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Factoring Quadratic Trinomials a = 1

Factoring Quadratic Trinomials a = 1. Chapter 10.5. RECALL: FOIL. Example: Multiply using the FOIL method. (7 x + 3)(2 x + 4) . O. F. (7 x + 3)(2 x + 4). I. L. F. O. I. L. = (7 x )(2 x ). + (7 x )(4). + (3)(2 x ). + (3)(4).

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Factoring Quadratic Trinomials a = 1

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  1. Factoring Quadratic Trinomialsa = 1 Chapter 10.5

  2. RECALL: FOIL Example: Multiply using the FOIL method. (7x + 3)(2x + 4) O F (7x + 3)(2x + 4) I L F O I L = (7x)(2x) + (7x)(4) + (3)(2x) + (3)(4) = 14x2 + 28x+ 6x + 12 = 14x2 + 34x + 12

  3. Factoring Quadratic Trinomials • Factoring is “undoing” FOIL. • Starting with an expression like • x2 + 3x + 2 • We’re going to rewrite this as the product of 2 binomials. X + 2 ( )( ) X + 1

  4. Standard Form: ax2 + bx + c • The Standard Form of any Quadratic Trinomials is ax2 + bx + c So for the example, 3x2 − 4x + 1 a = 3 b = −4 c = 1

  5. Standard Form: ax2 + bx + c • EX. Find a, b and c • 4x2 + x − 2 • 2x2 − x + 5 • − x2 + 2x − 4 • x2 + 3x + 2

  6. Factoring: ax2 + bx + c when a = 1 Find the two numbers whose product equals c AND whose sum equals b

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