In this video, we are going to look at how to multiply a binomial by a trinomial. After you finish this lesson, view all of our Algebra 1 lessons and practice problems.
To multiply we have to distribute each term in the binomial to each term in the trinomial.
When we distribute the x to the terms in the trinomial, we get , , and. When we distribute the 6 to the trinomial, we get ,, and . So now we are left with
From here, we want to combine like terms, to give us a final answer of
Let’s go over multiplying a binomial by a trinomial.
It’s a two-term expression times a three-term expression.
Similar in multiplying a binomial by a binomial, we have to distribute each term on the first expression into each term of the second expression.
Then combine like terms
The answer would still be the same even if we write the expressions like this:
If you take a closer look, this is the same as our answer above, they are just in different order.
So when we combine like terms, our answer is
Both cases will give us the same answer.