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If alpha and beta are the zeroes of the ...

If `alpha` and `beta` are the zeroes of the quadratic polynomial `2-3x-x^(2)` then what is the value of `alpha+beta+alpha beta`?

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The correct Answer is:
-5
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Knowledge Check

  • If alpha and beta are the zeroes of the polynomial 2x^2 + 5x + 1 , then the value of alpha +beta+ alpha beta is

    A
    -2
    B
    -1
    C
    1
    D
    3

  • If alpha , beta are the roots of the equation : x^(2) + x sqrt(alpha) + beta = 0 , then the values of alpha and beta are :

    A
    `alpha = 2 and beta = - 2 `
    B
    `alpha = 2 and beta = 1 `
    C
    `alpha = 1 and beta = -2`
    D
    `alpha = 1 and beta= - 1 `.

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    If alpha and beta be the two zeroes of the quadratic polynomial p(x) = 2x^(2) - 3x + 7 , evaluate . i] alpha^(3) + beta^(3) ii] (1)/(2 alpha - 3) + (1)/( 2 beta - 3)

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    If alpha and beta are zeros of the quadratic polynomial f(x) = x^(2) - px + q , prove that (alpha^(2))/(beta^(2)) +(beta^(2))/(alpha^(2)) = (p^(4))/(q^(2)) - (4p^(2))/(q) + 2 .

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