Consider the polynomial. \( f(x)=1+2 x+3 x^{2}+4 x^{3} \) P W Let \...

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Consider the polynomial. \( f(x)=1+2 x+3 x^{2}+4 x^{3} \)
P
W
Let \( s \) be the sum of all distinct real roots of \( \mathrm{f}(\mathrm{x}) \). Then \( \mathrm{s} \) lies in the interval.
(1) \( (-1 / 4,0) \)
(2) \( (-11,-3 / 4) \)
(3) \( (-3 / 4,-1 / 2) \)
(4) \( (0,1 / 4) \)
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