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Guide to Multiplying a Binomial and a Trinomial (Enter your example problem here)
Step 1: You make a table with each set of parenthesis  4x 3 6x 2  x 0 +12x -1 (4x 3 +6x 2  -10x 1 ) (x 0 +12x -1 ) -10 1
Step 2: You multiply each axis of the table you made 4x 3 6x 2  x 0 +12x -1 (4x 3 +6x 2  -10x 1 ) (x 0 +12x -1 ) -10 1 4x 3 6x 2 -10x 1 48x 2 72x 1 120x 0
Step 3: You write your problem out in order from greatest to least exponent 4x 3 6x 2  x 0 +12x -1 (4x 3 +6x 2  -10x 1 ) (x 0 +12x -1 ) 4x 3 +48x 2 +6x 2 +72x 1 - 10x 1 +120x 0 -10 1 4x 3 6x 2 -10x 1 48x 2 72x 1 120x 0
Step 4: You simplify your answer by combining like terms 4x 3 6x 2  x 0 +12x -1 (4x 3 +6x 2  -10x 1 ) (x 0 +12x -1 ) 4x 3 +48x 2 +6x 2 +72x 1 - 10x 1 +120x 0 -10 1 4x 3 +54x 2 +62x 1 +120x 0 4x 3 6x 2 -10x 1 48x 2 72x 1 120x 0

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Multiplying Binomials and Trinomials

  • 1. Guide to Multiplying a Binomial and a Trinomial (Enter your example problem here)
  • 2. Step 1: You make a table with each set of parenthesis 4x 3 6x 2 x 0 +12x -1 (4x 3 +6x 2 -10x 1 ) (x 0 +12x -1 ) -10 1
  • 3. Step 2: You multiply each axis of the table you made 4x 3 6x 2 x 0 +12x -1 (4x 3 +6x 2 -10x 1 ) (x 0 +12x -1 ) -10 1 4x 3 6x 2 -10x 1 48x 2 72x 1 120x 0
  • 4. Step 3: You write your problem out in order from greatest to least exponent 4x 3 6x 2 x 0 +12x -1 (4x 3 +6x 2 -10x 1 ) (x 0 +12x -1 ) 4x 3 +48x 2 +6x 2 +72x 1 - 10x 1 +120x 0 -10 1 4x 3 6x 2 -10x 1 48x 2 72x 1 120x 0
  • 5. Step 4: You simplify your answer by combining like terms 4x 3 6x 2 x 0 +12x -1 (4x 3 +6x 2 -10x 1 ) (x 0 +12x -1 ) 4x 3 +48x 2 +6x 2 +72x 1 - 10x 1 +120x 0 -10 1 4x 3 +54x 2 +62x 1 +120x 0 4x 3 6x 2 -10x 1 48x 2 72x 1 120x 0