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