Question

Multiply the polynomial expression (x+2)(x−4) .(2 points)
x2+x+

Answer 1

To multiply the polynomial expressions \((x + 2)(x - 4)\), you can use the distributive property (FOIL method):

1. **First terms:** \(x \cdot x = x^2\)
2. **Outer terms:** \(x \cdot (-4) = -4x\)
3. **Inner terms:** \(2 \cdot x = 2x\)
4. **Last terms:** \(2 \cdot (-4) = -8\)

Now, combine all these results:

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

Combine like terms:

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

So, the result of multiplying \((x + 2)(x - 4)\) is:

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