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 $p(x)$.
(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 exactly one point.
Therefore,the number of zeroes of $p(x)$ is $1$.
In the given graph,the curve intersects the $x$-axis at exactly one point.
Therefore,the number of zeroes of $p(x)$ is $1$.
Explore More
Similar Questions
Divide the polynomial $p(x)$ by the polynomial $g(x)$ and find the quotient and remainder in the following case:
$p(x) = x^{4} - 3x^{2} + 4x + 5$,$g(x) = x^{2} + 1 - x$
$p(x) = x^{4} - 3x^{2} + 4x + 5$,$g(x) = x^{2} + 1 - x$
Difficult
View SolutionLook 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 $p(x)$.
Easy
View SolutionThe graph of $y=p(x)$ is given below for a polynomial $p(x)$. Find the number of zeroes of $p(x)$.
Easy
View SolutionIf two zeroes of the polynomial $x^{4}-6 x^{3}-26 x^{2}+138 x-35$ are $2 \pm \sqrt{3},$ find other zeroes.
Difficult
View SolutionThe graph of $y=p(x)$ is given below for a polynomial $p(x)$. Find the number of zeroes of $p(x)$.
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo