Home
Class 9
MATHS
Determine which of the following polynom...

Determine which of the following polynomials has (x+1) a factor :
`x^(3) + x^(2) + x + 1`

Text Solution

Verified by Experts

The correct Answer is:
is a factor
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • POLYNOMIALS

    KUMAR PRAKASHAN|Exercise Exercise - 2.5|43 Videos
  • POLYNOMIALS

    KUMAR PRAKASHAN|Exercise Skill Testing Exercise|133 Videos
  • POLYNOMIALS

    KUMAR PRAKASHAN|Exercise Exercise -2.3|7 Videos
  • NUMBER SYSTEMS

    KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS (MCQs)|20 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Multiple Choice Questions (MCQs)|10 Videos

Similar Questions

Explore conceptually related problems

Determine which of the following polynomials has (x+1) a factor : x^(4) + x^(3) + x^(2) + x +1

Determine which of the following polynomials has (x+1) a factor : x^(4) + 3x^(3) + 3x^(2) + x +1

Determine which of the following polynomials has (x+1) a factor : x^(3) - x^(2) - (2+sqrt(2))x + sqrt(2)

Determine which of the following polynomials has (x +1) as a factor. (i) x ^(3) -x ^(2) -x +1 (ii) x ^(4) - x ^(3) + x ^(2) -x +1 (iii) x ^(4) + 2x ^(3) + 2x ^(2) + x +1 (iv) x ^(3) -x ^(2) - (3- sqrt3) x + sqrt3

State the coefficient of x^(2) in each of the following polynomials : x^(3) + 3x^(2) + 3x +1

State the coefficient of x^(2) in each of the following polynomials : x^(4) + 5x^(3) + pi x^(2) - 3x + 11

For each of the following polynomials, find p(0), p(1) and p(3) : p(x) = x^(2) - 4x +3

For each of the following polynomials, find p(0), p(1) and p(3) : p(x) = (1)/(3)x^(2) + 4x -1

Find the value of each of the following polynomials at the indicated value of variables : p(x) = 5x^(2) - 3x + 7 at x = 1.

State which of the following are polynomials and which are not ? Give reasons. 2x^(3)