If $p(3) = 0$ for a polynomial $p(x)$,state one factor of $p(x)$.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(A) According to the Factor Theorem,if $p(a) = 0$ for a polynomial $p(x)$,then $(x - a)$ is a factor of $p(x)$.
Given that $p(3) = 0$,we substitute $a = 3$ into the theorem.
Therefore,$(x - 3)$ is a factor of $p(x)$.

Explore More

Similar Questions

Factorise $27 x^{3}-y^{3}+64 z^{3}+36 x y z$.

Difficult
View Solution

From the following polynomials,find out which of them has $(x-1)$ as a factor:
$p(x) = 2x^3 + 5x^2 - x - 6$

Write the degree of the following polynomial: $5x^{2} + 12x + 4$.

Factorise the following quadratic polynomial by splitting the middle term:
$x^{2}+10x+16$

Write the following cube in expanded form:
$(4x - 3y)^{3}$

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