Question

Use the Distributive Property to rewrite the polynomial (x+8)(x−2)
.(2 points)
x2+
x+
Remaining Attempts : 3

Answer 1

To apply the Distributive Property to the polynomial \((x+8)(x−2)\), you need to distribute each term in the first binomial by each term in the second binomial. Here’s how you can do it step by step:

1. Distribute \(x\) in \((x + 8)\):
- \(x \cdot x = x^2\)
- \(x \cdot (-2) = -2x\)

2. Distribute \(8\) in \((x + 8)\):
- \(8 \cdot x = 8x\)
- \(8 \cdot (-2) = -16\)

3. Combine all the terms together:
\[
x^2 - 2x + 8x - 16
\]

4. Combine like terms (\(-2x\) and \(8x\)):
\[
x^2 + 6x - 16
\]

Now, you can fill in the blanks for your polynomial:

\(x^2 + 6x - 16\)

So the answer is:
- \(x^2 + 6x - 16\)