The graphs of $y=p(x)$ are given in following figure, for some polynomials $p(x)$. Find the number of zeroes of $p(x)$, in each case.
(i)
![](https://cdn.mathpix.com/cropped/2025_10_30_83c6c2e6572790483bf8g-01.jpg?height=412&width=438&top_left_y=976&top_left_x=805)
(ii)
![](https://cdn.mathpix.com/cropped/2025_10_30_83c6c2e6572790483bf8g-01.jpg?height=418&width=452&top_left_y=1496&top_left_x=796)
(iii)
![](https://cdn.mathpix.com/cropped/2025_10_30_83c6c2e6572790483bf8g-01.jpg?height=467&width=481&top_left_y=2038&top_left_x=782)
(iv)
![](https://cdn.mathpix.com/cropped/2025_10_30_83c6c2e6572790483bf8g-02.jpg?height=475&width=486&top_left_y=722&top_left_x=788)
(v)
![](https://cdn.mathpix.com/cropped/2025_10_30_83c6c2e6572790483bf8g-02.jpg?height=467&width=486&top_left_y=1307&top_left_x=765)
(v)
![](https://cdn.mathpix.com/cropped/2025_10_30_83c6c2e6572790483bf8g-02.jpg?height=478&width=487&top_left_y=1890&top_left_x=776)

Question

Accepted Answer

(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.

\section*{Mathematics}
(Chapter - 2) (Polynomials)
(Class X)

\section*{Exercise 2.2}