f of x is equal to 7x minus 5 g of x is equal to x to the third power plus 4x and then they ask us to find f times g of x so the first thing to realize is that this notation, f times g of x, is just referring to a function that is the product of f of x and g of x so by definition, this notation just means f of x times g of x and then we just have to substitute f of x with this definition and g of x with this definition and then multiply out these algebraic expressions so f of x is right over there and g of x is right over there so lets do it so this is going to be equal to, switch back to the orange color, is going to be equal to f of x which is 7x minus five times g of x and g of x is x to the third power plus 4x and you could, if we were multiplying two expressions that each have two terms, you could use FOlL if you like i don't like using FOlL becuase you might forget what it's even about