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

Determine which of the following polynomials has (x+1) a factor.
(i) `x^3+x^2+x+1`
(ii) `x^4+x^3+x^2+x+1`
(iii) `x^4+3x^3+3x^2+x+1`
(iv) `x^3-x^2-(2+sqrt2)x+sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
(i) 0
(ii) 1
(iii) 1
(iv) `2sqrt2`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • POLYNOMIALS

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 14.5|16 Videos
  • POLYNOMIALS

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 14.3|3 Videos
  • NUMBER SYSTEMS

    CPC CAMBRIDGE PUBLICATION|Exercise Exercise 1.6|3 Videos
  • PROBABILITY

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 15.1|11 Videos

Similar Questions

Explore conceptually related problems

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

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) 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

Factories : (i) x^3-2x^2-x+2 (ii) x^3-3x^2-9x-5 (iii) x^3+13x^2+32x+20 (iv) 2y^3+y^2-2y-1

Write the degree of each of the following polynomials : (i) 5x^3 +4x^2+7x (ii) 4-y^2 (iii) 5t-sqrt7 (iv) 3

Factories: (i) 12x^2-7x+1 (ii) 2x^2+7x+3 (iii) 6x^2+5x-6 (iv) 3x^2-x-4

Find the value of the polynomial at 5x-4x^2+3 at (i) x = 0 (ii) x = - 1 (iii) x = 2

Find the value of the polynomial 4x ^(2) - 5x +3, at (i) x =0 (ii) x =-1 (iii) x =2 (iv) x = 1/2

Use the Factor Theorem to determine whether g (x) is factor of f(x) in each of the following cases: (i) f (x) = 5x ^(3) + x ^(2)-5x -1, g (x)=x +1 (ii) f (x) = x ^(3) + 3x ^(2) + 3x +1 , g(x) =x +1 (iii) f (x) =x ^(3) - 4x ^(2) +x + 6, g (x) =x -2 (iv) f (x) = 3x ^(3) - 20x + 12, g (x) = 3x -2 (v) f (x) = 4x ^(3) + 20 x ^(2) + 33 x +18, g (x) =2x +3

Factorise (i) x ^(2) - 2x ^(2) - x +2 (ii) x ^(3) - 3x ^(2) - 9x -5 (iii) x ^(3) + 13 x ^(2) + 32 x + 20 (iv) y ^(3) + y ^(2) -y -1