Home
Class 9
MATHS
If (x ^(2) -1) is a factor of ax ^(4) + ...

If `(x ^(2) -1)` is a factor of `ax ^(4) + bx ^(3) + cx ^(2) + dx +e,` then show that `a + c +e =d +d=0`

Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL CONSTRUCTIONS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|36 Videos
  • PROBABILITY

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|76 Videos

Similar Questions

Explore conceptually related problems

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

If 3/4, -5/2, 1/2 , -3 are the roots of ax^(4) + bx^(3) + cx^(2) + dx + e = 0 then the roots of ex^(4) + dx^(3) + cx^(2) + bx + d = 0 are

If 1,2,3 and 4 are the roots of the eqaution x^(4) + ax^(3) + b x^(2) + cx + d = 0, then a + 2b + c =

The degree of the polynomial ax^(4) + bx^(3) + cx^(2) + dx + e is ………..

If f(x) =ax^(5) + bx^(3) + cx +d is an odd function, then d=

If 2,5,7,-4 are the roots of ax^4 + bx^3 + cx^2 + dx +e=0 then the roots of ax^4 - bx^3 + cx^2 -dx +e=0 are

If -2, 5, 7, - 11 are the roots of ax^(4) + bx^(3) +cx^(2) + dx + e = 0 then the roots of ax^(4) - bx^(3) + cx^(2) - dx + e = 0 are

IF (x-2) is a common factor of the expression x^2 + ax + b and x ^2 + cx + d then (b-d) /( c-a ) =

If sin^(2) A = x and prod_(r = 1)^(4) sin (rA) = ax^(2) + bx^(3) + cx^(4) + dx^(5) then the value of a + b + c + d must be

VGS PUBLICATION-BRILLIANT-POLYNOMIAL AND FACTORIISATION-EXERCISE
  1. Show that (x + 4), (x - 3) and (x-7) are factors of x^3-6x^2 - 19x + 8...

    Text Solution

    |

  2. If both (x-2) and (x - (1)/(2)) are fractors of p x ^(2)+ 5x +r, then...

    Text Solution

    |

  3. If (x ^(2) -1) is a factor of ax ^(4) + bx ^(3) + cx ^(2) + dx +e, the...

    Text Solution

    |

  4. Factorise : x^3+13x^2+32x+20

    Text Solution

    |

  5. Factorise : y^3+y^2-y-1

    Text Solution

    |

  6. If ax^(2)+ bx +c and bx ^(2) + ax + c have a common factor x +1 then s...

    Text Solution

    |

  7. If x ^(2) -x-6 and x ^(2) + 3x -18 have a common factor (x -a) then fi...

    Text Solution

    |

  8. If (y-3) is a factor of y ^(3) - 2y ^(2) - 9y+ 18 then find the other ...

    Text Solution

    |

  9. Try to draw the geometrical figures for other identities. (x+y)^2=x^2+...

    Text Solution

    |

  10. Try to draw the geometrical figures for other identities. (x+y) (x-y)...

    Text Solution

    |

  11. Try to draw the geometrical figures for other identities. (x+a) (x+b)...

    Text Solution

    |

  12. Try to draw the geometrical figures for other identities. (x+a) (x+b) ...

    Text Solution

    |

  13. Find the product of the following us ing appropriate identities : (x +...

    Text Solution

    |

  14. Find the following product using appropriate identities. (p-3) (p+3)

    Text Solution

    |

  15. Find the following product using appropriate identities. (y-1) (y-1)

    Text Solution

    |

  16. Find the following product using appropriate identities. (t+2) (t+4)

    Text Solution

    |

  17. Find the following product using appropriate identities. 102 xx 98

    Text Solution

    |

  18. Find the following product using appropriate identities. (x+1) (x+2) (...

    Text Solution

    |

  19. Factorise : x^2+5x+4

    Text Solution

    |

  20. 9x^(2)-25=

    Text Solution

    |