How to multiply trinomials - ACT Math
Card 0 of 36
Simplify the following:

Simplify the following:
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.

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.
Compare your answer with the correct one above
Solve: 
Solve:
The
is distributed and multiplied to each term
,
, and
.
The is distributed and multiplied to each term
,
, and
.
Compare your answer with the correct one above
Which of the following is equal to
?
Which of the following is equal to ?
is multiplied to both
and
and
is only multiplied to
.
is multiplied to both
and
and
is only multiplied to
.
Compare your answer with the correct one above
What is
?
What is ?
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
.
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
.
Compare your answer with the correct one above
Simplify the following:

Simplify the following:
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.

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.
Compare your answer with the correct one above
Solve: 
Solve:
The
is distributed and multiplied to each term
,
, and
.
The is distributed and multiplied to each term
,
, and
.
Compare your answer with the correct one above
Which of the following is equal to
?
Which of the following is equal to ?
is multiplied to both
and
and
is only multiplied to
.
is multiplied to both
and
and
is only multiplied to
.
Compare your answer with the correct one above
What is
?
What is ?
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
.
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
.
Compare your answer with the correct one above
Simplify the following:

Simplify the following:
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.

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.
Compare your answer with the correct one above
Solve: 
Solve:
The
is distributed and multiplied to each term
,
, and
.
The is distributed and multiplied to each term
,
, and
.
Compare your answer with the correct one above
Which of the following is equal to
?
Which of the following is equal to ?
is multiplied to both
and
and
is only multiplied to
.
is multiplied to both
and
and
is only multiplied to
.
Compare your answer with the correct one above
What is
?
What is ?
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
.
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
.
Compare your answer with the correct one above
Solve: 
Solve:
The
is distributed and multiplied to each term
,
, and
.
The is distributed and multiplied to each term
,
, and
.
Compare your answer with the correct one above
Simplify the following:

Simplify the following:
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.

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.
Compare your answer with the correct one above
Which of the following is equal to
?
Which of the following is equal to ?
is multiplied to both
and
and
is only multiplied to
.
is multiplied to both
and
and
is only multiplied to
.
Compare your answer with the correct one above
What is
?
What is ?
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
.
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
.
Compare your answer with the correct one above
Solve: 
Solve:
The
is distributed and multiplied to each term
,
, and
.
The is distributed and multiplied to each term
,
, and
.
Compare your answer with the correct one above
Simplify the following:

Simplify the following:
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.

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.
Compare your answer with the correct one above
Which of the following is equal to
?
Which of the following is equal to ?
is multiplied to both
and
and
is only multiplied to
.
is multiplied to both
and
and
is only multiplied to
.
Compare your answer with the correct one above
What is
?
What is ?
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
.
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
.
Compare your answer with the correct one above