Final answer:
A polynomial of odd degree does not always have an x-intercept.
Step-by-step explanation:
A polynomial of odd degree does not always have an x-intercept. An x-intercept occurs when the polynomial crosses the x-axis, meaning that the y-value is equal to zero. However, a polynomial of odd degree may have all positive or all negative coefficients, which means that it may never cross the x-axis and therefore not have an x-intercept.