Multiply the polynomial expression (x+2)(x−4)

To multiply the polynomial expressions \( (x + 2)(x - 4) \), we can use the distributive property (also known as the FOIL method for binomials):

\[
(x + 2)(x - 4) = x \cdot x + x \cdot (-4) + 2 \cdot x + 2 \cdot (-4)
\]

Calculating each term:

1. \( x \cdot x = x^2 \)
2. \( x \cdot (-4) = -4x \)
3. \( 2 \cdot x = 2x \)
4. \( 2 \cdot (-4) = -8 \)

Now, combine the like terms:

\[
x^2 - 4x + 2x - 8 = x^2 - 2x - 8
\]

So, the final result is:

\[
x^2 - 2x - 8
\]

The completed expression is:

\[
x^2 + (-2)x + (-8)
\]

Thus, filling in the blanks:

- The coefficient of \(x^2\) is 1,
- The coefficient of \(x\) is -2,
- The constant term is -8,

So, the answer is:

\_ 1 \_ -2 \_ -8