Home
Class 10
MATHS
If the polynomial f(x)=ax^3+bx-c is divi...

If the polynomial `f(x)=ax^3+bx-c` is divisible by `g(x)=x^2+bx+c`,then the value of ab is

A

1

B

-1

C

1/c

D

`(-1)/c`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    R G PUBLICATION|Exercise EXAMPLES|16 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    R G PUBLICATION|Exercise EXERCISE|84 Videos
  • PROBABILITY

    R G PUBLICATION|Exercise EXERCISE|91 Videos

Similar Questions

Explore conceptually related problems

If a polynomial f(x) is divided by x-a ,whose quotient is g(x) and remainder r(x).express f(x) in term of others.

If 7-sqrt5 is a zero of the polynomial p(x)= x^3+bx^2+100x+c , then find b and c , where b and c are rational numbers.

If alpha and beta are the zeroes of the polynomial ax^2 + bx+ c , find the values of alpha^2/beta + beta^2/alpha

If alpha and beta are the zeroes of the polynomial ax^2 + bx+ c , find the values of alpha/beta + beta/alpha

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:(i) p(x)=x^3-3x^2+5x-3,g(x)=x^2-2

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:(iii) p(x)=x^4-5x+6,g(x)=2-x^2

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:(ii) p(x)=x^4-3x^2+4x+5,g(x)=x^2+1-x

If zeros of the polynomial x^2-bx+c be reciprocal to each other then b equals to

If the zeros of polynomial x^2+bx-c are equal and opposite then b equals to

If alpha and beta are the zeros of the polynomial ax^2+bx+c . Find the value of alpha^3 + beta^3

R G PUBLICATION-POLYNOMIALS-EXAMPLES
  1. If the polynomial f(x)=ax^3+bx-c is divisible by g(x)=x^2+bx+c,then th...

    Text Solution

    |

  2. Find the zeroes of the quadratic polynomial x^2+7x+12 and verify the r...

    Text Solution

    |

  3. Find the zeroes of the quadratic polynomial p(x)=2x^2+5x-12 and verify...

    Text Solution

    |

  4. Find the zeroes of the quadratic polynomial p(x)=4sqrt3x^2+5x-2sqrt3 a...

    Text Solution

    |

  5. Find the zeroes of the quadratic polynomial p(x)=abx^2+(b^2-ac)x-bc an...

    Text Solution

    |

  6. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  7. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  8. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  9. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+c then ...

    Text Solution

    |

  10. If alpha and beta are the zeroes of the polynomial p(x)=ax^2+bx+c then...

    Text Solution

    |

  11. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  12. If alpha and betaare the zeroes of the polynomial p(x)=ax^2+bx+cthen f...

    Text Solution

    |

  13. If alpha and beta are the zeroes of the quadratic polynomial p(x)=kx^2...

    Text Solution

    |

  14. If the sum of squares of zeroes of the quadratic polynomial p(x)=x^2-8...

    Text Solution

    |

  15. Find the condition that the zeroes of the polynomial f(x)=x^3-px^2+qx-...

    Text Solution

    |

  16. Find the zeroes of the polynomial p(x)=x^3-5x^2-2x+24 if it is given t...

    Text Solution

    |

  17. Find the values of a and b such that the polynomial x^4+x^3+8x^2+ax+b ...

    Text Solution

    |