5-4 Factoring M11.D A Objectives: 1) To factor polynomials with a common factor. 2) To identify and factor trinomial squares. 3) To factor the difference of squares. PDN: FOIL 1) (x + 2)(x + 3) 2) (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 1) 3x ) 3x ² ) 7y³ + 14y² 4) 6u²v³ + 21uv²

Try This Pg. 219 a-c

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

Examples: Factor when a = 1 1) x ² + 6x + 8 2) x² -7x ) x² + 4x - 5

Factor when a = 1 4) x ² - 4x -5 5) x² -8x ) x² + 8x + 16

Try This Pg. 220 d

Examples: Factor 1) x ² ) 9x² - 16y² 3) 64x - 16y²

Try This Pg. 221 j - l

Examples: Factor by Grouping 1) x ² + 3x + 2x + 6 2) ac + ad + bc + bd 3) ax – 3a + bx – 3b