### All ACT Math Resources

## Example Questions

### Example Question #1 : How To Multiply Trinomials

Simplify the following:

**Possible Answers:**

**Correct answer:**

To multiply trinomials, simply foil out your factored terms by multiplying each term in one trinomial to each term in the other trinomial. I will show this below by spliting up the first trinomial into its 3 separate terms and multiplying each by the second trinomial.

Now we treat this as the addition of three monomials multiplied by a trinomial.

Now combine like terms and order by degree, largest to smallest.

### Example Question #2 : How To Multiply Trinomials

Solve:

**Possible Answers:**

**Correct answer:**

The is distributed and multiplied to each term , , and .

### Example Question #3 : How To Multiply Trinomials

Which of the following is equal to ?

**Possible Answers:**

**Correct answer:**

is multiplied to both and and is only multiplied to .

### Example Question #4 : How To Multiply Trinomials

What is ?

**Possible Answers:**

**Correct answer:**

is distributed first to and is distributed to . This results in and . Like terms can then be added together. When added together, , , and . This makes the correct answer .