For the following questions, choose the correct answer from the opt...

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For the following questions, choose the correct answer from the options \( (a),(b),(c) \) and (d) defined as follows
(a) Statement I is true, Statement II is also true; Statement II is the correct explanation of Statement I
(b) Statement I is true, Statement II is also true; Statement II is not the correct explanation of Statement I
(c) Statement I is true, Statement II is false
(d) Statement I is false, Statement II is true
Consider the polynomial function
\[
f(x)=\frac{x^{7}}{7}-\frac{x^{6}}{6}+\frac{x^{5}}{5}-\frac{x^{4}}{4}+\frac{x^{3}}{3}-\frac{x^{2}}{2}+x
\]
Statement I The equation \( f(x)=0 \) cannot have two or more roots.
Statement II Rolle's theorem is not applicable for \( y=f(x) \) on any interval \( [a, b] \), where \( a, b \in R \)
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