OregonDuck
  • OregonDuck
FAN AND MEDAL Part C: If the two middle terms were switched so that the expression became 3x3y - 9x2y + 12xy - 36y, would the factored expression no longer be equivalent to your answer in part B? Explain your reasoning. (3 points)
Mathematics
schrodinger
  • schrodinger
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OregonDuck
  • OregonDuck
OregonDuck
  • OregonDuck
Part A: 3x^3y+12xy−9x^2y−36y GCF of numbers = 3 GCF of y terms = y 3x^3y+12xy−9x^2y−36y after factoring the 3 : 3(x^3y+4xy−3x^2y−12y) after factoring the y : 3y(x^3+4x−3x^2−12)
OregonDuck
  • OregonDuck
Part B: 3y(x^3+4x−3x^2−12) Factoring out GCF from first two terms gives : 3y(x(x^2+4)−3x^2−12) 3y(x^3+4x−3x^2−12) Factoring out GCF from first two terms gives : 3y(x(x^2+4)−3x^2−12) Factoring the GCF from last two terms gives : 3y(x(x^2+4)−3(x^2+4)) factoring out the (x^2+4) from the terms inside parenthesis gives : 3y(x^2+4)(x−3)

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