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30 September, 13:07

1. enter a quadratic polynomial which has zeros at 11 and 3

2. enter a quadratic polynomial which has zeros at - 2 and 6

3. enter a quadratic polynomial which has a double root at - 6

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  1. 30 September, 14:29
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    1) y = (x-11) (x-3)

    2) y = (x+2) (x-6)

    3) y = (x+6) ^2 = (x+6) (x+6)
  2. 30 September, 15:55
    0
    An equation with zeroes at r1 and r2 factors to (x-r1) (x-r2)

    double root at r1 just means (x-r1) ^2

    1. f (x) = (x-11) (x-3)

    2. f (x) = (x - (-2)) (x-6) or f (x) = (x+2) (x-6)

    3. f (x) = (x - (-6)) ^2 or f (x) = (x+6) ^2

    if yo wanted expanded form

    1. f (x) = x²-14x+33

    2. f (x) = x²-4x-12

    3. f (x) = x²+12x+36
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