Question

Use the Distributive Property to rewrite the
polynomial (x+8) (x-2). (2 points)
2
☐ x² +0x-
Check answer
Remaining Attempts : 3

Answer 1

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

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

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

Now combine all these results:
\[
x^2 - 2x + 8x - 16
\]

Next, combine like terms:
\[
x^2 + (8x - 2x) - 16 = x^2 + 6x - 16
\]

So, the polynomial \((x + 8)(x - 2)\) can be rewritten as:
\[
\boxed{x^2 + 6x - 16}
\]