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

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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 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.
Examples: Factor when a = 1
• x² + 6x + 8
• x² -7x + 10
• x² + 4x - 5
Factor when a = 1
• x² - 4x -5
• x² -8x + 16
• x² + 8x + 16
Examples: Factor
• x² - 25
• 9x² - 16y²
• 64x - 16y²
Examples: Factor by Grouping
• x² + 3x + 2x + 6
• ac + ad + bc + bd
• ax – 3a + bx – 3b