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Write each of the following polynomials ...

Write each of the following polynomials in the standard form. Also write their degree: `x^2+3+6x+5x^4` (ii) `a^2+4+5a^6` (iii)`(x^3-1)(x^3-4)` (iv) `(y^3-2)(y^3+11)` (v)`(a^3-3/8)(a^3+16/7)` (vi) `(a+3/4)(a+4/3)`

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RD SHARMA ENGLISH-DIVISION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. Write the degree of each of the following polynomials : 1/2y^7-12 ...

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

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

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  4. Divide 12 x^3y^3b y\ 3x^2y (ii) -15 a^2b c^3\ b y\ \ 3a b

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

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

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

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  8. 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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  9. Divide: 6x^4y z-3x y^3z+8x^2y z^2y z^4\ \ by\ \ 2x y z 2/3a^2b^2c^2...

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  10. 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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  11. Divide: -4a^3+4a^2+a\ \ by 2a

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

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

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

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

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  16. Divide: 10 x^4+17 x^3-62 x^2+30 x-3\ b y\ 2x^2+7x-1

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  17. Using division show that 3y^2+5 is factor of 6y^5+15 y^4+16 y^3+4y^2+1...

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  18. Divide: 3y^5+6y^4+6y^3+7y^2+8y+9\ b y\ 3y^3+1 and verify that d i v i ...

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  19. What must be subtracted from 8x^4+14 x^3-2x^2+7x-8 so that the resulti...

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  20. Find the values of a and b so that x^4+x^3+8x^2+a x+b is divisible by ...

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