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3-2x^2+4x^2y+8y-5/3x y^2 is a polynomial...

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

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As we can see that in the given polynomial, `x` and `y` are the two variables used.
Therefore, `3-2x^2+4x^2y+8y-5/3x y^2` is a polynomial in two variables `x` and `y`.
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RD SHARMA-DIVISION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. determine whether following are polynomial or not (1)(2x^2)/3−(3x^2...

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

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  3. determine the degree of following (1) 2x+3 (2)2x^2-3x+7/5 (3)(2a^2)...

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  4. determine the degree (1)3x^4-2x^3y^3+7xy^3 (ii) (-3x^2y^2)/4

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  5. 2-3/4x ,1/2+3/5y ,2+3a etc. are linear polynomials.

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  6. 2x^2-3x+4,\ 2-x+x^2,\ 2y^2-3/2y+1/4 are quadratic polynomials.

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  7. x^3-7x^2+2x-3,\ 2+1/2y-3/2y^2+4y^3 are cubic polynomials.

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  8. 3x^4-7x^3+x^2-x+9,4-(2x^2)/3+(3x^4)/5 are biquadratic polynomial

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  9. Write the degree of each of the following polynomials : 2x^3+5x^2-...

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  10. Write the degree of each of the following polynomials : 1/2y^7-12 y...

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  11. Which of the following expressions are not polynomials? x^2+2x^(-2)...

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  12. Write each of the following polynomials in the standard form. Also w...

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  13. Divide (i)12 x^3y^3 by 3x^2y (ii) -15 a^2b c^3 b y 3a b

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  14. Divide: 25 x^3y^2\ by-15 x^2y (ii) -72 x^2y z\ by-12 x y z

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  15. Divide: 6x^3y^2z^2\ \ by\ \ 3x^2y z (2) 15 m^2n^(3\ ) by\ 5m^2n^2 ...

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  16. Simplify: (16 m^3y^2)/(4m^2y) (2) (32 m^2n^3p^2)/(4m n p)

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  17. Divide: 9m^5+12 m^4-6m^2\ \ by\ \ 3m^2 (2)24 x^3y+20 x^2y^2-4x y\ ...

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  18. Divide: (i) 6x^4y z-3x y^3z+8x^2y z^2y z^4\ \ by\ \ 2x y z (ii) 2/3...

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  19. Divide: (i)x+2x^2+3x^4-x^5\ by 2x (ii)y^4-3y^3+1/2y^2\ by 3y

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  20. Divide: (i)-4a^3+4a^2+a\ \ by 2a (ii)-x^6+2x^4+4x^3+2x^2\ by sqrt(...

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