To find the factors of the given quadratic expression, we need to look for two numbers that multiply to give -27 and add up to 9. The factors of -27 are -1, 1, -3, 3, -9, and 9. After testing different combinations, we find that the factors 3 and -3 satisfy both conditions. Therefore, the factors of 6x^2 + 9x − 27 are (2x + 3)(3x - 3).
