Final answer:
A polynomial of lowest degree that satisfies the given conditions should have zeros equal to the given conditions. The polynomial would be (x - a)(x - b)(x - c).
Step-by-step explanation:
A polynomial of lowest degree that satisfies the given conditions should have zeros equal to the given conditions. Let's say the given conditions are a, b, and c. Then, the polynomial would be (x - a)(x - b)(x - c). This is because if a, b, and c are zeros of the polynomial, then (x - a), (x - b), and (x - c) will be factors of the polynomial.