In this problem, two binomials are being multiplied.
First, you see the First terms multiplied together, x^2 and -5x^2.
Then you see the Outside terms multiplied together, x^2 and x.
Next, you see the Inside terms multiplied together, -2 and -5x^2.
Finally, the Last terms are multiplied together, -2 and x.
Put together the bold letters above and you spell FOIL.
FOIL is a way to remember how to multiply two binomials.
F - multiply the First terms.
O - multiply the Outside terms.
I - multiply the Inside terms.
L - multiply the Last terms.
In general, to multiply to binomials
(a + b)(c + d) =
F: ac
O: ad
I: bc
L: bd
= ac + ad + bc + bd
Answer: Choice A. FOIL
