Chapter 02 Polynomials Exercise-01
EXERCISE 2.1
1. The graphs of $y=p(x)$ are given in Fig. 2.10 below, for some polynomials $p(x)$. Find the number of zeroes of $p(x)$, in each case.
Fig. 2.10
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Solution
(i) The number of zeroes is 0 as the graph does not cut the $x$-axis at any point.
(ii) The number of zeroes is 1 as the graph intersects the $x$-axis at only 1 point.
(iii) The number of zeroes is 3 as the graph intersects the $x$-axis at 3 points.
(iv) The number of zeroes is 2 as the graph intersects the $x$-axis at 2 points.
(v) The number of zeroes is 4 as the graph intersects the $x$-axis at 4 points.
(vi) The number of zeroes is 3 as the graph intersects the $x$-axis at 3 points.
