Explanation:

When we talk about the zeros of a polynomial, we are referring to the values of x that make the polynomial equal to zero. Graphically speaking, these values are represented by the points where the graph of the polynomial intersects the x-axis. Therefore, if the graph of a polynomial does not intersect the x-axis at any point, it means that there are no real zeros for that polynomial.

Reasons why a polynomial may have no real zeros:
There are several reasons why a polynomial may have no real zeros. Some of these reasons include:

1. The degree of the polynomial is even: If the degree of the polynomial is even, then the graph of the polynomial will either touch the x-axis at a single point or not intersect the x-axis at all. In either case, there will be no real zeros.

2. All the zeros are complex: A polynomial can have complex zeros, which means that they cannot be represented by real numbers. If all the zeros of a polynomial are complex, then the graph of the polynomial will not intersect the x-axis, and there will be no real zeros.

3. The leading coefficient is positive: If the leading coefficient of a polynomial is positive, then the graph of the polynomial will either be entirely above or entirely below the x-axis. In either case, there will be no real zeros.

Conclusion:
In conclusion, if the line representing the graph of a polynomial does not intersect the x-axis at any point, then it means that the polynomial has no real zeros. This can be due to several factors, such as the degree of the polynomial, the nature of its zeros, or the sign of its leading coefficient.

Ya if it doesn't meet on x axis then there will be no zeroes of it