Let f (x) = x+7 and g (x) = x-4. Find f (x) times g (x)

x² + 3x - 28

Step-by-step explanation:

We need f (x) * g (x), or

(x + 7) (x - 4)

Use FOIL to multiply, Foil is Firsts, Outsides, Insides, Lasts. It tells you the terms to multiply together ...

Firsts: x (x) = x²

Outsides: x (-4) = - 4x

Insides: 7 (x) = 7x

Lasts: (7) (-4) = - 28

So we have

x² - 4x + 7x - 28

simplify to

x² + 3x - 28