The graph of the polynomial is in the image of the end.
Some zeros of the polynomial are (1, 0) and (-1, 0)
How to graph the polynomial function?
Here we have the polynomial:
f(x) = x⁴ - 5x² + 4
To graph this we need to find some points that lie on the graph, so let's evaluate it:
f(0) = 0⁴ - 5*0² + 4 = 4
f(1) = 1⁴ - 5*1² + 4 = 0
f(-1) = (-1)⁴ - 5(-1)² + 4 = 0
Notice that we already found two zeros, one at (1, 0) and the other at (-1, 0)
When you have enough points you can sketch the graph of the polynomial, which you can see below.