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Guide to Multiplying a Binomial and a Trinomial (7x3+5x2+1x1) (4x7+6x3)
Step 1:  Put the numbers on the grid vertical starting off with the numbers in the first parenthesis and putting the other set horizontal  (       7x5         + 5x2  +     1x1 4x7 +6x3
Step 2:  multiply the number and  add the exponets.  (       7x5         + 5x2  +     1x1 4x7 +6x3 28x12 20x9 4x8 6x8 30x5 6x4
Step 3: put the numbers together in order of exponents from largest to biggest. 28x12+20x9+ 4x8+6x8+30x5+6x4
Step 3: ( the combine like terms. Find the two matching exponents and add  the numbers and keep the exponent the same.) 28x12 +20x9+4x8 +6x8+30x5 +6x4 28x12+20x9+10x8+30x5+6x4
Step 4: (you have your answer.)  28x12+20x9+10x8+30x5+6x4

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Multiplying polynomials

  • 1. Guide to Multiplying a Binomial and a Trinomial (7x3+5x2+1x1) (4x7+6x3)
  • 2. Step 1: Put the numbers on the grid vertical starting off with the numbers in the first parenthesis and putting the other set horizontal ( 7x5 + 5x2 + 1x1 4x7 +6x3
  • 3. Step 2: multiply the number and add the exponets. ( 7x5 + 5x2 + 1x1 4x7 +6x3 28x12 20x9 4x8 6x8 30x5 6x4
  • 4. Step 3: put the numbers together in order of exponents from largest to biggest. 28x12+20x9+ 4x8+6x8+30x5+6x4
  • 5. Step 3: ( the combine like terms. Find the two matching exponents and add the numbers and keep the exponent the same.) 28x12 +20x9+4x8 +6x8+30x5 +6x4 28x12+20x9+10x8+30x5+6x4
  • 6. Step 4: (you have your answer.) 28x12+20x9+10x8+30x5+6x4