Question

Use the Distributive Property to rewrite the polynomial (x+8)(x−2)

Answer 1

so what is the answer?

Answer 2

To use the Distributive Property to rewrite the polynomial \((x + 8)(x - 2)\), we will distribute each term in the first polynomial to each term in the second polynomial.

Here are the steps:

1. Distribute \(x\) from the first polynomial to both terms in the second polynomial:
\[
x \cdot x + x \cdot (-2) = x^2 - 2x
\]

2. Now, distribute \(8\) from the first polynomial to both terms in the second polynomial:
\[
8 \cdot x + 8 \cdot (-2) = 8x - 16
\]

3. Combine the results from both distributions:
\[
x^2 - 2x + 8x - 16
\]

4. Now, combine the like terms \(-2x\) and \(8x\):
\[
x^2 + 6x - 16
\]

Thus, the polynomial \((x + 8)(x - 2)\) rewritten using the Distributive Property is:
\[
\boxed{x^2 + 6x - 16}
\]

Answer 3

The answer to rewriting the polynomial \((x + 8)(x - 2)\) using the Distributive Property is:

\[
\boxed{x^2 + 6x - 16}
\]