Home
Class 9
MATHS
What must be added to 3x^3+x^2-22 x+9 so...

What must be added to `3x^3+x^2-22 x+9` so that the result is exactly divisible by `3x^2+7x-6?`

Text Solution

Verified by Experts

1409723 Hence, `-2x-3` should be added to `3x^3+x^2-22x+9` so that the result is exactly divisible by `3x^2+7x-6`.
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

What must be added to 3x^(3)+x^(2)-22x+9 so that the result is exactly divisible by 3x^(2)+7x-6?

What must be added to x^(3)-3x^(2)-12x+19 so that the result is exactly divisibly by x^(2)+x-6?

What must be added to 2x^(4)-5x^(3)+2x^(2)-x-3 so that the result is exactly divisible by ( x-2 ) ?

What must be added to x^(4)+2x^(3)-2x^(2)+x-1 so that the result is exactly divisible by x^(2)+2x-3.

What Must be added to x^(4)+2x^(3)-2x^(2)+x-1 so that the result is exactly divisible x^(2)+2x-3

What must be subtracted from x^(3)-6x^(2)-15x+80 so that the result is exactly divisible by x^(2)+x-12?

What must be subtracted from x^(3)-6x^(2)-15x+80=0 so that the resultant is exactly divisible by x^(2)+x-12?

What must be subtracted from 4x^(4)-2x^(3)-6x^(2)+x-5 so that the result is exactly divisible by 2x^(2)+x-1

What must be subtracted from (x^(4)+2x^(3)-2x^(2)+4x+6) so that the result is exactly divisible by (x^(2)+2x-3)?

What must be subtracted from (x^(4)+2x^(3)-2x^(2)+4x+6) so that the result is exactly divisible by (x^(2)+2x-3) ?

RD SHARMA-FACTORIZATION OF POLYNOMIAL-All Questions
  1. What must be added to x^3-3x^2-12 x+19 so that the result is exactly...

    Text Solution

    |

  2. What must be subtracted from x^3-6x^2-15 x+80 so that the result is ex...

    Text Solution

    |

  3. What must be added to 3x^3+x^2-22 x+9 so that the result is exactly di...

    Text Solution

    |

  4. If x-2 is a factor of each of the following two polynomials, find th...

    Text Solution

    |

  5. In each of the following two polynomials, find the value of a , if x...

    Text Solution

    |

  6. In each of the following two polynomials, find the value of a , if x...

    Text Solution

    |

  7. Show that (x-2) is a factor of the polynomial f(x)=2x^3-3x^2-17 x+30 a...

    Text Solution

    |

  8. Using factor theorem, factorize the polynomial x^3-6x^2+11 x-6 .

    Text Solution

    |

  9. Using factor theorem, factorize the polynomial x^4+x^3-7x^2-x+6

    Text Solution

    |

  10. Using factor theorem, factorize the polynomial x^4-2x^3-13 x^2+14 x+2...

    Text Solution

    |

  11. Factorize : 2x^4+x^3-14 x^2-19 x-6

    Text Solution

    |

  12. Factorize x^3+13 x^2+32 x+20 , if it is given that x+2 is its factor.

    Text Solution

    |

  13. Factorize 9z^3-27 z^2-100 z+300 , if it is given that (3z+10) is a fac...

    Text Solution

    |

  14. using factor theorm factorize the following x^3+6x^2+11x+6

    Text Solution

    |

  15. Using factor theorem, factorize each of the following polynomials :...

    Text Solution

    |

  16. using factor theorm factorize the following x^3−6x^2+3x+10

    Text Solution

    |

  17. Using factor theorem, factorize each of the following polynomials : x^...

    Text Solution

    |

  18. Using factor theorem, factorize each of the following polynomials : ...

    Text Solution

    |

  19. Using factor theorem, factorize the following polynomial : x^4+10x^3+...

    Text Solution

    |

  20. Using factor theorem, factorize each of the following polynomials : ...

    Text Solution

    |