Final answer:
A polynomial of degree N>=2 with distinct roots means that the polynomial has at least two solutions that are not the same. To calculate the roots, use the quadratic formula.
Step-by-step explanation:
A polynomial of degree N>=2 with distinct roots means that the polynomial has at least two solutions that are not the same. None of these roots lie on the real axis, which means they are not real numbers. To calculate the roots, we can use the quadratic formula: x = (-b ± √(b²-4ac))/2a.
For a polynomial of degree 2, the equation will have the form ax² + bx + c = 0, where a, b, and c are constants. By applying the quadratic formula to this equation, we can find the roots.
Example: Consider the polynomial x² - 4x + 3 = 0. By comparing this to the general quadratic equation form, we find a = 1, b = -4, and c = 3. Applying the quadratic formula, we get x = (4 ± √(16 - 12))/2.
The roots of this polynomial are x = 1 and x = 3, which are distinct and not on the real axis.