Verify whether the following is True or False:
$-\frac{1}{3}$ is a zero of $3x + 1$.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(A) zero of a polynomial $p(x)$ is a value $c$ such that $p(c) = 0$.
Let $p(x) = 3x + 1$.
To verify,substitute $x = -\frac{1}{3}$ into the polynomial:
$p\left(-\frac{1}{3}\right) = 3\left(-\frac{1}{3}\right) + 1$
$p\left(-\frac{1}{3}\right) = -1 + 1 = 0$.
Since $p\left(-\frac{1}{3}\right) = 0$,it is confirmed that $-\frac{1}{3}$ is a zero of the polynomial $3x + 1$. Therefore,the statement is True.

Explore More

Similar Questions

Factorise $9x^{2} + 42x + 49$.

Determine the degree of the following polynomial:
$2x - 1$

Evaluate $(65)^{2}$.

Factorise $8x^{3} - 26x^{2} + 13x + 5$.

Expand the following:
$\left(4-\frac{1}{3 x}\right)^{3}$

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