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Form the polynomial equation whose r...

Form the polynomial equation whose root are
`2 ,1 +- 3i`

Text Solution

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The correct Answer is:
`x^4 -6x^3 +23x^3 -34x+26 =0`
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Knowledge Check

  • The equation whose roots are 2, -3, 5 is

    A
    `x^(3) - 4x^(2) -11x + 30 `= 0
    B
    `x^(2) + 2y^(2) - 11x + 3 = 0 `
    C
    `2x^(3) - 3x^(2) - 21x + 60 = 0 `
    D
    `2x^(3) + 5x^(2) - 21x + 6 = 0 `

  • The equation whose roots are 3+ 2 I , 3- 2i is

    A
    `x^2 -8x+15=0`
    B
    `15 x^2-34+15=0`
    C
    `x^2 -6x +13=0`
    D
    `x^2+1=0`

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    Find the polynomial equation whose roots are 2 pm sqrt3, 1 pm 2i.

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