factors

Should this not have an equals sign in it?

r²+3r-54 is simplified enough. If you want the binomial, let's try it out.

we know that they both have to start with r, so the equation will start out as (r+n₁)(r+n₂)

Let's find two number that when they are added together equal 3 and when are multiplied together equal -54.

Let's try 9 and -6.

9+-6=3

9*(-6)=-54

So, the binomial is (r+9)(r-6)