Home
Class 11
MATHS
Let p(x) be a quadratic polynomial with ...

Let p(x) be a quadratic polynomial with constant term 1. Suppose p(x) when divided by x-1 leaves remainder 2 and when divided by x+1 leaves remainder 4. Then the sum of the roots of p(x)=0 is

A

-1

B

1

C

1/2

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos
  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

Let p(x) be a quadratic polynomial with constant term 1 . Suppose p(x) when divided by x-1 leaves remiander 2 and when divided by x+1 leaves remainder 4 . Then the sum of the roots of p (x) = 0 is -

Find the remainder when x ^(3) +1 divided by (x +1)

Let P(x) be a polynomial, which when divided by x-3 and x-5 leaves remainders 10 and 6 respectively. If the polynomial is divided by (x-3) (x-5) then the remainder is

For a positive integer n,n(n+1)(2n+1) when divided by 6 leaves the remainder -

Let P(x) be a polynomial, which when divided by x-3 and x-5 leaves remainders 10 and 6 respectively. If the polynomial is divided by (x-3)(x-5) then the remainder is-

Polynomial P(x) contains only terms of odd degree. when P(x) is divided by (x - 3) , the ramainder is 6 . If P(x) is divided by (x^(2) - 9) then remainder is g(x) . Then find the value of g(2) .

Find the remainder when the polynomial is divided by (x-1)(x-2), if it leaves the remainder 2 when divided by (x-1) and 1 when divided by (x-2)

When a polynomial 2x ^(3) + 3x ^(2) + ax + b is divided by (x-2) leaves remainder 2, and (x +2) leaves remainder -2. Find a and b.

When (x^5 - 1) is divided by (2x + 1), then the remainder is

Find the remainder when x^3+4x^2-7x+6 is divided by x-1.

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. If a, b and c are positive numbers in a G.P., then the roots of the qu...

    Text Solution

    |

  2. If the equation x^2+2x+3=0 and ax^2+bx+c=0 , a, b, c in R, have a comm...

    Text Solution

    |

  3. If alpha and beta are the roots of x^2-x+1=0,then the value of alpha^(...

    Text Solution

    |

  4. If alpha,beta are the roots of the quadratic equation x^2+ax+b=0, (bne...

    Text Solution

    |

  5. Let p(x) be a quadratic polynomial with constant term 1. Suppose p(x) ...

    Text Solution

    |

  6. If alpha,beta are the roots of the quadratic equation ax^2+bx+c=0 and ...

    Text Solution

    |

  7. Let sinalpha,cosalpha, be the roots of the equation x^2-bx+c=0. Then w...

    Text Solution

    |

  8. What is the calorific value of 80 gms of carbohydrate, 15 gms of prote...

    Text Solution

    |

  9. The equation e^(sin x) -e^(-sin x)-4=0 has

    Text Solution

    |

  10. The equations x^2+x+a=0 and x^2+ax+1=0 have a common real root

    Text Solution

    |

  11. If (alpha+sqrtbeta) and (alpha-sqrtbeta) are the roots of the equation...

    Text Solution

    |

  12. If a, b, c are in arithmetic progression, then the roots of the equati...

    Text Solution

    |

  13. The quadratic equation 2x^2-(a^3+8a-1)x+a^2-4a=0 possesses roots of op...

    Text Solution

    |

  14. A value of b for which the equations x^2+bx-1=0, x^2+x+b =0 have one r...

    Text Solution

    |

  15. Let alpha and beta be the roots of the equation x^2-6x-2=0. If an=alph...

    Text Solution

    |

  16. Let alpha,beta be real and z be a complex number. Ifz^2+alphaz+beta=0 ...

    Text Solution

    |

  17. If sintheta and costheta are the roots of the equation ax^2-bx+c=0, th...

    Text Solution

    |

  18. Let a, b, c be three number such that a+2b+4c=0. Then the equation ax^...

    Text Solution

    |

  19. If the ratio of the roots of the equation px^2+qx+r is a:b, then ab/(...

    Text Solution

    |

  20. If alpha and beta are the roots of the equation x^2+x+1=0, then the eq...

    Text Solution

    |