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Mastering Trinomials: The Tabletop Method for Factoring Polynomials

Dive into the world of factoring polynomials with the Tabletop Method! This engaging guide walks you through the process of finding two numbers whose product equals a specified value while also ensuring their sum matches a predetermined cross sum. With practical examples, like finding factors for products of 12, 2, and 15, you'll learn how to efficiently factor tricky trinomials. Complete the exercises on page 109 (#2, 4–14) to test your understanding and enhance your math skills.

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Mastering Trinomials: The Tabletop Method for Factoring Polynomials

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  1. 2.4 – Factoring Polynomials Tricky Trinomials The Tabletop Method

  2. Find two numbers whose product is 12 Find two numbers whose product is 2 The cross sum must be 11 2x2 + 1x6 =10 . . . Cross sum is not 11… try again 2x4 + 1x3 =11 . . . Cross sum is11… You Win!! 2x6 + 1x2 =14 . . . Cross sum is not 11… try again

  3. Find two numbers whose product is 2 Find two numbers whose product is 15 The cross sum must be 13 3x1 + 5x2 =13 . . . Cross sum IS 13… YOU WIN! 5x1 + 3x2 =11 . . . Cross sum is not 13… try again

  4. Find two numbers whose product is -35 Find two numbers whose product is 3 The cross sum must be 8 3x5 + -7x1 =8 . . . Cross sum IS 8… YOU WIN!

  5. Factor: ( ) ( )

  6. Factor: ( ) ( )

  7. Homework: Page 109 #2, 4 – 14

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