Science:Math Exam Resources/Courses/MATH110/December 2012/Question 02 (d)/Solution 1
Polynomials are functions like lines, parabolas, cubics, etc. The best examples to consider are horizontal lines and parabolas.
- No horizontal line crosses the x-axis.
- The graph of a parabola can be shifted so that it doesn't cross the x-axis.
Either of these would be a counter-example, so the statement is false.