Final answer:
The Factor Theorem states that (x - r) is a factor of a polynomial f(x) if f(r) = 0. Since f(-1) is not equal to 0 for the polynomial in question, (z + 1) is not a factor, and therefore the Factor Theorem cannot be used to find another factor of the polynomial.
Step-by-step explanation:
The question, "If 1(-1) for the polynomial f(z) = 2z+z²-5 is -2, can you use the Factor Theorem to find the other factor?" seems to contain some errors in the polynomial expression. Assuming the correct polynomial is f(z) = z² + 2z - 5 and you've found that f(-1) = -2, the Factor Theorem cannot be used here to find another factor based on this information alone. The Factor Theorem states that for a polynomial f(x), if f(r) = 0 for some number r, then (x - r) is a factor of f(x). Since f(-1) ≠ 0, (z + 1) is not a factor of f(z). Moreover, the other options presented do not provide a valid justification for finding a factor of the polynomial. Therefore, you cannot use the Factor Theorem to find another factor solely based on the information that f(-1) = -2.