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If alpha, beta, gamma are the zeroes of ...

If `alpha, beta, gamma` are the zeroes of the cubic polynomial `ax^(3) + bx^(2) + cx +d` and `(a != 0)` , then `alpha beta gamma` = ……….

A

`d/a`

B

`- d/a`

C

`-b/a`

D

`c/a`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Match of the following : If alpha, beta , gamma are zeroes of a cubic polynomial ax^(3) + bx^(2) + cx + d , (a != 0) , then ………. {:((i) alpha+beta +gamma, (a) -d/a),((ii) alphabeta +betagamma+gamma alpha, (b) c/a),((iii) alphabeta gamma, (c) -b/a):}

    A
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    B
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    C
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    D
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  • If alpha, beta, gamma are the zeros of the polynomial f(x) = ax^(3) + bx^(2) + cx + d then (alpha)^2 + (beta)^2 + (gamma)^2 = ………….

    A
    `(b^(2) + 4ac)/(2)`
    B
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    D
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  • If alpha, beta, gamma are the zeros of the polynomial f(x) = ax^(3) + bx^(2) + cx + d then 1/(alpha) + 1/(beta) + 1/(gamma) = ………….

    A
    `1/d`
    B
    `1/c`
    C
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    D
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