Home
Class 9
MATHS
If the polynomials f(x)=ax^(3)+4x^(2)+3x...

If the polynomials `f(x)=ax^(3)+4x^(2)+3x-4 and g(x)=x^(3)-4x+a` leave the same remainder when divided by `x-3.` Find the value of a. Also find the remainder.

Text Solution

Verified by Experts

The correct Answer is:
14
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    SURA PUBLICATION|Exercise UNIT TEST (SECTION C)|4 Videos

  • II TERM SUMMATIVE ASSESSMENT 2018-19

    SURA PUBLICATION|Exercise SUBJECTIVE|28 Videos

Similar Questions

Explore conceptually related problems

If the polynomials 2x ^(3) + ax ^(2) + 3x -5 and x ^(3) + x ^(2) - 4x +a leave the same remainder when divided by x -2, find te value of a.

If two polynomials 2x^(3) + ax^(2) + 4x -12 and x^(3) +x^(2) - 2x + a leave the same remainder when divided by ( x-3) , find the value of a. and also find the remainder.

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.

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

Find the remainder when x ^(3) +1 devided by (x +1)

Find the value of a if 2x^(3) - 6x^(2) + 5ax - 9 leaves the remainder 13 when it is divided by x -2 .

Find the remainder when x^3+4x^2-7x+6 is divided by x-1.

Find the slope at x=2 f(x)=2x^(3)+5x^(2)-4x

If the expression a x^4+b x^3-x^2+2x+3 has remainder 4x+3 when divided by x^2+x-2, find the value of aa n dbdot

SURA PUBLICATION-I TERM SUMMATIVE ASSESSMENT 2018-19-SECTION - I
  1. Prove: In a parallelogram, opposite sides are equal.

    Text Solution

    |

  2. The angles of a quadrilateral are in the ratio 1:2:3:4. Find all the a...

    Text Solution

    |

  3. Plot the following point (-3, 3), (2, 3), (-6, -1) and (5, -1) in the ...

    Text Solution

    |

  4. Find the distance between the points (1, 2) and (4, 3).

    Text Solution

    |

  5. Let P(x) = 4x^(2) - 3x + 2x^(3) + 5 and q(x) = x^(2) + 2x + 4 find p ...

    Text Solution

    |

  6. Show that the following points A(3, 1), B(6, 4)and C(8, 6) lies on a ...

    Text Solution

    |

  7. Out of 500 car owners investigated, 400 owned car A and 200 owned car ...

    Text Solution

    |

  8. If A = {a, b, c, d, e} and B = {a, e, i, o, u} find AB.

    Text Solution

    |

  9. Find whether x and y are rational or irrational in the following: (i...

    Text Solution

    |

  10. Find whether x and y are rational or irrational in the following: (i...

    Text Solution

    |

  11. Represent 4.bar(73) on the number line upto 4 decimal places.

    Text Solution

    |

  12. The length of a rectangle is ( 3x+ 2) units and it's breadth is ( 3x-2...

    Text Solution

    |

  13. If the polynomials f(x)=ax^(3)+4x^(2)+3x-4 and g(x)=x^(3)-4x+a leave t...

    Text Solution

    |

  14. The base of a parallelogram is ( 5x + 4 ) . Find its height, if the ar...

    Text Solution

    |

  15. If the distance between the points (5, -2), (1, a) is 5 units. Find th...

    Text Solution

    |

  16. Find the perimeter of the triangle, whose vertices are (3,2), (7, 2) a...

    Text Solution

    |

  17. Let A={b,d,e,g,h} and B={a,e,c,h} verify that n(A-B)=n(A)-n(AnnB)

    Text Solution

    |

  18. The side of a rhombus is 13 cm and the length of one diagonal is 24 cm...

    Text Solution

    |

  19. Construct the circumcentre of the triangleABC with AB = 5 cm, angleA =...

    Text Solution

    |

  20. Draw and equilateral triangle of side 6.5 cm and locate its orthocentr...

    Text Solution

    |