(Q7)Draw the graphs of the given polynomial and find the zeros justify the answer x2-4x+5.

Given polynomial p(x)=x2-4x+5

List of values of p(x):

x -1 0 1 2 3 4 5
x2
4x -
x2-4x - - -
5
p(x)
(x,y) (-,) (,) (,) (,) (,) (,) (,)

Now,lets locate the points listed above on a graph paper

Result:We observe that the graph does not cut the X -axis at any point.

So, the quadratic polynomial p(x)has no zeros.

Justification: For the given p(x)=x2- 4x+5 not possible to split in factors.