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Divide: (i) 6x^4y z-3x y^3z+8x^2y z^2y ...

Divide: (i) `6x^4y z-3x y^3z+8x^2y z^2y z^4\ \ ` by`\ \ 2x y z` (ii) `2/3a^2b^2c^2+4/3a b^2c^3-1/5a b^3c^2` b`y\ \ 1/2a b c`

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(i) `6x^4yz-3xy^3z+8x^2yz^2+yz^4` by `2xyz`
`=(6x^4yz-3xy^3z+8x^2y^2z^6)/(2xyz)`
`=(6x^4yz)/(2xyz)-(3xy^3z)/(2xyz)+(8x^2y^2z^6)/(2xyz)`
`=3x^3-3/2y^2+4xyz^5`

(ii) `2/3a^2b^2c^2+4/3a b^2c^3-1/5a b^3c^2` by `1/2a b c`
`=(2/3a^2b^2c^2)/(1/2abc)+(4/3ab^2c^2)/(1/2abc)-(1/5ab^3c^2)/(1/2abc)`
`=4/3abc+8/3bc-2/5b^2c`
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RD SHARMA-DIVISION OF ALGEBRAIC EXPRESSIONS-All Questions
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  2. 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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  3. 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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  4. 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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  5. Divide: (i)-4a^3+4a^2+a\ \ by 2a (ii)-x^6+2x^4+4x^3+2x^2\ by sqrt(...

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

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

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

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

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

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  11. 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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  12. Divide: 3y^5+6y^4+6y^3+7y^2+8y+9\ b y\ 3y^3+1 and verify that dividend...

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

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  14. 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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  15. Divide: 5x^3-15 x^2+25x by 5x 4z^3+6z^2-z by -1/2z

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  16. Divide: 3x^3y^2+2x^2y+15xy by 3x y x^2+7x+12 by x+4

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  17. Divide: 3x^3+4x^2+5x+18\ b y\ x+2 & 14 x^2-53 x+45\ b y\ 7x-9

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  18. Divide: 3y^4-3y^3-4y^2-4y^2-4y-b y\ y^2-2y 2y^5+10 y^4+6y^3+y^2+5y...

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  19. Divide: m^3-14 m^2+37 m-26\ b y\ m^2-12 m+13 x^4+x^2+1\ b y\ x^2+x...

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  20. Divide each of and find the quotient and remainder: 14 x^3-5x^2+9x-...

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