TS EAMCET · Maths · Differentiation
If \(p(x)\) be a polynomial satisfying \(p(2 x)=p^{\prime}(x) \cdot p^{\prime \prime}(x)\), then \(\sum_{x=1}^5 p(x)=\)
- A 200
- B 100
- C 50
- D 450
Answer & Solution
Correct Answer
(B) 100
Step-by-step Solution
Detailed explanation
It is given a polynomial satisfying \(p(2 x)=p^{\prime}(x) p^{\prime \prime}(x)\) Let the degree of polynomial is \(n\), then degree of \(p^{\prime}(x)\) and \(p^{\prime \prime}(x)\) are \(n-1\) and \(n-2\) respectively, so \(n=n-1+n-2 \Rightarrow n=3\) Now, let the polynomial…
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