Home
Class 9
MATHS
Prove that: (x+3) is a factor of x^5+3x^...

Prove that:
(x+3) is a factor of `x^5+3x^4-x^3-3x^2`

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

Prove that: (x-3) is a factor of x^3+x^2-17x+15 .

Prove that: (x+5) is a factor of x^3+x^2+3x+115

Prove that: (3x-2) is a factor of 3x^3+x^2-20x+12

Prove that: (x-1) is a factor of 2x^4+9x^3+6x^2-11x-6

Prove that (3x-2) is a factor of (3x^3+x^2-20x+12)

Prove that: (x+1) and (2x-3) are factors of 2x^3-9x^2+x+12

Use factor theorem to verify in the following that q(x) is a factor of p(x)= 2x^3+5x^2-3x-4, q(x)=x-1 .

Use factor theorem to verify in the following that q(x) is a factor of p(x)=3x^6-7x^5+7x^4-3x^3+2x^2-2,q(x)=x-1 .

Use factor theorem to verify in the following that q(x) is a factor of p(x)=3x^3+x^2-20x+12,q(x)=3x-2 .

Factor: 16x^3 – y^4x^3

MODERN PUBLICATION-POLYNOMIALS-EXERCISE
  1. Prove that: (x-1) is a factor of 2x^4+9x^3+6x^2-11x-6

    Text Solution

    |

  2. Prove that: (x+5) is a factor of x^3+x^2+3x+115

    Text Solution

    |

  3. Prove that: (x+3) is a factor of x^5+3x^4-x^3-3x^2

    Text Solution

    |

  4. Prove that: (3x-2) is a factor of 3x^3+x^2-20x+12

    Text Solution

    |

  5. Prove that: (x-1) is a factor of 2x^4+9x^3+6x^2-11x-6

    Text Solution

    |

  6. Prove that: (x-sqrt2) is a factor of (7x^2-4sqrt2x-6)

    Text Solution

    |

  7. Prove that: (x+sqrt2) is a factor of (2sqrt2x^2+5x+sqrt2)

    Text Solution

    |

  8. Prove that: (x+1) and (2x-3) are factors of 2x^3-9x^2+x+12

    Text Solution

    |

  9. Find the integral zeroes of the polynomial: p(x)=x^3+6x^2+11x+6

    Text Solution

    |

  10. Find the value of k if: (x-k) is a factor of x^3-k^2x+x+2

    Text Solution

    |

  11. Find the value of k if (x+3) is a factor of 3x^3+kx+6

    Text Solution

    |

  12. Prove that (x^3-3x^2-13x+15) is exactly divisible by x^2+2x-3

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |