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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