Question:

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
(I)
(ii)
(iii)
(iv)
(v)
(vi)

Updated On: Nov 4, 2023
Hide Solution
collegedunia
Verified By Collegedunia

Solution and Explanation

(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

Was this answer helpful?
0
0

Concepts Used:

Graphical Solution of Linear Inequalities In Two Variables

Graphical representation needs the plotting of the x and y in graph paper. Plotting the x and y values of the equation on the coordinate plane. For plotting the graph you will be needed at least 3 sets of points. It is very much important for those points to fall in a straight line. If the points are haphazardly placed, it will indicate some fault in your work.

Tabular Representation

On the graph paper, draw the x and y-axis. Simply, the x and y-axis are two number lines that are placed perpendicular to each other at the (0,0) point. This point is known to be the origin. Use the aforesaid values for plotting the points. Join all of these points with a straight line.

Graphical Solution of Linear Inequalities In Two Variables