Home
Class 9
MATHS
Classify the follwing as a constant ,...

Classify the follwing as a constant , linear , quadratic and cubic polynomials
(i) `2-x^(2)+x^(3)` (ii) ` 3x^(3)` (iii) `5t - sqrt(7)`
(iv)`4-5y^(2)` (v) 3 (vi) 2+x
`(vii) y^(3)-y` (viii) `1+x+x^(2) (ix)t^(2)`(x) `(sqrt(2))x-1`

Text Solution

AI Generated Solution

To classify the given polynomials as constant, linear, quadratic, or cubic, we need to look at the highest degree (exponent) of the variable in each polynomial. Here’s the step-by-step solution: ### Step 1: Analyze each polynomial 1. **Polynomial: `2 - x^2 + x^3`** - The highest exponent of `x` is `3`. - **Classification:** Cubic polynomial. ...
Promotional Banner

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 as linear, quadratic and cubic polynomials : (i) 5x^(3)+3x^(2)+1 " " (ii) 3x^(2)+x " " (iii) x+1

Classify the following as linear quadratic and cubic polynomial : (i)x^(3)+x^(2)+3 " "(ii) x^(2)+5 " "(iii) x^(3)-x " " (iv)3x " "(v)x+3

Classify the following as linear, quadratic and cubic polynomials:(i) x^2+x (ii) x-x^3 (iii) y+y^3+4 (iv) 1+x (v) 3t(vi) r^2 (vii) 7x^3

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials: (i) x+x^2+4 (ii) 3x-2 (iii) 2x+x^2

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials: (i) 3y (ii) t^2+1 (iii) 7t^4+4t^3+3t-2

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

Identify constant, linear, quadratic and cubic polynomials from the following polynomials: q(x)=4x+3 (ii) r(x)=3x^3+4x^2+5x-7

Identify constant, linear, quadratic and cubic polynomials from the following polynomials: (i) h(x)=-3x+1/2 (ii) p(x)=2x^2-x+4

Write the degrees of each of the following polynomials: (i) 7x^3+4x^2-3x+12 (ii) 12-x+2x^3 (iii) 5y-sqrt(2) (iv) 7 (v) 0

Write the degrees of each of the following polynomials: (i) 7x^3+4x^2-3x+12 (ii) 12-x+2x^3 (iii) 5y-sqrt(2) (iv) 7 (v) 0