The two zeroes of a quadriatic Polynomial are -4 and -6 find the sum and producy of zerows what is the value of cofficient b​

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The two zeroes of a quadriatic Polynomial are -4 and -6 find the sum and producy of zerows what is the value of cofficient b​

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Alaia 1 week 2021-09-14T00:48:16+00:00 1 Answer 0 views 0

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    2021-09-14T00:49:26+00:00

    Answer:

    \alpha = -4

    \beta = -6

    \alpha  + \beta = - 4 - 6 = -10

    \alpha \beta = (-4)(-6) = 24

    As we know that the form of the polynomial is

    P(x) = x^{2} - (\alpha + \beta)x  + \alpha \beta

    P(x) = x^{2} - (-10)x  + 24

    P(x) = x^{2} + 10x  + 24                            (equation 1)

    And also the polynomial is of the form

    P(x) = ax^{2} + bx  + c                               (equation 2)

    from equation 1 & 2 we get that

    => coefficient of b is 10

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