Use the Distributive Property to rewrite the

Question

polynomial (x+8) (x-2). (2 points)
2
☐ x² +0x-
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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: \[ \boxed{x^2 + 6x - 16} \]