Question

which quadratic expression represents the product of these factors? (2x + 5)(7 - 4x) a. -8x² - 6x + 35 b. -8x² + 6x - 35 c. -8x² + 34x - 35 d. -8x² - 34x + 35

Explanation:

Step1: Apply FOIL method

$(2x)(7) + (2x)(-4x) + 5(7) + 5(-4x)$

Step2: Calculate each term

$14x - 8x² + 35 - 20x$

Step3: Combine like terms

$-8x² + (14x - 20x) + 35 = -8x² -6x +35$

Answer:

A. -8x² - 6x + 35