Answer
$(x-10)(x+2)$
Work Step by Step
We decompose the middle term and group terms:
$x^2-8x-20$
$=x^2+2x-10x-20$
$x(x+2)-10(x+2)$
$(x-10)(x+2).$
Therefore two binomials that must be multiplied using the FOIL method to give the given product are $x-10$ and $x+2$.
