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If x^3+3x^2-9x+c is the form (x-alpha)^2...

If `x^3+3x^2-9x+c` is the form `(x-alpha)^2(x - beta)`, then the positive value of c is .........

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Knowledge Check

  • If 2x + 3 is a factor of 2x^(3) - x - b + 9x^(2) then the value of b is ……………

    A
    3
    B
    7
    C
    10
    D
    15

  • If the roots of x^(4) - 6x^(3) +13x^2-12x + 4 = 0 are alpha, alpha , beta , beta then the value of alpha, beta are

    A
    2, 1
    B
    `-2, -1`
    C
    `3, 1`
    D
    `-3,` -1

  • alpha and beta are the roots of x^2 2x +C =0 . If aplha^3 + beta^3 =4, then the value of C is

    A
    -2
    B
    3
    C
    2
    D
    4

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    If the roots of the equation (p-3) x^(2) + 2(p -3) x + 2p-5 =0 are real number distinct for alpha lt p lt beta and (beta - alpha) is maximum, then the extreme value of the quadratic expression -(alpha + beta) x^(2) + alpha beta x+ (alpha -beta) is

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