Find a quadratic polynomial whose sum and product of zeroes are -2 root 3 – 9 respectively.

Find a quadratic polynomial whose sum and product of zeroes are -2 root 3 – 9 respectively.

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  1. Answer: x^2 2 x 39

    step by step explanation:

    The sum of zeroes is 2

    The product of zeroes is 39

    alpha + beta = – 2

    alpha beta = 3 – 9

    The general quadratic equation is

    x ^{2} + (alpha + beta) x – alpha beta

    hence; the quadratic polynomial is

    x^2 2x 39

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