Home
Class 9
MATHS
Find the value of a and b so that the po...

Find the value of a and b so that the polynomial
`x^3-ax^2-13x+b` has (x-1) and (x+3)as factor.

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    MODERN PUBLICATION|Exercise EXERCISE|247 Videos

  • NUMBER SYSTEMS

    MODERN PUBLICATION|Exercise EXERCISE|232 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|45 Videos

Similar Questions

Explore conceptually related problems

Find the value of the polynomial 5x - 4x^2 + 3 at x=-1 .

Find the value of the polynomial 3x^3-4x^2+7x-5 , when x=3 and also when x=-3.

Find the value of a, if(x-a) is a factor of x^3-a^2x+x+2

Find the value of a if x + a is a factor of x^3 + ax^2 - 2x + a + 4 .

Find the values of a and b so that the following function is continuous at x = 3 and x=5: f(x) = {:{(1, if xle3),(ax+b,if 3< x <5),(7, if 5lex):}

Find the value of m so that 2x-1 be a factor 8x^4+4x^3-16x^2+10x+m

Find the value of k, if x - 1 is a factor of 4x^3 + 3x^2 -4x + k .

Find the remainder when the polynomial: f(x)=x^3-6x^2+13x+60 is divided by (x+2)

Find the value of k, if the polynomial: 2x^4+3x^3+2kx^2+3x+6 is exactly divisible by (x+2).

MODERN PUBLICATION-POLYNOMIALS-EXERCISE
  1. Prove that (x^3-3x^2-13x+15) is exactly divisible by x^2+2x-3

    Text Solution

    |

  2. Prove that (x-1) is a factor of x^10-1 and x^11-1

    Text Solution

    |

  3. Find the value of a and b so that the polynomial x^3-ax^2-13x+b has (x...

    Text Solution

    |

  4. If ax^3+bx^2+x-6 has (x+2) as a factor and a remainder 4 when divided ...

    Text Solution

    |

  5. If (x^2-1) is a factor of ax^4+bx^3+cx^2+dx+e if that a+c+e=b+d=0

    Text Solution

    |

  6. If both (x+1) and (x-1) are factors of ax^3-2x+b, find the values of a...

    Text Solution

    |

  7. find alpha and beta if (x+1) and (x+2) are factors x^3+3x^2-2alphax+be...

    Text Solution

    |

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

    Text Solution

    |

  9. What must be substracted from x^3-6x^2-15x+2 is so that the result is ...

    Text Solution

    |

  10. Factorize the following expressions 18x^2y-24xyz

    Text Solution

    |

  11. Factorize the following expressions 4(x+y)-6(x+y)^2

    Text Solution

    |

  12. Factorize the following expressions 8(3a-2b)^2-10(3a-2b)

    Text Solution

    |

  13. Factorize the following expressions ax-5b+ab-5x

    Text Solution

    |

  14. Factorize the following expressions x^3-x^2+ax+x-a-1

    Text Solution

    |

  15. Factorize the following expressions p^2+pq(q+1)+q^3

    Text Solution

    |

  16. Factorize the following expressions a(a-2b-c)+2bc

    Text Solution

    |

  17. Factorize the following expressions x^2-(a+b)x+ab

    Text Solution

    |

  18. Factorize the following expressions x^2+1/x^2-2-3x+3/x

    Text Solution

    |

  19. Factorize the following expressions 4a^2+12ab+9b^2-8a-12b

    Text Solution

    |

  20. Factorize the following expressions a(a+b)^3-3a^2b(a+b)

    Text Solution

    |