Chapter 2 – Polynomials (Ex – 2.1)

Polynomials

Question 1.
The graphs of y = p(x) are given in figures below for some polynomials p(x). Find the number of zeroes of p(x), in each case.

Solution:

1. There are no zeros as the graph does not intersect the x-axis.
2. The number of zeroes is one as the graph intersects the x-axis at one point only.
3. The number of zeroes is three as the graph intersects the x-axis at three points.
4. The number of zeroes is two as the graph intersects the x-axis at two points.
5. The number of zeroes is four as the graph intersects the x-axis at four points.
6. The number of zeroes is three as the graph intersects the x-axis three points.