Home
Class 10
MATHS
On dividing the polynomial f(x)=x^3-3x^2...

On dividing the polynomial `f(x)=x^3-3x^2+x+2` by a polynomial `g(x)` , the quotient `q(x)` and remainder `r(x)` where `q(x)=x-2` and `r(x)=-2x+4` respectively. Find the polynomial `g(x)` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA ENGLISH|Exercise All Questions|391 Videos

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|183 Videos

Similar Questions

Explore conceptually related problems

Divide the polynomial p(x)=x^4 -3x^2+4x+5 by the polynomial g(x)=x^2-x+1 and find quotient and remainder.

Divide the polynomial f(x)=14 x^3-5x^2+9x-1 by the polynomial g(x)=2x-1 . Also, find the quotient and remainder.

Divide the polynomial u(x)=9x^4-4x^2+4 by the poly-nomial v(x)=3x^2+x-1 . Also, find the quotient and remainder.

On dividing (x^(3)-3x^(2)+x+2) by a polynomial g(x), the quotient and remainder are (x-2) and (-2x+4) respectively. Find g(x).

Divide the polynomial f(x)=6x^3+11 x^2-39 x-65 by the poly-nomial g(x)=x^2-1+x . Also, find the quotient and remainder.

On dividing 3x^(3)+x^(2)+2x+6 by a polynomial g(x), the quotient and remainder are (3x-5) and (3x+21) respectively. Find g(x).

On dividing x^3-3x^2+x+2 by a polynomial the quotient and remainder were x-2 and -2x+4 , respectively. Find g(x).

Divide the polynomial f(x)=30 x^4+11 x^3-82 x^2-12 x+48 by 3x^2+2x-4 . Also, find the quotient and remainder.

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : p(x)=x^3-3x^2+5x-3,g(x)=x^2-2

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : p(x)=x^4-3x^2+4x+5,g(x)=x^2+1-x

RD SHARMA ENGLISH-POLYNOMIAL-All Questions
  1. Find all the zeros of the polynomial f(x)=2x^4-3x^3-3x^2+6x-2 , if two...

    Text Solution

    |

  2. If two zeros of the polynomial f(x)=x^4-6x^3-26 x^2+138 x-35 are 2+-sq...

    Text Solution

    |

  3. On dividing the polynomial f(x)=x^3-3x^2+x+2 by a polynomial g(x) , th...

    Text Solution

    |

  4. If the polynomial f(x)=x^4-6x^3+16 x^2-25 x+10 is divided by another p...

    Text Solution

    |

  5. Apply division algorithm to find the quotient q(x) and remainder r(x) ...

    Text Solution

    |

  6. Apply division algorithm to find the quotient q(x) and remainder r(x) ...

    Text Solution

    |

  7. Apply division algorithm to find the quotient q(x) and remainder r(x) ...

    Text Solution

    |

  8. Apply division algorithm to find the quotient q(x) and remainder r(x) ...

    Text Solution

    |

  9. Check whether g(t)=t^2-3 is a factor of f(t)=2t^4+3t^3-2t^2-9t-12 by ...

    Text Solution

    |

  10. Check whether g(x)=x^3-3x+1 is a factor of f(x)=x^5-4x^3+x^2+3x+1 by ...

    Text Solution

    |

  11. Check whether g(x)=2x^2-x+3 is a factor of f(x)=6x^5-x^4+4x^3-5x^2-x-1...

    Text Solution

    |

  12. Obtain all zeros of the polynomial f(x)=2x^4+x^3-14 x^2-19 x-6 , if tw...

    Text Solution

    |

  13. Obtain all zeros of f(x)=x^3+13 x^2+32 x+20 , if one of its zeros is -...

    Text Solution

    |

  14. Obtain all zeros of the polynomial f(x)=x^4-3x^3-x^2+9x-6 , if two of ...

    Text Solution

    |

  15. Obtain all zeros of the polynomial f(x)=2x^4-2x^3-7x^2+3x+6 , if its t...

    Text Solution

    |

  16. What must be added to the polynomial f(x)=x^4+2x^3-2x^2+x-1 so that th...

    Text Solution

    |

  17. What must be subtracted from the polynomial f(x)=x^4+2x^3-13 x^2-12 x+...

    Text Solution

    |

  18. Find all zeros of the polynomial f(x)=x^4+x^3-34 x^2-4x+120 , if two o...

    Text Solution

    |

  19. Find all zeros of the polynomial f(x)=2x^3+x^2-6x-3 , if two of its ze...

    Text Solution

    |

  20. Find all zeros of the polynomial f(x)=x^3+3x^2-2x-6 , if two of its ze...

    Text Solution

    |