1. The graphs of y = p(x) are given below for some polynomials p(x). Find the number of zeroes of p(x), in each case.
Exercise 2.1 – Question 1
The number of zeroes of a polynomial is equal to the number of points where its graph intersects or touches the x-axis.
Answers:
(i) The graph does not intersect the x-axis.
Number of zeroes = 0(ii) The graph intersects the x-axis at one point.
Number of zeroes = 1(iii) The graph intersects the x-axis at two distinct points.
Number of zeroes = 2(iv) The graph touches the x-axis at exactly one point.
Number of zeroes = 1(v) The graph intersects the x-axis at three distinct points.
Number of zeroes = 3(vi) The graph intersects the x-axis at four distinct points.
Number of zeroes = 4