Final answer:
To determine if (2x + 1) is a factor of the polynomial g(x) = 2x^3 - 5x^2 - 20x + 12, we can use the polynomial long division method. The remainder is 22, which indicates that (2x + 1) is not a factor.
Step-by-step explanation:
To determine if (2x + 1) is a factor of the polynomial g(x) = 2x^3 - 5x^2 - 20x + 12, we can use the polynomial long division method. The polynomial long division of g(x) by (2x + 1) gives us a quotient of 2x^2 - 4x - 10 with a remainder of 22.
Since the remainder is not zero, (2x + 1) is not a factor of the polynomial g(x). Therefore, the correct answer is b) No, it is not a factor.