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If x = 1 is one root of the equation x...

If x = 1 is one root of the equation
`x^(3) - 6x^(2) + 11x -6 = 0,` find the other roots.

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The correct Answer is:
1,2,3
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Knowledge Check

  • If 2+i is a root of the equation x^(3)-5x^(2)+9x-5=0 , then the other roots are

    A
    `1" and "2-i`
    B
    `-1" and "3+i`
    C
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    D
    `-1 " and "i-2`

  • If (1+i) is a root of the equation x^(2)-x+(1-i)=0 , then the other root is

    A
    `1-i`
    B
    `i`
    C
    `-i`
    D
    `2i`

  • If alpha is one root of the equation 4x^(2)+2x-1=0 , then the other root is

    A
    `4alpha^(3)+3 alpha`
    B
    `4alpha^(3)-3 alpha`
    C
    `alpha^(3)+3 alpha`
    D
    `alpha^(3)-3 alpha`

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    If x=9 is one root of the quadratic equation x^(2)-11x+k=0 , then find the value of k.

    It is known that the roots of the equation x^(3) − 6x^(2) − 4x + 24 = 0 are in arithmetic progression. Find its roots.

    If x=-2 is one root of x^(3)-x^(2)-17x=22 , then find the other roots of equation.

    Find the roots of the equation x+(1)/(x)=3, x ne 0

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