Question

Create a polynomial of degree 6 that has no real roots. Explain why it has no real roots.

Answer 1

Step-by-step explanation:

We're asked to create a polynomial of degree 6 that has no real roots.

Let's consider the below polynomial;

`x^6+1=0`

To determine its roots, we'll follow the below steps;

Step 1: Subtract 1 from both sides of the equation;