Factoring Trinomials Completely (1.8.3)

Question 1

• Trinomial:

Answer 1

• Trinomial: A polynomial with three terms, generally a variable squared, a variable to the first power, and a constant.

Question 2

• Factoring To-Do List:

Answer 2

• Factor out any factors common to every term.
• Look for a way to group terms and factor.
• Break up squared terms.

Question 3

• FOIL:

Answer 3

A shortcut way to remember how to multiply when you have two binomials to multiply with each other. FOIL
means that you multiply as follows:
• First terms in each group multiply together.
• Outer terms in each group multiply together.
• Inside terms in each group multiply together.
• Last terms in each group multiply together.
Now, combine any terms you can. Usually, the result will be a trinomial.

Question 4

• Check signs and coefficients carefully

Answer 4

• Check signs and coefficients carefully