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
(1) 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 parabola touches the $X$-axis at exactly one point.
Therefore,the number of zeroes of the polynomial $p(x)$ is $1$.

Explore More

Similar Questions

Find the zeroes of the quadratic polynomial $x^{2}+7x+10$,and verify the relationship between the zeroes and the coefficients.

Find all the zeroes of $2x^{4}-3x^{3}-3x^{2}+6x-2$,if you know that two of its zeroes are $\sqrt{2}$ and $-\sqrt{2}$.

Difficult
View Solution

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 quadratic polynomial $4s^{2}-4s+1$ and verify the relationship between the zeroes and the coefficients.

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.

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