16y²

• 64x - 16y²

### Examples: Factor by Grouping

• x² + 3x + 2x + 6

• ac + ad + bc + bd

• ax – 3a + bx – 3b