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Answer :
Final answer:
To find the quadratic expression represented by the factors (2x - 5) and (7 - 4x), we multiply each term in the first factor with each term in the second, then simplify the result. The correct answer is -8x² + 34x - 35.
Explanation:
The task involves determining the quadratic expression from given factors. In this case, it's the product of (2x - 5) and (7 - 4x). To determine the quadratic expression, simply multiply each term in the first factor by each term in the second factor.
The multiplication process yields: (2x * 7) - (2x * 4x) - (5 * 7) + (5 * 4x) = 14x - 8x² - 35 + 20x. Combining like terms gives us -8x² + 34x - 35.
Therefore, the correct answer is: -8x² + 34x - 35.
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