ACT Math : How to multiply trinomials

Example Questions

Example Question #56 : Polynomials

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.

Example Question #57 : Polynomials

Solve:

Explanation:

The  is distributed and multiplied to each term , and .

Example Question #58 : Polynomials

Which of the following is equal to ?

Explanation:

is multiplied to both  and  and  is only multiplied to .

What is ?