**trinomials**- polynomials with three terms. Students find this difficult at first. However, with much practice factoring trinomials becomes routine. If a trinomial factors, then it will factor into the product of two binomials.

**Factor**:

**Step 1**: Factor the first term: x^2 = x*x.

**Step 2**: Factor the last term. Choose factors that add or subtract to obtain the middle term.

**Step 3**: Determine the signs by adding or subtracting the product of the inner and outer terms.

**Step 4**: Check by multiplying.

"Can I add or subtract 1 and 12 to obtain 7?" – NO

"Can I add or subtract 2 and 6 to obtain 7?" – NO "Can I add or subtract 3 and 4 to obtain 7?" – YES, because +3 + 4 = +7

**Factor the trinomials**.

**or**

*guess and check***. The biggest problem occurs when the signs are improperly chosen. With this in mind, you should take care to check your results by multiplying. Also, since multiplication is commutative order does not matter, in other words**

*trial and error***Factor the trinomials**.

**Video Examples on YouTube**: