ACT Math › How to multiply trinomials
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
.
Solve:
The is distributed and multiplied to each term
,
, and
.
Which of the following is equal to ?
is multiplied to both
and
and
is only multiplied to
.
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.