Final answer:
The binomial factors for the equation area = 21x² + 13x + 2 are (7x + 2)(3x + 1).
Step-by-step explanation:
The equation area = 21x² + 13x + 2 can be factored by using the quadratic formula. The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a). By substituting the values a = 21, b = 13, and c = 2 into the formula, we can find the binomial factors. Simplifying the formula, we get x = (-13 ± √(13² - 4 * 21 * 2)) / (2 * 21). Solving the equation inside the square root, we have x = (-13 ± √(169 - 168)) / 42. This simplifies to x = (-13 ± √1) / 42. Therefore, the binomial factors for the equation are (7x + 2)(3x + 1). The correct answer is option a).