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.