Factoring Trinomials in the form x2 bx c

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Factoring Trinomials in the form x2 bx c

• Students will be able to factor certain
  trinomials.

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Factoring Trinomials

• Follow these steps to factor a trinomial in the
  form .
• First look at the last term and find all pairs of
  factors for that number or coefficient.
• Find the pair that produces the center term.

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Factoring Trinomials

1. If the last sign is positive, the two terms will
   both have the same sign.
2. If the last sign is negative, the two terms will
   have different signs.
3. Choose the pair of factors that you want to use.
4. Put those factors with the signs into this form

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Example
To start look at the last term. Find all pairs
of factors of that number. Since the last term is
negative, the signs of the two factors must be
different.
-1 and 12 -2 and 6 -3 and 4
1 and -12 2 and -6 3 and -4
Which pair will give you a positive 1 when you
combine them?
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Examples

• Find the binomial factors for the following, if
  possible
• 4.
• 5.
• 6.