Home
Class 12
MATHS
If f(x)=x^4-2x^3+3x^2-a x+b is a polyno...

If `f(x)=x^4-2x^3+3x^2-a x+b` is a polynomial such that when it is divided by `(x-1)a n d(x+1)` the remainders are 5 and 19 respectively. If `f(x)` is divided by `(x-2)` , then remainders is: `0` b. `5` c. `10` d. `2`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    RESONANCE DPP|Exercise All Questions|4 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    RESONANCE DPP|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

If f(x)=x^(4)-2x^(3)+3x^(2)-ax+b is a polynomial such that when it is divided by (x-1)and (x+1) the remainders are 5 and 19 respectively. If f(x) is divided by (x-2), then find the remainder.

If f(x)=x^(4)-2x^(3)+3x^(2)-ax+b is a polynomial such that when it is divided by (x-1) and (x+1) the remainders are 5 and 19respectively.If f(x) is divided by (x-2) , then remainder is: 0 (b) 5 (c) 10 (d) 2

If f(x) = x^4 - 2 x^3 + 3 x^2 - ax +b a polynomial such that when it is divided by (x-1) and (x+1); the remainders are 5 and 19 respectively. Determine the remainder when f(x) is divided by (x-2).

If f(x)=x^(4)-2x^(3)+3x^(2)-ax+b is a polynomial such that when1it is divided by x-1 and x+1, remainders are 5 and 19 respectively.Determine the remainder when f(x) is divided by x-1.

If f(x)=x^(4)-2x^(3)+3x^(2)-ax+b is a polynomial such that when it is divided by x-1 and x+1 the remainders are respectively 5 and 19.Determine the remainder when f(x) is divided by x-2 .

If f(x)=x^(4)-2x^(3)+3x^(2)-ax+b is a polynomial such that when it is divided by x-1 and x+1, the remainders are respectively 5 and 19. Determine the remainder when f(x) is divided by (x-2) .

Let f(x) be a polynomial function, if (x) is divided by x-1,x+1&x+2, then remainders are 5,3 and 2 respectively. When f(x) is divided by x^(3)+2x^(2)-x-2, them remainder is :

If p(x)^(4)-2x^(3)+3x^(2)-ax+b be a polynomial such that when it is divided by x-1 and x+1, remainders are respectively 5 and 19. Determine the remiander when p(x) is divided by x-2.

If a polynomial f(x) is divided by (x-a)(x-b), the remainder is

RESONANCE DPP-BOARD PAPER SOLUTIONS-All Questions
  1. In the given figure (circle), P T=5,P D=7a n dP A=2, then the value of...

    Text Solution

    |

  2. The positive integers p ,q ,&r are all primes if p^2-q^2=r , then find...

    Text Solution

    |

  3. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divi...

    Text Solution

    |

  4. If x ,y ,z are all different real numbers, then 1/((x-y)^2)+1/((y-z)...

    Text Solution

    |

  5. If s e ctheta+t a ntheta=5theta in (0,pi//2) , then "tan"(theta//2) is...

    Text Solution

    |

  6. If s intheta+cos e ctheta=2 , then the value of sintheta/(16)sintheta/...

    Text Solution

    |

  7. The number of integral values of k for which the equation 7cos x +5 s...

    Text Solution

    |

  8. The number of solutions of the equation cos6x+tan^2x+cos(6x)tan^2x=1 ...

    Text Solution

    |

  9. If A , B , C are three real numbers and p=[A+b+C] and q=[A]+[B]+[C]dot...

    Text Solution

    |

  10. The graphs of y=sin x ,y=cos x , y=tan x \ & \ y=cosec x drawn on the ...

    Text Solution

    |

  11. if sinx=cos^2xthen cos^2x(1+cos^2x)is equal to

    Text Solution

    |

  12. Value of (cos 12^0+s in 12^0)/(cos 12^0-s in 12^0) is equal to t a n 4...

    Text Solution

    |

  13. If the roots of the equation , x^2+2c x+ab=0 are real and unequal, the...

    Text Solution

    |

  14. If sum of the roots of the quadratic equation, a x^2+b x+c=0i s12 , th...

    Text Solution

    |

  15. The smallest of values of x^2-3x+3 in the interval [-3,3/2] is a. -20 ...

    Text Solution

    |

  16. If alphaa n dbeta are roots of the quadratic equation a x^2+b x+c=0 an...

    Text Solution

    |

  17. Given that a x^2+b x+c=0 has no real roots and a+b+c<0, then c!=0 b. c...

    Text Solution

    |

  18. If alphaa n dbeta ( alpha < beta) are the roots of equation x^2+b x-c...

    Text Solution

    |

  19. Number of real solutions of the equation x^2+(x/(x-1))^2=8 are a. 3 ...

    Text Solution

    |

  20. Draw the graph of y=2x^3-15 x^2+36 x+12 y=-x^4+2x^2-3

    Text Solution

    |