The graph of $y=p(x)$ is given below for a polynomial $p(x)$. Find the number of zeroes of $p(x)$.
(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 $1$ point. Therefore,the number of zeroes of the polynomial $p(x)$ is $1$.
Explore More
Similar Questions
Find a quadratic polynomial,each with the given numbers as the sum and product of its zeroes respectively: $1, 1$.
Easy
View SolutionCheck whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:
$x^{2}+3x+1, 3x^{4}+5x^{3}-7x^{2}+2x+2$
$x^{2}+3x+1, 3x^{4}+5x^{3}-7x^{2}+2x+2$
Easy
View SolutionIf the polynomial $x^{4}-6x^{3}+16x^{2}-25x+10$ is divided by another polynomial $x^{2}-2x+k$,the remainder is $x+a$. Find the values of $k$ and $a$.
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 SolutionVerify that $3, -1, -\frac{1}{3}$ are the zeroes of the cubic polynomial $p(x) = 3x^3 - 5x^2 - 11x - 3$,and then verify the relationship between the zeroes and the coefficients.
Difficult
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