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Mnemonic Devices > Math > Factoring a Trinomial with a Lead Coefficient

Factoring a Trinomial with a Lead Coefficient

 trinomial

The "3R" Method:
  1. "R"emove the lead coefficient, but don't throw it away. Multiply the constant with the lead coefficent.
  2. Factor the remaining trinomial
  3. 3. "R"eplace the lead coefficent you removed. Put it in front of both x's.
  4. 4. "R"educe! Reduce the numbers in each set of parenthesis, as you would a fraction, to lowest terms.
  5. 5. Optional - use the FOIL method to check and see that I am right.
*note: if the three numbers in the trinomial have a common factor it must be factored out in the beginning for the "3R" method to work.

Thanks to Lyle O'Neal
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