Home
Class 9
MATHS
Classify the following polynomials as...

Classify the following polynomials as polynomials in one variable , two variables etc.
(1)`x^(2)+x+1` (ii) `y^(3)-5y`
(iii) `xy+yz+zx` (iv)`x^(2)-2xy+y^(2)+1`

Text Solution

AI Generated Solution

To classify the given polynomials, we will analyze each polynomial based on the number of variables it contains. ### Step-by-Step Solution: 1. **Identify the first polynomial:** \[ (1) \quad x^{2} + x + 1 \] ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • POLYNOMIALS

    NCERT EXEMPLAR ENGLISH|Exercise EXERCISE 2.4 Long Answer type Questions|9 Videos
  • POLYNOMIALS

    NCERT EXEMPLAR ENGLISH|Exercise EXERCISE 2.2 very short Answer type Questions|32 Videos
  • NUMBER SYSTEMS

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPE QUESTIONS|7 Videos
  • QUADRILATERALS

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPE QUESTIONS|18 Videos

Similar Questions

Explore conceptually related problems

Classify the following polynomials as polynomials in one-variable, two variables etc.: (i) x^2-x y+7y^2 (ii) x^2-2t x+7t^2-x+t

Classify the following polynomials as polynomials in one-variable, two variables etc.: (i) t^3-3t^2+4t-5 (ii) x y+z y+z x

Classify the following polynomials as polynomials in one-variable, two variables etc. : (i) x^2-x y+7y^2 (ii) x^2-2t x+7t^2-x+t (iii) t^3-3t^2+4t-5 (iv) x y+y z+z x

1.Which of the following expressions are polynomials in one variable and which are not State reasons for your answer. (i) 4x^2-3x+7 , (ii) y^2+sqrt2 (iii) 3sqrtt -3t , (iv) y+2/y , (v) x^16+y^5+t^50

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.(i) 4x^2-3x+7 (ii) y^2+sqrt(2) (iii) 3sqrt(t)+tsqrt(2) (iv) y+2/y (v) x^(10)+y^3+t^(50)

Identify which of the following algebraic expressions are polynomials. If so, write their degrees. x^(2)y-2xy+(2)/(3)x-1

Factorise : (iv) xy^(2) + (x-1)y-1

3-2x^2+4x^2y+8y-5/3x y^2 is a polynomial in two variables x and y .

Classify into monomials, binomials and trinomials. (i) 4y-7z (ii) y^2 (iii) x+y-xy (iv) 100

Write each of the following as an equation in two variables:(i) x=-5 (ii) y=2 (iii) 2x=3 (iv) 5y=2