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

If `alpha`, `beta` are zeroes of the polynomials `2x^2+7x+5`, find the value of `alpha+beta+alpha beta`?

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Knowledge Check

  • If alpha and beta are zeroes of the polynomial p(x) = x^(2) - 5x +6 , then the value of alpha + beta - 3 alpha beta is

    A
    `-13`
    B
    `6`
    C
    `13`
    D
    `-5`

  • If alpha, beta are the zeroes of the polynomial x^(2) - x - 6 then alpha^(2)beta^(2) = …………

    A
    36
    B
    6
    C
    -6
    D
    -36

  • If alpha and beta are the zeros of the polynomial p(x) = 2x^(2) + 5x + k satishfying the relation alpha^(2) + beta^(2) + alpha beta = 21/4 then k = …………

    A
    1
    B
    `2/7`
    C
    2
    D
    `3/2`

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    If alpha, beta are the zeroes of the polynomial f(x)= x^2+x+1 , then (alpha+1)(beta+1) =

    If alpha,beta are the roots of 32x^2+3x-7=0 then find the value of (alpha^2+beta^2)/(alpha beta) .

    If alpha, beta are the roots of 1 + x + x^(2)= 0, then the value of alpha^(4) + beta^(4) + alpha^(-4)beta^(-4) is

    If alpha, beta are the zeros of the polynomial f(x) = ax^(2) + bx + c then 1/(alpha^2) + 1/(beta^2) = …………….

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