The document discusses the application of the distributive property when multiplying a negative monomial by a trinomial with varying signs, illustrated by the example -3x(2xy + 3y - 2x). It explores common pitfalls, particularly sign errors that students encounter in such problems. The document also advises on strategies to help students overcome difficulties with signs.

1. Negative Monomial Times a Trinomial
Give an example of using the distributive property for a
negative monomial times a trinomial with different signs on the
terms [for example: -3x(2xy + 3y - 2x)] and show each STEP of
the distribution. Why do you think many students make sign
errors on this type of problem? What would be your advice to a
student who has trouble with the signs?