How do I create a quartic polynomial function that opens down, has a positive real triple zero and one negative real zero?

examples please?

thankyou

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- Aug 30th 2008, 03:00 PMfalloutatthediscocreate a polynomial...
How do I create a quartic polynomial function that opens down, has a positive real triple zero and one negative real zero?

examples please?

thankyou - Aug 30th 2008, 04:18 PMTKHunny
Quartic polynomial

y = (x-a)(x-b)(x-c)(x-d)

Opens down

y = -(x-a)(x-b)(x-c)(x-d)

Triple Positive

0 < b = c = d -- Just pick a value > 0 amd use it three times.

Single Negative

a < 0 -- Just pick a value < 0.

a = -1 < 0

b = c = d = 1 > 0

y = -(x+1)(x-1)(x-1)(x-1)