Question

Draw the graph of the polynomial $P\left(x\right)=x^2-4x+5$ and find the zeroes from the graph

Answer 1

Given polynomial is $P\left(x\right)=x^2-4x+5$

Lets form the plot points,

Now, lets draw the graph,

Clearly, graph of the polynomial does not touch the $x$-axis.

So, the polynomial $P\left(x\right)=x^2-4x+5$ has no real zeros.