How do you write the product as a trinomial #(3x + 2)(2x - 3)#?
Multiply each term in one expression times each term in the other, then simplify by combining like terms.
There are other possible descriptions. Here is one of them:
To write the product
(In algebra, 'terms' are things that are added together.)
So we need to multiply
he we will multiply
So here's how we can write that:
# = 6x^2-9x+4x-6#
Now I see two terms involving
# = 6x^2-5x-6#
Notice, now that we're finished, that the answer turns out to be a trinomial.
The instructions included the word 'trinomial' to try to make it clear that they didn't want us to rewrite the product in some other way -- like by changing the order, or by not combining like terms or doing some other way of rewriting.