Home
Class 8
MATHS
Divide: (i)5z^3-6z^2+7z\ \ by 2z (ii)...

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

Text Solution

Verified by Experts

(i)`5z^3-6z^2+7z` by `2z`
`=(5z^3-6z^2+7z)/(2z)`
`=(5z^3)/(2z)-(6z^2)/(2z)+(7z)/(2z)`
`=5/2z^2-3z+7/2`

(ii)`sqrt(3)\ a^4+\ 2sqrt(3)\ a^3+3a^2-6a\ ` by `3a`
`=(sqrt(3)a^4+2sqrt(3)a^3+3a^2-6a)/(3a)`
`=1/sqrt(3)a^3+2/sqrt(3)a^2+a-2`
Promotional Banner

Topper's Solved these Questions

  • DIRECT AND INVERSE VARIATIONS

    RD SHARMA|Exercise All Questions|53 Videos
  • FACTORISATION

    RD SHARMA|Exercise All Questions|98 Videos

Similar Questions

Explore conceptually related problems

If z(2-i2sqrt(3))^(2)=i(sqrt(3)+i)^(4), then amplitude of z is

If z = i(i + sqrt(2)) , then value of z^(4) + 4z^(3) + 6z^(2) + 4z is

If z(2-2sqrt(3i))^(2)=i(sqrt(3)+i)^(4), then arg(z)=

If |z-3i|

If z = (-4 +2 sqrt3i)/(5 +sqrt3i) , then the value of arg(z) is

Factorize z^(2)+(3)/(2)z sqrt(5)-5

lim_(z->-3)[(sqrt(z+6))/z ]

If z=-2 + 2 sqrt3i then z^(2n) + z^(n) + 2^(4n) may be equal to

RD SHARMA-DIVISION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. Divide: (i)x+2x^2+3x^4-x^5\ by 2x (ii)y^4-3y^3+1/2y^2\ by 3y

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. 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...

    Text Solution

    |

  16. 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...

    Text Solution

    |

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

    Text Solution

    |

  18. Divide each of and find the quotient and remainder: 6x^3-x^2-10 x-...

    Text Solution

    |

  19. Divide each of and find the quotient and remainder: 6x^3+11 x^2-39...

    Text Solution

    |

  20. Divide each of and find the quotient and remainder: 30 x^4+11 x^3-...

    Text Solution

    |