TS EAMCET 11-Sep-2020 Shift 1 Solved Paper

It is given a polynomial satisfying
p(2x)=p′(x)p′′(x)
Let the degree of polynomial is n, then degree of p′(x) and p′′(x) are n−1 and n−2 respectively, so
n=n−1+n−2⇒n=3
Now, let the polynomial p(x)=ax3
⇒‌‌a=‌

4

9

∴ The required polynomial is p(x)‌

4

9

x3
Therefore =‌

4

9

(‌

5×6

2

)2=100