High School

Select the correct answer.

Which quadratic expression represents the product of these factors: [tex](2x + 5)(7 - 4x)[/tex]?

A. [tex]-8x^2 + 34x - 35[/tex]
B. [tex]-8x^2 + 6x - 35[/tex]
C. [tex]-8x^2 - 34x + 35[/tex]
D. [tex]-8x^2 - 6x + 35[/tex]

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.

Learn more about Quadratic Expressions here:

https://brainly.com/question/31368124

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