Look at the graph given below. It is the graph of $y=p(x)$ where $p(x)$ is a polynomial. Find the number of zeroes of $p(x)$.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The number of zeroes of a polynomial $p(x)$ is equal to the number of points where the graph of $y=p(x)$ intersects the $X$-axis.
In the given graph,the curve intersects the $X$-axis at $3$ distinct points.
Therefore,the number of zeroes of the polynomial $p(x)$ is $3$.

Explore More

Similar Questions

If the zeroes of the polynomial $x^{3}-3x^{2}+x+1$ are $a-b, a, a+b$,find $a$ and $b$.

Difficult
View Solution

The graph of $y=p(x)$ is given below for a polynomial $p(x)$. Find the number of zeroes of $p(x)$.

Divide the polynomial $p(x)$ by the polynomial $g(x)$ and find the quotient and remainder in the following case:
$p(x) = x^{4} - 3x^{2} + 4x + 5$,$g(x) = x^{2} + 1 - x$

Difficult
View Solution

Verify that the numbers given alongside the cubic polynomials below are their zeroes. Also,verify the relationship between the zeroes and the coefficients in each case: $x^{3}-4x^{2}+5x-2; 2, 1, 1$.

Difficult
View Solution

The graph of $y=p(x)$ is given below for a polynomial $p(x)$. Find the number of zeroes of $p(x)$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo