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(8x 7 +4x 3 +1)(9x 4 +3) Guide to Multiplying a Binomial and a Trinomial Trinomial Binomial
Step 1: You have to make a 3x2 table and put the monomials along the outside.  8x 7 4x 3 1 9x 4 3
Step 2:Multiplying down and straight across to fill in the boxes. 8x 7 4x 3 1 9x 4 3 3 12x 4 24x 8 9x 4 36x 7 72x 11
Step 3: Using the numbers from the table, write your equation. 8x 7 4x 3 1 9x 4 3 Equation: 72x 11 +36x 7 +24x 7 +12x 4 +9x 4 +3 3 12x 4 24x 7 9x 4 36x 7 72x 11
Step 4: The last step is to combine the like terms. 8x 7 4x 3 1 9x 4 3 Equation: 72x 11 +36x 7 +24x 7 +12x 4 +9x 4 +3 Final Equation: 72x 11 +60x 7 +21x 4 +3 3 12x 4 24x 7 9x 4 36x 7 72x 11

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Multiplying Trinomials and Binomials

  • 1. (8x 7 +4x 3 +1)(9x 4 +3) Guide to Multiplying a Binomial and a Trinomial Trinomial Binomial
  • 2. Step 1: You have to make a 3x2 table and put the monomials along the outside. 8x 7 4x 3 1 9x 4 3
  • 3. Step 2:Multiplying down and straight across to fill in the boxes. 8x 7 4x 3 1 9x 4 3 3 12x 4 24x 8 9x 4 36x 7 72x 11
  • 4. Step 3: Using the numbers from the table, write your equation. 8x 7 4x 3 1 9x 4 3 Equation: 72x 11 +36x 7 +24x 7 +12x 4 +9x 4 +3 3 12x 4 24x 7 9x 4 36x 7 72x 11
  • 5. Step 4: The last step is to combine the like terms. 8x 7 4x 3 1 9x 4 3 Equation: 72x 11 +36x 7 +24x 7 +12x 4 +9x 4 +3 Final Equation: 72x 11 +60x 7 +21x 4 +3 3 12x 4 24x 7 9x 4 36x 7 72x 11