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How to write a quartic polynomial functions in standard forms with given zeros?
x = -1, -2, -3, -4
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- icemanLv 710 years agoFavorite Answer
(x + 1)(x + 2)(x + 3)(x + 4)
= (x^2 + 5x)^2 + 10 (x^2 + 5x) + 24
- Anonymous5 years ago
so a ways as i understand any polynom P with roots r1,r2,r3 and r4 may well be written P=(x-r1)(x-r2)(x-r3)(x-r4) With the given roots we get P=(x-a million)(x+a million)(x-isqrt3)(x+isqrt3) P=(x^2-a million)(x^2-(-3)) P=(x^2-a million)(x^2+3) P=x^4+3x^2-x^2-3 P=x^4+2x^2-3. this is my answer.
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