Question

what will be the number of zeros of the polynomial whose graphs are parallel to y axis and x axis

Answer 1

The no. of Zeros when the graph is either parallel to x axis or parallel to y axis will be 1.

as the line cut only at one side.


If polynomial is p ( x ) then ,

the no. of Zeros will be 1 when it is parallel to y - axis.

If the polynomial is p ( y ) then ,
the no. of Zeros will be 1 when it is parallel to x - axis .

Answer 2

Answer:

The polynomial is a linear line parallel to the x-axis and is not cutting the x-axis at any point, therefore this polynomial has no zeroes/roots.

Step-by-step explanation:

Given: Polynomial

To find: Number of zeros of the polynomial

Solution:

• As the graphs of y = p(x) are given, and we have to find the number of zeroes of p(x), in each case, look at the graphs and visually find how many points the graph cuts or touches the x-axis.
• The number of points it cuts or touches the x-axis are the zeroes of the polynomial p(x).
• The number of zeroes is 0 as the graph doesn’t cut the x-axis at any point.
• We know that the number of points where the graph cuts the x-axis gives the zeroes of any polynomial p(x). Since the polynomial is a linear line parallel to the x-axis and is not cutting the x-axis at any point, therefore this polynomial has no zeroes/roots.