Question

what will be the number of zeros of a linear polynomial p(x) if it's graph (i) passes through the origin. (ii) doesn't intersect or touch x-axis at any point?

Answer 1

If I am correct,


(a) 1 root
(b) 0 root

Answer 2

Number of zeroes for polynomial  

(i) Passes through origin is equal to one.

(ii) Doesn’t intersect or touch x-axis at any given point which is equal to zero.

Solution:

There are many graphs that can be told as passing through origin according the graph given below attached as an example.

 Now graph given is an example of y = x, which cuts at one place of the x-axis that is zero, hence only has one root of the equation or polynomial P(x).

Now by the above example we can see that a graph has to cut the x-axis for the polynomial to form zeroes, but if the graph does not cut any value on the x-axis then the number of zeroes or roots is zero.