Question: show g ( x ) = 1 0 x 7 2 8 x 6 3 1 5 x 5 + 1 4 0 0 x

show
g(x)=10x728x6315x5+1400x4+280x310080x2+11563x 2125
has exactly 2 zeros on the interval [0,3
2]. You may assume
g(x)=(x +4)(x +1)(x 2)2(x 3)

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