Home
Class 10
MATHS
Using the factor theorem, show that (x-2...

Using the factor theorem, show that `(x-2)` is a factor of `x^(3) +x^(2) -4x -4`. Hence factorise the polynomial completely.

Text Solution

Verified by Experts

The correct Answer is:
`f(x)=(x+1)(x+2)(x-2)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Using the factor theorem, show that (x-2) is a factor of 3x^(2)-5x-2 . Hence factorise the given expression.

Using the Factor theorem, show that (i) (x-2) is a factor of x^(3)-2x^(2)-9x+18 . Hence factorise the expression x^2-2x^2-9x+18 completely. (ii) (x+5) is a factor of 2x^3+5x^2-28x-15 . Hence factorise the expression 2x^3+5x^2-28x-15 completely. (iii) (3x+2) is a factor of 3x^(3)+2x^(2)-3x-2 . Hence factorise the expression 3x^3+2x^2-3x-2 completely.

By actual division show that x+2 is a factor of x^(3)+4x^(2)+3x-2 .

Show that (x - 1) is a factor of x^(3)-7x^(2)+14x-8 Hence, completely factorise the given expression.

x^3-2x^2-x+2 Factorize the polynomial,

Show that (x-3) is a factor of the polynomial x^(3)+x^(2)-17x+15 .

Use the factor theorem to factorize x ^(3) + x ^(2) - 4x -4 completely.

Show that (x-3) is a factor of the polynomial x^3-3x^2+4x-12

ICSE-MATHEMATICS-2019-SECTION-B
  1. Using the factor theorem, show that (x-2) is a factor of x^(3) +x^(2) ...

    Text Solution

    |

  2. There are 25 disc numbered 1 to 25. They are put in a closed box and s...

    Text Solution

    |

  3. Rekha opened a recurring deposite account for 20 months. The rate of i...

    Text Solution

    |

  4. Use a graph sheet for this question. Take 1 cm = 1 unit along both x a...

    Text Solution

    |

  5. Use graph paper for this question. (Take 2 cm = 1 unit along both x-...

    Text Solution

    |

  6. Use a graph sheet for this question. Take 1 cm = 1 unit along both x a...

    Text Solution

    |

  7. Use a graph sheet for this question. Take 1 cm = 1 unit along both x a...

    Text Solution

    |

  8. In the given figure, anglePQR=anglePST=90^(@), PQ = 5cm and PS = 2 cm....

    Text Solution

    |

  9. In the given figure, anglePQR=anglePST=90^(@), PQ = 5cm and PS = 2 cm....

    Text Solution

    |

  10. The first and last term of a geometrical Pregression (G.P.) are 3 and ...

    Text Solution

    |

  11. A hemispherical and a conical hole is scooped out of a solid wooden cy...

    Text Solution

    |

  12. In the given figure AC is a tangent to the circle with centre O. If ...

    Text Solution

    |

  13. The model of a building is constructed with the scale factor 1:30. (...

    Text Solution

    |

  14. The model of a building is constructed with the scale factor 1 : 30. ...

    Text Solution

    |

  15. Given [(4,2),(-1,1)]M = 6 I, where M is a matrix and I is the unit mat...

    Text Solution

    |

  16. Given [(4,2),(-1,1)]M = 6 I, where M is a matrix and I is the unit mat...

    Text Solution

    |

  17. The sum of the first three terms of an Arithmeic Progression (A.P.) is...

    Text Solution

    |

  18. The vertices of a DeltaABC are A (3, 8), B (-1, 2) and C (6, -6). Find...

    Text Solution

    |

  19. The vertices of a DeltaABC are A(3, 8), B(-1, 2) and C(6, 6). Find : ...

    Text Solution

    |

  20. Show that the SHM is projection of uniform circular motion on the diam...

    Text Solution

    |

  21. The data on the number of patient attending a hospital in a month are ...

    Text Solution

    |