Home
Class 10
MATHS
Find the polynomial of least degree that...

Find the polynomial of least degree that should be subtracted from `p(x)=x^3-2x^2+3x+4` so that it is exactly divisible by `g(x)=x^2-3x+1`

Promotional Banner

Topper's Solved these Questions

  • SOLVED PAPER SSLC KARNATAKA JUNE 2020

    OSWAAL PUBLICATION|Exercise Answer the following questions |37 Videos

  • SOLVED PAPER (SSLC KARNATAKA APRIL 2019)

    OSWAAL PUBLICATION|Exercise Answer the following :|29 Videos

  • SOME APPLICATION OF TRIGONOMETRY

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER EXERCISE 12.1|16 Videos

Similar Questions

Explore conceptually related problems

What must be subtracted from (x^(3)+5x^(2)+5x+8) so that the resulting polynomial Is excatly divisible by (x^(2)+3x-2) ?

What should be added to x^(4)-1 so that it is exactly divisible by 2x^(2)+2x+1

What must be added to f(x) = x^(4) + 2x^(3) - 2x^(2) + x- 1 so that the polynomial is exactly divisible by g(x) = x^(2) +2x - 3 ?

We must be added to 2x^(3)+3x^(2)-22x+12 so that the result is exactly divisible by 2x^(2)+5x-14

Find zero of the polynomial p (x) = 3x +1

What must be added to the polynomial P(x)= x^(4)+2x^(3)-2x^(2)+x-1 So that the resulting polynomial is excatly divisible by x^(2)+x-3

Without actual division, show that f(x) = 2x^(4) - 6x^(3) + 3x^(2) + 3x - 2 is exactly divisible by x^(2)- 3x + 2 .

What must be (a) subtracted from (b) added to f(x) = 8x^(4) + 14 x^(3) - 2x^(2) + 7 x - 8 so that resulting polynomial is exactly divisible by 4x^(2) + 3x - 2 ?

What real number should to subtracted from the polynomial 3x^(3) + 10x^(2) - 14 x + 9 so that (3x - 2) divides it exactly ?

What must be added to f(x) = x^(4) + 2x^(3) - 2x^(2) + x- 1 so that the resulting polynomial is a multiple of x^(2) + 2x - 3 ?

OSWAAL PUBLICATION-SOLVED PAPER SSLC KARNATAKA JUNE 2020 -Answer the following questions
  1. Find the discriminant of the equation 2x^2-5x+3=0 and hence write the ...

    Text Solution

    |

  2. If one root of the polynomial p(x) =x^2-6x+k is twice the other then ...

    Text Solution

    |

  3. Find the polynomial of least degree that should be subtracted from p(x...

    Text Solution

    |

  4. Find the distance between the points (-5,7) and (-1,3).

    Text Solution

    |

  5. Find the coordinates of the point which divides the line joining the p...

    Text Solution

    |

  6. The points A(1,1),B(3,2) and C(5,3) cannot be the vertices of the tria...

    Text Solution

    |

  7. Draw a pair of tangents to a circle of radius 3 cm which are inclined ...

    Text Solution

    |

  8. Prove that sqrt(5) is an irrational number.

    Text Solution

    |

  9. Find the HCF of 24 and 40 by using Euclids division algorithm. Hence f...

    Text Solution

    |

  10. To save fuel , to avoid air pollution and for good health two persons ...

    Text Solution

    |

  11. If x=ptantheta+ qsectheta and y=psectheta+qtantheta the prove that x^2...

    Text Solution

    |

  12. Prove that cot^2(90^@-theta)/(tan^2theta-1)+Cosec^2theta/(sec^2theta-c...

    Text Solution

    |

  13. Find the median of the data:

    Text Solution

    |

  14. Find the mode of the following data:

    Text Solution

    |

  15. The following table gives the information of daily income of 50 worker...

    Text Solution

    |

  16. A bag contains 3 red balls, 5 white balls and 8 blue balls. One ball i...

    Text Solution

    |

  17. Prove that "the lengths of tangents drawn from an external points to a...

    Text Solution

    |

  18. Construct a triangle ABC with sides BC = 3 cm, AB = 6 cm and AC = 4.5 ...

    Text Solution

    |

  19. ABCD is a rectangle of length 20cm and breadth 10cm. OAPB is a sector ...

    Text Solution

    |

  20. A hand fan is made up of cloth fixed in between the metallic wires. it...

    Text Solution

    |