(A) To find the zeros of the polynomial $p(x) = x^3$,we set $p(x) = 0$.This gives the equation $x^3 = 0$.Taking the cube root on both sides,we get $x

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(A) To find the zeros of the polynomial $p(x) = x^3$,we set $p(x) = 0$.This gives the equation $x^3 = 0$.Taking the cube root on both sides,we get $x = 0$.Graphically,the curve $y = x^3$ passes through the origin $(0, 0)$,which is the only point where it intersects the $x$-axis.Therefore,the zero of the polynomial $p(x) = x^3$ is $0$.

Class 10 Mathematics Polynomials Mix Examples - Polynomials

Medium

Draw the graph of $p(x) = x^3$ and find the zeros of this polynomial.

A
$0$
B
$2$
C
$1$
D
$3$

Explore More

Browse All

Question Bank

All Subjects

Class 10 Questions

Class 10

Mathematics Questions

Chapter

Polynomials

Subtopic

Mix Examples - Polynomials

If one of the zeroes of the cubic polynomial $x^{3}+a x^{2}+b x+c$ is $-1,$ then the product of the other two zeroes is

Difficult

View Solution

The zero of the linear polynomial $p(x) = ax + b$ is $\ldots \ldots \ldots \ldots$ $(a, b \neq 0)$.

Easy

View Solution

Given that two of the zeroes of the cubic polynomial $ax^3 + bx^2 + cx + d$ are $0$,the third zero is

Easy

View Solution

Obtain the value of the following polynomial at the given value of $x$: $p(x) = 2x^4 - x^2 + 5x - 8$ at $x = -3$.

Easy

View Solution

Find the number of real zeros of the following polynomial: $p(x) = x^{2} - 2x$.

Easy

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

Draw the graph of $p(x) = x^3$ and find the zeros of this polynomial.

Similar Questions

If one of the zeroes of the cubic polynomial $x^{3}+a x^{2}+b x+c$ is $-1,$ then the product of the other two zeroes is

The zero of the linear polynomial $p(x) = ax + b$ is $\ldots \ldots \ldots \ldots$ $(a, b \neq 0)$.

Given that two of the zeroes of the cubic polynomial $ax^3 + bx^2 + cx + d$ are $0$,the third zero is

Obtain the value of the following polynomial at the given value of $x$: $p(x) = 2x^4 - x^2 + 5x - 8$ at $x = -3$.

Find the number of real zeros of the following polynomial: $p(x) = x^{2} - 2x$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module