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

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

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Cubic polynomial is a polynomial with the highest power of the variable or degree is `3`.
Hence, `x^3-7x^2+2x-3,\ 2+1/2y-3/2y^2+4y^3` have degree`3`.
Therefore, these polynomials are cubic polynomials.
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RD SHARMA-DIVISION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. 2-3/4x ,1/2+3/5y ,2+3a etc. are linear polynomials.

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

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

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

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

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

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

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

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

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

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

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

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  13. 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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  14. 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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  15. 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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  16. Divide: (i)-4a^3+4a^2+a\ \ by 2a (ii)-x^6+2x^4+4x^3+2x^2\ by sqrt(...

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  17. Divide: (i)5z^3-6z^2+7z\ \ by 2z (ii)sqrt(3)\ a^4+\ 2sqrt(3)\ a^3+3...

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  18. Divide : 6+x-4x^2+x^3\ by\ \ x-3.

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  19. Divide: the polynomial 2x^4+8x^3+7x^2+4x+3\ \ by\ \ x+3.

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  20. Divide: x^3-6x^2+11 x-6\ b y\ \ x^2-4x+3

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