Home
Class 9
MATHS
If x-2 is a factor of each of the follow...

If `x-2` is a factor of each of the following two polynomials, find the values of `a` in each case. `x^3-2a x^2+a x-1` and `x^5-3x^4-a x^3+3a x^2+2a x+4`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • FACTORIZATION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|226 Videos

  • GRAPHICAL REPRESENTATION OF STATISTICAL DATA

    RD SHARMA ENGLISH|Exercise All Questions|85 Videos

Similar Questions

Explore conceptually related problems

If x-2 is a factor of each of the following two polynomials, find the values of a in each case. (i) x^3-2a x^2+a x-1 (ii) x^5-3x^4-a x^3+3a x^2+2a x+4

In each of the following polynomials, find the value of a if x+a is a factor: x^4-a^2x^2+3x-a

In each of the following polynomials, find the value of a if x+a is a factor: x^3+a x^2-2x+a+4

In each of the following two polynomials, find the value of a , if x-a is a factor: x^6-a x^5+x^4-a x^3+3x-a+2 and x^5-a^2x^3+2x+a+1

In each of the following two polynomials, find the value of a , if x+a is a factor. i) x^3+a x^2-2x+a+4 ii) x^4-a^2x^2+3x-a

In each of the following two polynomials, find the value of a , if x+a is a factor. (i) x^3+a x^2-2x+a+4 (ii) x^4-a^2x^2+3x-a

Using factor theorem, factorize each of the following polynomials : x^3+2x^2-x-2

Using factor theorem, factorize each of the following polynomials : x^3+2x^2-x-2

Using factor theorem, factorize each of the following polynomials : 3x^3-x^2-3x+1

Using factor theorem, factorize each of the following polynomials : 3x^3-x^2-3x+1

RD SHARMA ENGLISH-FACTORIZATION OF POLYNOMIAL-All Questions
  1. What must be subtracted from x^3-6x^2-15 x+80 so that the result is ex...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Using factor theorem factorize the following: x^3−6x^2+3x+10

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |