Use the Distributive Property to rewrite the polynomial (x+8)(x−2)%0D%0A(%0D%0A𝑥%0D%0A+%0D%0A8%0D%0A)%0D%0A(%0D%0A𝑥%0D%0A−%0D%0A2%0D%0A)%0D%0A .

Answer 1

To rewrite the polynomial \((x+8)(x−2)\) using the Distributive Property, we'll distribute each term in the first binomial by each term in the second binomial.

1. Start with the expression: \[ (x + 8)(x - 2) \]

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

3. Next, distribute \(8\) to both terms in the second binomial \((x - 2)\): \[ 8 \cdot (x) + 8 \cdot (-2) = 8x - 16 \]

4. Now combine all the distributed terms: \[ x^2 - 2x + 8x - 16 \]

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

Thus, the expression \((x + 8)(x - 2)\) can be rewritten using the Distributive Property as: \[ x^2 + 6x - 16 \]

Answer 2

write the equation

Answer 3

The equation from the polynomial obtained by using the Distributive Property for \((x + 8)(x - 2)\) is:

\[ y = x^2 + 6x - 16 \]

This represents the polynomial equation after expanding the product. If you want to set it equal to something (like 0 for finding roots), you could write:

\[ x^2 + 6x - 16 = 0 \]

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