find a quadratic polynomial whose sum and product of zeroes are 6 and 9 respectively​

Question

find a quadratic polynomial whose sum and product of zeroes are 6 and 9 respectively​

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Quinn 4 weeks 2021-10-29T18:35:14+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-29T18:36:30+00:00

    Given that,

    Sum of the zeroes : α + ß 6

    Product of the zeroes : αß = 9

    Form of quadratic polynomial is

    x² (α + ß)x + αß = 0

    x² (6)x + 9 = 0

    x² 6x + 9 = 0

    Hence the quadratic polynomial is x² – 6x + 9 = 0

    Step-by-step explanation:

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    0
    2021-10-29T18:36:54+00:00

    Sum of the zeroes : a + B 6

    Product of the zeroes : aß = 9

    Form of quadratic polynomial is

    x² – (a + B)x + aß = 0

    x² – (6x + 9 = 0

    x2 – 6x + 9 = 0

    : Hence the quadratic polynomial is x? –

    6x + 9 = 0

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