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.
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Distribute \(x\) from the first polynomial: \[ x \cdot x + x \cdot (-2) = x^2 - 2x \]
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Distribute \(8\) from the first polynomial: \[ 8 \cdot x + 8 \cdot (-2) = 8x - 16 \]
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Combine all the terms: \[ x^2 - 2x + 8x - 16 \]
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Combine like terms (\(-2x + 8x\)): \[ x^2 + 6x - 16 \]
So, the polynomial can be rewritten as: \[ x^2 + 6x - 16 \]
Thus, filling in the blanks, we have: ___x^2 + ___x + ___
- First blank: 1
- Second blank: 6
- Third blank: -16
The completed answer is: ___1___x^2 + ___6___x + -16
1 answer