A monic cubic polynomial P ( x ) satisfying the condition P (1)=1, P (3)=17 and P (5)=49 then the value of P (2), is

Question

A monic cubic polynomial P ( x ) satisfying the condition P (1)=1, P (3)=17 and P (5)=49 then the value of P (2), is (A) 5 (B) 10 (C) 11 (D) 12

Tardigrade Admin · Accepted Answer

P ( x )=( x -1)( x -3)( x -5)+2 x 2-1 P (2)=(2-1)(2-3)(2-5)+8-1=3+7=10

Q. A monic cubic polynomial $P (x)$ satisfying the condition $P (1) = 1, P (3) = 17$ and $P (5) = 49$ then the value of $P (2)$ , is