Home
Class 12
MATHS
Let f(x) be a polynomial function, if (x...

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 :

A

`x-4`

B

`x+4`

C

`x-2`

D

`x+2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos
  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

When a polynomial P (x) is divided by x,(x-2)and (x-3), remainders are 1,3 and 2 respectively. If the same polynomial is divided by x(x-2)(x-3), the remainder is g(x), then the value of g(1) is

STATEMENT 1 : When a polynomial P(x)(d egr e e >2) is divided by (x-1) and (x-2) the remainders are -1 and 1 respectively. If the same polynomial is divided by (x-1)(x-2) then the remainder is (2x-3) STATEMENT 2 : If P(x) is divided by a quadratic expression, then the remainder is either 0 or a polynomial whose degree is at most 1.

If a polynomial f (x) is divided by (x - 3) and (x - 4) it leaves remainders as 7 and 12 respectively, then find the remainder when f (x) is divided by (x-3)(x-4)

When a polynomial f(x) is divisible by x-3 and x+6, the respective remainders are 7 and 22. What is the remainder when f(x) is divided by (x-3)(x+6) ?

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

If f(x)=x^4-2x^3+3x^2-a x+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)dot

If f(x)=x^4-2x^3+3x^2-a x+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)dot

When -2x^(3)-2x^(2)+27x-30 is divided by 2-x, what is the remainder?

RESONANCE ENGLISH-DPP-QUESTION
  1. Least integral value of x satisfying the inequation (x^(2)+1)lt(x+2)^(...

    Text Solution

    |

  2. The polynomials P(x)=kx^(3)+3x^2-3and Q(x)=2x^(3)-5x+k, when divided b...

    Text Solution

    |

  3. Let f(x) be a polynomial function, if (x) is divided by x-1,x+1&x+2, t...

    Text Solution

    |

  4. The solutin set of the inequlity (1)/(x-2)-1/xle(2)/(x+2)is (-alpha,be...

    Text Solution

    |

  5. From the sets given below, select pairs of equal and equivalent sets. ...

    Text Solution

    |

  6. Which of the following statements are true and which false ? {:((i),...

    Text Solution

    |

  7. Which of the following are sets ? Justify your answer (i) A team of ...

    Text Solution

    |

  8. In algebra, the determinant is useful value that can be computer from ...

    Text Solution

    |

  9. In algebra, the determinant is useful value that can be computer from ...

    Text Solution

    |

  10. In algebra, the determinant is useful value that can be computer from ...

    Text Solution

    |

  11. Find the value of 'a', if (x - a) is a factor of x^(3)-ax^2+x+2.

    Text Solution

    |

  12. If 2x^(3)-5x^(2)+x+2=(x-2)(ax^(2)-bx-1), then a & b are respectively :

    Text Solution

    |

  13. If x, y are rational numbers such that (x+y)+(x-2y)sqrt(2)=2x-y+(x-y-1...

    Text Solution

    |

  14. Write the following sets in Roaster form : (i) A={x:x" is a natural ...

    Text Solution

    |

  15. Write of the following sets in the set builder from : {:((i),{1},(ii...

    Text Solution

    |

  16. Are the following of sets equal ? (i) {x:x is a letter in the word '...

    Text Solution

    |

  17. If x/a=y/b=z/c, then show that (x^3+a^3)/(x^2+a^2)+(y^3+b^3)/(y^2+b^2)...

    Text Solution

    |

  18. If |{:(x^(2)-2x+3,7x+2,x+4),(2x+7,x^(2)-x+2,3x),(3,2x-1,x^(2)-4x+7):}|...

    Text Solution

    |

  19. If 1/3(log)3M+3(log)3N=1+(log)(0. 008)5, then

    Text Solution

    |

  20. (log)3(1+1/3)+(log)3(1+1/4)+(log)3(1+1/5)+ddot+(log)3(1+1/(242)) when...

    Text Solution

    |