Home
Class 12
MATHS
If n is an integer, what is the remainde...

If n is an integer, what is the remainder when `3x^(2n+3)-4x^(2n+2)+5x^(2n+1)-8` is divided by x+1 ?

A

-20

B

-10

C

-4

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
According to the Remainder Theorem, simply substitute -1 for x. Since2n+3 and 2n+1 are odd , and 2n+2 is even, this substitution yields `3(-1)-4(1)+5(-1)-8=-20`. [4]
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the remainder when x^(6)-4x^(5)+3x^(4)-2x^(2)+x-1 is divided with x+2

The remainder obtained when 3x^(4)+7x^(3)+8x^(2)-2x-3 is divided by x+1 iss

Find the remainder when the polynomial 4x^(4)+3x^(2)-5x+1 is divided by (2x-1).

Let n be the value of the least integer (0 gt n gt 5) so that 3^(2n)+4 is not prime. What is the value of the remainder when 3^(2n)+4 is divided by n?

If n is an even number which leaves a remainder of two when divided by five , what is the remainder if (3n + 7) (2n +5) is divided by 10 /

Using remainder theorem, find the remainder when : (i) x^(3)+5x^(2)-3 is divided by (x-1) " " (ii) x^(4)-3x^(2)+2 is divided by (x-2) (iii)2x^(3)+3x^(2)-5x+2 is divided by (x+3) " " (iv) x^(3)+2x^(2)-x+1 is divided by (x+2) (v) x^(3)+3x^(2)-5x+4 is divided by (2x-1) " " (vi) 3x^(3)+6x^(2)-15x+2 is divided by (3x-1)

Find the remainder when the polynomial p(x)=x^(4)-3x^(2)+5x+1 is divided by (x-2).

The remainder when the positive integer m is divided by n is r. What is the remainder when 2m is divided by 2n?

Let a!=0a n dp(x) be a polynomial of degree greater than 2. If p(x) leaves reminders aa n d a when divided respectively, by +aa n dx-a , the remainder when p(x) is divided by x^2-a^2 is 2x b. -2x c. x d. x

If f(x)=2x^(3)+3x^(2)-x+1 is divided with x+1 and x-1 and the respective remainders are 5 and -1 then find the remainder when f(x) is divided with x^(2)-1 ?

ENGLISH SAT-MODEL TEST 3-MCQ
  1. Which of the following is horizontal asymptote to the function f(x)=(3...

    Text Solution

    |

  2. When a certain radioactive elements decays, the amount at any time t c...

    Text Solution

    |

  3. If n is an integer, what is the remainder when 3x^(2n+3)-4x^(2n+2)+5x^...

    Text Solution

    |

  4. Four men A,B,C and D, line up in a row. What is the probability that m...

    Text Solution

    |

  5. overset(10)underset(i=3)sum5

    Text Solution

    |

  6. The graph of y^4-3x^2+7=0 is symmetric with respect to which of the fo...

    Text Solution

    |

  7. In a group of 30 students, 20 take French, 15 take Spanish, and 5 take...

    Text Solution

    |

  8. If f(x)=x^2 , then (f(x+h)-f(x))/(h)=

    Text Solution

    |

  9. The plane Whose equation is 5x+6y+10z=30 forms a pyramid in the first ...

    Text Solution

    |

  10. What is the range of the function f(x)=3/(x-5)-1?

    Text Solution

    |

  11. Given the set of data 1,1,2,2,2,3,3,x,y, where x and y represent two d...

    Text Solution

    |

  12. If f(x)=sqrt(2x+3) and g(x)=x^2 , for what value (s) of x does f(g(x))...

    Text Solution

    |

  13. If 3x-x^2ge2 and y^2+yle2, then

    Text Solution

    |

  14. In /\ABC, if sin A=1/3 and sin B=1/4, sin C=

    Text Solution

    |

  15. The solution set of (|x-1|)/(x)gt2 is

    Text Solution

    |

  16. Suppose the graph of f(x)=-x^3+2 is translated 2 units right and 3 uni...

    Text Solution

    |

  17. In the figure above, the bases , ABC and DEF, of the right prism are e...

    Text Solution

    |

  18. The range of the piecewise function f(x) ={:{(3(x-1)^2-2,"if",x lt 6...

    Text Solution

    |

  19. The length of the major axis of the ellipse 3x^2+2y^2-6x8y-1=0 is

    Text Solution

    |

  20. A recent survey reported that 60 percent of the students at a high sch...

    Text Solution

    |