How to multiply trinomials

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ACT Math › How to multiply trinomials

Questions 1 - 4
1

What is ?

Explanation

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 .

2

Solve:

Explanation

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

3

Which of the following is equal to ?

Explanation

is multiplied to both and and is only multiplied to .

4

Simplify the following:

Explanation

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.

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