Home
Class 11
MATHS
If f(x)=x^3-3x^2+2x+a is divisible by x-...

If `f(x)=x^3-3x^2+2x+a` is divisible by `x-1,` then find the remainder when `f(x)` is divided by `x-2.`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

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

Find the remainder when 2x^2+7x^2-x+8 is divided by x-1.

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

If f(x)=x^3-x^2+a x+b is divisible by x^2-x , then find the value of f(2)dot

If f(x) = g(x)^3+xh(x)^3 is divisible by x^2+x+1 , then

Find the remainder when x^3 + 3x^2 + 3x + 1 is divided by x-1/2

Find the remainder if f(x)=x^(3)+4x^(2)+4x-3 is divided by x.

Find the remainder when x^3 + 3x^2 + 3x + 1 is divided by x+1

If x^4 + 5x^3 + 4x^2 + 8x + 24 is divided by (x + 2), then find the remainder.

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. z=x+iy and w=(1-iz)/(1+iz) and |w|=1 ,prove that z is purely real

    Text Solution

    |

  2. If the equation z^4+a1z^3+a2z^2+a3z+a4=0 where a1,a2,a3,a4 are real co...

    Text Solution

    |

  3. If f(x)=x^3-3x^2+2x+a is divisible by x-1, then find the remainder whe...

    Text Solution

    |

  4. If z1a n dz2 are two complex numbers and c >0 , then prove that |z1+z2...

    Text Solution

    |

  5. Suppose A is a complex number and n in N , such that A^n=(A+1)^n=1, t...

    Text Solution

    |

  6. Find the value of p for which x+1 is a factor of x^4+(p-3)x^3-(3p-5)x^...

    Text Solution

    |

  7. If z1, z2, z3 be the affixes of the vertices A, B and C of a triangle...

    Text Solution

    |

  8. The number of complex numbers z such that |z|=1 and |z/ barz + barz/z...

    Text Solution

    |

  9. Given that x^2-3x+1=0, then the value of the expression y=x^9+x^7+x^(-...

    Text Solution

    |

  10. If i z^4+1=0, then prove that z can take the value cospi//8+isinpi//...

    Text Solution

    |

  11. Find the value of x such that ((x+alpha)^n-(x+beta)^n)/(alpha-beta)=(s...

    Text Solution

    |

  12. Suppose a ,b ,c in I such that the greatest common divisor for x^2+a ...

    Text Solution

    |

  13. Find the value of following expression: [(1-cospi/(10)+isinpi/(10))/(1...

    Text Solution

    |

  14. Dividing f(z) by z- i, we obtain the remainder i and dividing it by z...

    Text Solution

    |

  15. If the roots of the cubic equation, x^3+a x^2+b x+c=0 are three consec...

    Text Solution

    |

  16. If z1, z2 in C ,z1^2+z2^2 in R ,z1(z1^2-3z2^2)=2 and z2(3z1^2-z2^2)...

    Text Solution

    |

  17. If cosalpha+cosbeta+cosgamma=0 a n d a l so sinalpha+sinbeta+singamm...

    Text Solution

    |

  18. If x+y+z=12 andx^2+y^2+z^2=96 and 1/x+1/y+1/z=36 , then find the valu...

    Text Solution

    |

  19. Prove that (1+i)^n+(1-i)^n=2^((n+2)/2).cos((npi)/4), where n is a pos...

    Text Solution

    |

  20. The set {R e((2i z)/(1-z^2)): z is a complex number , |z|=1,z=+-1} is...

    Text Solution

    |