Home
Class 11
MATHS
When the polynomial 5x^3+M x+N is divide...

When the polynomial `5x^3+M x+N` is divided by `x^2+x+1,` the remainder is 0. Then find the value of `M+Ndot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos
  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

When the polynomial 2x^(3)-kx^(2)+(5k-3)x-8 is divided by x-2 the remainder is 14. Find the value of 'k'.

When the polynomial x^(3)+2x^(2)-5ax-7 is divided by (x - 1), the remainder is A and when the polynomial. x^3+ax^2-12x+16 is divided by (x + 2), the remainder is B. Find the value of 'a' if 2A + B = 0.

When x^(3)+3x^(2)-mx+4 is divided by x -2, the remainder is m + 3. Find the value of m.

When a polynomial P (x) is divided by x,(x-2)and (x-3), remainders are 1,3 and 2 respectively. If the same polynomial is divided by x(x-2)(x-3), the remainder is g(x), then the value of g(1) is

When 2x^(3) + 5x^(2)- 2x + 8 is divided by (x-a) the remainder is 2a^(3) + 5a^(2) . Find the value of a.

The polynomials a x^3+3x^2-13 and 2x^3-5x+a are divided by x+2, if the remainder in each case is the same, find the value of adot

The polynomials a x^3+3x^2-13 and 2x^3-5x+a are divided by x+2, if the remainder in each case is the same, find the value of adot

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Find the complex number omega satisfying the equation z^3=8i and lyi...

    Text Solution

    |

  2. If the expression [m x-1+(1//x)] is non-negative for all positive real...

    Text Solution

    |

  3. When the polynomial 5x^3+M x+N is divided by x^2+x+1, the remainder is...

    Text Solution

    |

  4. x1 and x2 are the roots of a x^2+b x+c=0 and x1x2<0. Roots of x1(x-x2)...

    Text Solution

    |

  5. ifomegaa n domega^2 are the nonreal cube roots of unity and [1//(a+ome...

    Text Solution

    |

  6. If a ,b ,c ,d are four consecutive terms of an increasing A.P., then t...

    Text Solution

    |

  7. Find the relation if z1, z2, z3, z4 are the affixes of the vertices of...

    Text Solution

    |

  8. Let a and b are the roots of the equation x^2-10 xc -11d =0 and those...

    Text Solution

    |

  9. If z1, z2, z3 are three nonzero complex numbers such that z3=(1-lambda...

    Text Solution

    |

  10. Fill in the blanks The coefficient of x^(99) in the polynomial (x-1)...

    Text Solution

    |

  11. Let z1, z2, z3 be three complex numbers and a ,b ,c be real numbers no...

    Text Solution

    |

  12. Fill in the blanks If 2+isqrt(3) is a root of the equation x^2+p x+q=0...

    Text Solution

    |

  13. Prove that the triangle formed by the points 1,(1+i)/(sqrt(2)),a n di ...

    Text Solution

    |

  14. Fill in the blanks. If the product of the roots of the equation x^2-3k...

    Text Solution

    |

  15. Solve for z : z^2-(3-2i)z=(5i-5)dot

    Text Solution

    |

  16. If the equations x^2+ax+b=0 and x^2+bx+a=0 have one common root. Then ...

    Text Solution

    |

  17. Find all possible values of sqrt(i)+sqrt(-i)dot.

    Text Solution

    |

  18. Fill in the blanksIfx<0,y<0,x+y+(x//y)=(1//2)a n d (x+y)(x//y)=-(1//2...

    Text Solution

    |

  19. Find the square roots of the following: (i) 7-24 i

    Text Solution

    |

  20. True or false The equation2x^2+3x+1=0 has an irrational root.

    Text Solution

    |