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Polynomials: Factoring by Grouping

Factor the following polynomials into binomials by grouping:

  1. $2x^2+6x+7x+21$
  2. $3x^2-9x-8x+24$
  3. $4x^2-28x+12x-84$
  4. $2x^2+26x-3x-39$
  5. $16x^2+48x-14x-42$
  6. $x^3-3x^2-4x+12$
  7. $x^3+2x^2+3x+6$
  8. $2x^3+2x^2-2x-2$
  9. $3x^3+27x^2-x-9$
  10. $2x^5-4x^4-3x+6$