Home
Class 9
MATHS
Find the remainder when f(x)=x^3-6x^2+2x...

Find the remainder when `f(x)=x^3-6x^2+2x-4` is divided by `g(x)=3x-1.`

Text Solution

Verified by Experts

By remainder theorem , `3x-1=0, x=1/3`
`f(x)=(1/3)^3-6(1/3)^2+2(1/3)-4`
`=>1/27-6/9+2/3-4`
`=>(1-18+18-108)/27`
`=>-107/27`
Promotional Banner

Topper's Solved these Questions

  • FACTORIZATION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA|Exercise All Questions|226 Videos

  • GRAPHICAL REPRESENTATION OF STATISTICAL DATA

    RD SHARMA|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Find the remainder when p(x)=x^(3)-5x^(2)+4x+5 is divided by g(x)=3x-1

Find the remainder when f(x)=x^(4)-3x^(2)+4 is divided by g(x)=x-2 is.

Find the remainder when p(x)=4x^(3)-12x^(2)+14x-3 is divided by g(x)=x-(1)/(2)

Find the remainder when p(x)=x^(3)-ax^(2)+6x-a is divided by (x-a)

Find the remainder when p(x)=x^(3)-ax^(2)+6x-a is divided by (x-a)

If f (x-2)-2x^(2)-3x+4 , then find the remainder when f (x) is divided by (x-1).

(iv) Find the quotient and the remainder when P(x)=2x^(2)-3x+5 is divided by g(x)=x-2

Find the remainder when x^(4)+x^(3)-2x^(2)+x+1 is divided by x-1

The remainder when f(x)=4x^(3)+2x-1 is divided by 2x+1 is

Let p(x)=x^(4)-3x^(2)+2x+5. Find the remainder when p(x) is divided by (x-1)

RD SHARMA-FACTORIZATION OF POLYNOMIAL-All Questions
  1. Find the remainder when the polynomial ff(x)=2x^4-6x^3+2x^2-x+2 is d...

    Text Solution

    |

  2. Find the remainder when p(x)=4x^3-12 x^2+14 x-3 is divided by g(x)=x-1...

    Text Solution

    |

  3. Find the remainder when f(x)=x^3-6x^2+2x-4 is divided by g(x)=3x-1.

    Text Solution

    |

  4. Find the remainder when f(x)=x^3-6x^2+2x-4 is divided by g(x)=3x-1.

    Text Solution

    |

  5. If the polynomials a x^3+4x^2+3x-4 and x^3-4x+a leave the same remaind...

    Text Solution

    |

  6. The polynomials a x^3+3x^2-13 and 2x^3-5x+a are divided by x+2, if the...

    Text Solution

    |

  7. Let R1 and R2 are the remainders when the polynomials x^3+2x^2-5a x-7 ...

    Text Solution

    |

  8. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divid...

    Text Solution

    |

  9. Check whether the polynomial q(t)=4t^3+4t^2-t-1is a multiple of 2t+1

    Text Solution

    |

  10. f(x)=x^3+4x^2-3x+10 ,\ g(x)=x+4

    Text Solution

    |

  11. बहुपद f (x ) को बहुपद g (x ) से विभाजित करने पर शेषफल प्रमेय की सहायता...

    Text Solution

    |

  12. Find the remainder when P(x)-:G(x) (i)P(x)= 2x^4-6x^3+2x^2-x+2 ; G(x...

    Text Solution

    |

  13. f(x)=4x^3-12 x^2+14 x-3,\ g(x)=2x-1

    Text Solution

    |

  14. f(x)=x^3-6x^2+2x-4,\ g(x)=1-2x

    Text Solution

    |

  15. Find the remainder when f(x)=x^4-3x^2+4 is divided by g(x)=x-2 is.

    Text Solution

    |

  16. f(x)=9x^3-3x^2+x-5, g(x)=x-2/3

    Text Solution

    |

  17. f(x)=3x^4+2x^3-(x^2)/3-x/9+2/(27), g(x)= x+2/3

    Text Solution

    |

  18. If the polynomials a x^3+3x^2-13 and 2x^3-5x+a , when divided by (x-2)...

    Text Solution

    |

  19. The polynomials a x^3+3x^2-3 and 2x^3-5x+a when divided by (x-4) leave...

    Text Solution

    |

  20. If the polynomials a x^3+3x^2-13 and 2x^3-5x+a , when divided by (x-2)...

    Text Solution

    |