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

If 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 Solution

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

Find a cubic polynomial with the sum,sum of the product of its zeroes taken two at a time,and the product of its zeroes as $2, -7, -14$ respectively.

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 $p(x)$.

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

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