Intermediate Algebra (6th Edition)

$(x-18)(x+3)$
The two numbers whose product is $ac= 1(-54)=-54$ and whose sum is $b= -15$ are $\{ -18,3 \}$. Using these two numbers to decompose the middle term, then the factored form of the expression, $x^2-15x-54$, is \begin{array}{l}\require{cancel} x^2-18x+3x-54 \\\\= (x^2-18x)+(3x-54) \\\\= x(x-18)+3(x-18) \\\\= (x-18)(x+3) .\end{array}