How to multiply trinomials - ACT Math

Card 0 of 4

Question

Simplify the following:

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.

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Question

Solve:

Answer

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

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Question

Which of the following is equal to ?

Answer

is multiplied to both and and is only multiplied to .

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Question

What is ?

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 .

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