Home
Class 10
MATHS
Find 'a' if the two polynomials ax^(3)+3...

Find 'a' if the two polynomials `ax^(3)+3x^(2)-9and2x^(3)+4x+a`, leaves the same remainder when divided by x + 3.

Text Solution

Verified by Experts

The correct Answer is:
a=3
Promotional Banner

Topper's Solved these Questions

  • REMAINDER AND FACTOR THEOREMS

    ICSE|Exercise Exercise 8B|10 Videos

  • REMAINDER AND FACTOR THEOREMS

    ICSE|Exercise Exercise 8C|16 Videos

  • REMAINDER AND FACTOR THEOREMS

    ICSE|Exercise Exercise 8C|16 Videos

  • REFLECTION

    ICSE|Exercise QUESTION|1 Videos

  • REVISION PAPER -1

    ICSE|Exercise SECTION B|25 Videos

Similar Questions

Explore conceptually related problems

If the polynomial ax^(3)+3x^(2)-3 leaves the remainder 6 when divided by x-4, then find the value of a.

If the polynomials 2x^3+a x^2+3x-5 and x^3+x^2-4x+a leave the same remainder when divided by x-2, find the value of adot

If the polynomials a x^3+4x^2+3x-4 and x^3-4x+a leave the same remainder when divided by (x-3), find the value of adot

If the polynomials a x^3+4x^2+3x-4 and x^3-4x+a leave the same remainder when divided by (x-3), find the value of adot

The polynomials 3x^(3)-ax^(2)+5x-13 and (a+1)x^(2)-7x+5 leaves the same remainder when divided by x-3. Find the value of 'a'.

The polynomials 2x^3- 7x^2 + ax -6 and x^3-8x^2 +(2a + 1)x- 16 leave the same remainder when divided by x- 2. Find the value of a

Find the value of 'm'. If mx^3+ 2x^2- 3 and x^2- mx+ 4 leave the same remainder when each is divided by x- 2.

ICSE-REMAINDER AND FACTOR THEOREMS-Exercise 8A
  1. Find, in each case, the remainder when : (i) x^(4)- 3x^2 + 2x + 1 is...

    Text Solution

    |

  2. Show that : (i) x -2 is a factor of 5x^2+ 15x- 50. (ii) 3x + 2 is ...

    Text Solution

    |

  3. Use the Remainder Theorem to find which of the following is a factor o...

    Text Solution

    |

  4. (i) If 2x + 1 is a factor of 2x^2+ ax- 3, find the value of a. (ii) ...

    Text Solution

    |

  5. Find the values of constants a and b when x- 2 and x + 3 both are the ...

    Text Solution

    |

  6. Find the value of k, if 2x +1 is a factor of (3k+2)x^3 + (k-1).

    Text Solution

    |

  7. Find the value of a, if x -2 is a factor of 2x^5- 6x^4 -2ax^3+ 6ax^2+ ...

    Text Solution

    |

  8. Find the values of m and n so that x-1 and x + 2 both are factors of x...

    Text Solution

    |

  9. When x^3+2x^2-kx+4 . is divided by x - 2. the remainder is k. Find the...

    Text Solution

    |

  10. Find the value of a, if the division of ax^3+ 9x^2 +4x -10 by x + 3 le...

    Text Solution

    |

  11. If x^3+ ax^2+ bx + 6 has x -2 as a factor and leaves a remainder 3 whe...

    Text Solution

    |

  12. The expression 2x^3+ ax^2+ bx -2 leaves remainder 7 and 0 when divided...

    Text Solution

    |

  13. What number should be added to 3x^3-5x^2+6x so that when resulting pol...

    Text Solution

    |

  14. What number should be subtracted from x^3 + 3x^2 - 8x + 14 so that on...

    Text Solution

    |

  15. The polynomials 2x^3- 7x^2 + ax -6 and x^3-8x^2 +(2a + 1)x- 16 leave t...

    Text Solution

    |

  16. If x-2 is a factor of the expression 2x^3+ax^2+bx - 14 and when the ex...

    Text Solution

    |

  17. Find 'a' if the two polynomials ax^(3)+3x^(2)-9and2x^(3)+4x+a, leaves ...

    Text Solution

    |