# Multiplying a Binomial by a Trinomial

In this video, we are going to look at how to multiply a binomial by a trinomial.
For example:
To multiply $(x+6)(x^2+4x-5)$ 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 $x^3$, $4x^2$, and$-5x$. When we distribute the 6 to the trinomial, we get $6x^2$,$24x$, and $-30$. So now we are left with
$x^3+4x^2-5x+6x^2+24x-30$
From here, we want to combine like terms, to give us a final answer of
$x^3+10x^2+16x-30$

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Used by students across the country. Pre-Algebra, Algebra I, Geometry, & Algebra II