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.
By observing the given graph,we can see that the curve intersects the $x$-axis at $4$ distinct points.
Therefore,the number of zeroes of the polynomial $p(x)$ is $4$.

Explore More

Similar Questions

Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:
$x^{2}+3x+1, 3x^{4}+5x^{3}-7x^{2}+2x+2$

Divide the polynomial $p(x)$ by the polynomial $g(x)$ and find the quotient and remainder in each of the following:
$p(x) = x^{3} - 3x^{2} + 5x - 3, \quad g(x) = x^{2} - 2$

Difficult
View Solution

Find a quadratic polynomial,each with the given numbers as the sum and product of its zeroes respectively: $-\frac{1}{4}, \frac{1}{4}$.

If 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 Solution

Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and the coefficients: $6x^{2}-3-7x$.

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