Home
Class 12
MATHS
A polynomial equation in x of degree n a...

A polynomial equation in x of degree n always has :

A

n distinct roots

B

n real roots

C

n imaginary roots

D

at most one root.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Problems for practice (Choose the correct answer )|23 Videos

  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Problems for practice (Answer the following)|21 Videos

  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Exercise 3.6|5 Videos

  • PROBABILITY DISTRIBUTIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|30 Videos

Similar Questions

Explore conceptually related problems

Find the monic polynomial equation of minimum degree with real coefficients given that sqrt3+i is a root.

Find the monic polynomial equation of minimum degree with real coefficients having 2-sqrt(3)i as a root.

Find a polynomial equation of the lowest degree with rational co - efficient having sqrt3, (1-2i) as two of its roots.

A polynomial in x of degree 3 vanishes when x=1 and x=-2 , ad has the values 4 and 28 when x=-1 and x=2 , respectively. Then find the value of polynomial when x=0 .

Find a polynomial equation of minimum degree with rational coefficients, having 2 + sqrt3 I as a root.

Find a polynomial equation of minimum degree with rational coefficients , having 3-sqrt5 as a root.

Find a polynomial equation of minimum degree with rational coefficients , having 2-sqrt3 as a root.

Find a polynomial equation of minimum degree with rational coefficients , having 2+sqrt3 as a root.

Find a polynomial equation of minimum degree with rational coefficients , having 1 - i as a root.