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30 June, 16:39

Which of the following quartic functions has x=-1 and x=-2 as its only two real zeros

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  1. 30 June, 17:01
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    Quartic is 4th degree

    the factors of an equation with roots r1, r2 is

    (x-r1) (x-r2)

    4th degree

    it could be

    (x-r1) ¹ (x-r2) ³ or

    (x-r1) ² (x-r2) ² or

    (x-r1) ³ (x-r2) ¹

    roots or zeroes at x=-1 and x=-2

    (x - (-1)) and (x - (-2))

    (x+1) and (x+2)

    the function could be factored into

    (x+1) ¹ (x+2) ³ or

    (x+1) ² (x+2) ² or

    (x+1) ³ (x+2) ¹

    expanded would be

    x⁴+7x³+18x²+20x+9 or

    x⁴+6x³+13x²+12x+4 or

    x⁴+5x³+9x²+7x+2

    one of those is the answer
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