Home
Class 9
MATHS
If both (x-2) and (x - (1)/(2)) are fra...

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

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 2 is a root of x^(2) + 5x + r = 0 then r = …

p(x) = 2x+1 then p(-1//2) =

p(x) = x^(2) + 5x + 6 then zeros of p(x) = …………..

If the coefficient of r^(th) ,( r +1)^(th) " and " (r +2)^(th) terms in the expansion of (1+x)^n are in A.P then show that n^2 - (4r +1)n + 4r^2 - 2 =0

If the coefficients of r^("th"),(r+1)^("th") and (r+2)^("nd") terms in the expansion of (1+x)^(n) are in A.P. then show that n^(2)-(4r+1)n+4r^(2)-2=0.

If p(x) = x^2+5x+4 then p(- 4) =

Given that roots of x^3+3px^2+3qx+r=0 are in G.P. show that p^3 r=q^3

VGS PUBLICATION-BRILLIANT-POLYNOMIAL AND FACTORIISATION-EXERCISE
  1. Show that (x-2) , (x+3) and (x-4) are factors of x ^(3) -3x ^(2) -10x ...

    Text Solution

    |

  2. Show that (x + 4), (x - 3) and (x-7) are factors of x^3-6x^2 - 19x + 8...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |