Question

List all possible roots for the polynomial:
4x^6-4x^4+3x^3-2x+6

Answer 1

Use graphical method

y=4x⁶-4x⁴+3x³-2x+6

Graph attached

As there is no x intercepts,no real zeros

Answer 2

• No real roots

Explanation:

One of the solutions is to graph it and get coordinates of its intersection with the x- axis.

See the graph attached below.

As you see the entire graph is above the x-axis. It means there are no real roots.