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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)

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

- 3x + 12
- 3x² + 12
- 7y³ + 14y²
- 6u²v³ + 21uv²

- 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

- x² + 3x + 2x + 6
- ac + ad + bc + bd
- ax – 3a + bx – 3b