Home
Class 12
MATHS
The polynomials P(x) = kx^(3) + 3x^(2) -...

The polynomials `P(x) = kx^(3) + 3x^(2) - 3` and `Q(x) = 2x^(3) - 5x + k`, when divided by `(x - 4)` leave the same remainder. The value of k is

A

2

B

1

C

0

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 2 (Level -II)|11 Videos

  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 3|47 Videos

  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 1|36 Videos

  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 4 LEVEL - II|14 Videos

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos

Similar Questions

Explore conceptually related problems

If a is defined by f (x)=a_(0)x^(n)+a_(1)x^(n-2)+a_(2)x^(n-2)+...+a_(n-1)x+a_(n) where n is a non negative integer and a_(0),a_(1),a_(2),…….,a_(n) are real numbers and a_(0) ne 0, then f is called a polynomial function of degree n. For polynomials we can define the following theorem (i) Remainder theorem: Let p(x) be any polynomial of degree greater than or equal to one and 'a' be a real number. if p(x) is divided by (x-a), then the remainder is equal to p(a). (ii) Factor theorem : Let p(x) be a polynomial of degree greater than or equal to 1 and 'a' be a real number such that p(a) = 0, then (x-a) is a factor of p(x). Conversely, if (x-a) is a factor of p(x). then p(a)=0. THe polynomials P(x) =kx^(3)+3x^(2)-3 and Q(x)=2x^(3) -5x+k, when divided by (x-4) leave the same remainder. Then the value of k is

The polynomials P(x)=kx^(3)+3x^2-3and Q(x)=2x^(3)-5x+k, when divided by (x-4) leave the same remainder. The value of k is

Polynomials ax^(3)+3x^(2)-3 " and" 2x^(3)-5x+a when divided by (x-4) leave the same remainder. Find the value of a.

If the expressions px^(3) + 3x^(2) - 3 and 2x^(3) - 5x+p when divided by x - 4 leave the same remainder, then what is the value of p ?

If the polynomials ax^(3)+3x^(2)-13 and 2x^(3)-5x+a, when divided by (x-2) leave the same remainder,find the value of a .

The polynomials (2x^(3)+x^(2)-ax+2) and (2x^(3)-3x^(2)-3x+a) when divied by (x-2) leave the same remainder.Find the value of a.

The polynomials (2x^(3)+x^(2)-ax+2)and(2x^(3)-3x^(2)-3x+a) when divided by (x-2) leave the same remainder . Find the value of a.

The polynomial p(x)=ax^(3)-3x^(2)+4 and g(x)=2x^(3)-5x+a when divided by (x-2) and (x-3) leaves the remainder p and q respectively.If p-2q=4 then value of a.

The polynomial f (x) = ax ^(3) + 9x ^(2) + 4x - 8, when divided by (x+3) leaves the remainder (-20). Then , the value of a is

MOTION-BASIC MATHEMATIC & LOGARITHM -Exercise - 2 (Level -I)
  1. The number of real roots of the equation (x - 1)^(2) + (x -2)^(2) + (x...

    Text Solution

    |

  2. If a,b,c are real and distinct nubmer , then the value of ((a -b)^(3) ...

    Text Solution

    |

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

    Text Solution

    |

  4. If a=log(12)18 and b=log(24)54 then find the value of ab+5(a-b)

    Text Solution

    |

  5. Calculate 7^(log g(3)5) + 3 ^(log(5)7 ) - 5 ^(log(3)7) - 7 ^(log(5)3)

    Text Solution

    |

  6. If 4^A+9^B=10^C ,\ where A=(log)(16)4,\ B=(log)3 9\ &\ C=(log)x 83 th...

    Text Solution

    |

  7. log(3) (log(9)x + 1/2 + 9^(x)) = 2x

    Text Solution

    |

  8. If xy^(2) = 4 and log(3) (log(2) x) + log(1//3) (log(1//2) y)=1 , then...

    Text Solution

    |

  9. If alpha le log (sqrt5) [sqrt2( sin x - cos x) + 3] le beta then

    Text Solution

    |

  10. If 1/2 le log(0.1) x le 2, then

    Text Solution

    |

  11. If log(10) 2 = 0.3010 " and " log(10) 3 = 0.4771, then find the number...

    Text Solution

    |

  12. The number of zeros immediately after the decimal in 3^(-100)

    Text Solution

    |

  13. Given log10 (34.56)=1.5386 find log10 (3.456) ;log10(0.3456) and log10...

    Text Solution

    |

  14. Find the number of positive integers which have the characterstics 3 w...

    Text Solution

    |

  15. If x satisfies |x-1|+|x-2|+|x-3|geq6

    Text Solution

    |

  16. Number of real x satisfying the equation |x -1| = |x - 2| + |x - 3|...

    Text Solution

    |

  17. The number of ordered pairs (x, y) satisfying the equation x - y = (...

    Text Solution

    |

  18. The equation sqrt(1+log(x) sqrt27) log(3) x+1 = 0 has

    Text Solution

    |

  19. If A={x|x is prime number and x<30}, find the number of different rati...

    Text Solution

    |