Home
Class 10
MATHS
Polynomials ax^(3)+3x^(2)-3 " and" 2x^(3...

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.

A

1

B

`-1`

C

2

D

`-2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Multiple Choice Questions) LEVEL-2|15 Videos
  • POLYNOMIALS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Match the Following )|2 Videos
  • POLYNOMIALS

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION (EXERCISE 2.4)|6 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION (EXERCISE 3.7)|18 Videos
  • PROBABILITY

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|26 Videos

Similar Questions

Explore conceptually related problems

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 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

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

If the polynomials x^(3)-ax^(2)+5 and x^(3)-2x^(2)+a are 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 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

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 ?

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

The polynomial p(x)=x^(4)-2x^(3)+3x^(2)-ax+3a when divided by (x+1) leaves the remainder 19 . Find the value of a .

MTG IIT JEE FOUNDATION-POLYNOMIALS-EXERCISE (Multiple Choice Questions) LEVEL-1
  1. If p(y)=3y^(4)-5y^(3)+y^(2)+8, then p(-1) will be

    Text Solution

    |

  2. Degree of polynomial y^(3)-2y^(2)-sqrt3y+(1)/(2) is

    Text Solution

    |

  3. Polynomials ax^(3)+3x^(2)-3 " and" 2x^(3)-5x+a when divided by (x-4) l...

    Text Solution

    |

  4. The sum and product of the zeroes of a quadratic polynomial are 2 and ...

    Text Solution

    |

  5. One zero of the quadratic polynomial 2x^2-8x-m is 5/2 ; determine the ...

    Text Solution

    |

  6. If alpha and beta are the zeros of the quadratic polynomial f(x)=x^...

    Text Solution

    |

  7. If alpha, beta, gamma are the zeros of the polynomial 2x^(3)+ x^(2) ...

    Text Solution

    |

  8. If alpha, beta, gamma be the zeros of the polynomial p(x) such that (...

    Text Solution

    |

  9. The value of k such that the quadratic polynomial x^(2)-(k+6)x+2(2k+1)...

    Text Solution

    |

  10. If alpha and beta are the zeros of the quadratic polynomial f(t)=t^...

    Text Solution

    |

  11. If the polynomials 2x^3+a x^2+3x-5 and x^3+x^2-4x+a leave the same rem...

    Text Solution

    |

  12. One of the factors of (a^(2)-b^(2))(c^(2)-d^(2))-4abcd is

    Text Solution

    |

  13. If one zero of the polynomial f(x)=(k^(2)+4)x^(2)+16x+4k is reciprocal...

    Text Solution

    |

  14. If alpha,\ beta are the zeros of the polynomial f(x)=x^2-p(x+1)-c such...

    Text Solution

    |

  15. If the sum of squares of zeros of the polynomial x^(2)-8x+k is 40, fin...

    Text Solution

    |

  16. The graph of y=x^(3)-4x cuts x-axis at (-2,0), (0,0) and (2,0). The ze...

    Text Solution

    |

  17. The graph of the polynomial p(x) cuts the x-axis at 2 places and touch...

    Text Solution

    |

  18. If the sum of the zeros of the quadratic polynomial f(t)=k t^2+2t+3k i...

    Text Solution

    |

  19. The zeroes of the quadratic polynomial 100x^(2)+50x+99 are

    Text Solution

    |

  20. If alpha, beta, gamma are the zeroes of the polynomial f(x) = 2x^3 + 6...

    Text Solution

    |