Question

Let g (x) is a polynomial of degree 8 satisfying g(r) =1/r ,r=1,2,3,4,5…9.g(10) =?

Answer 1

f(x)=1x for x=1,2,3,4,5 ⇒xf(x)-1=0 for x=1,2,3,4,5 g(x)=xf(x)-1=k(x-1)(x-2)(x-3)(x-4) (x-5) (∵f(x) is a 4 degree polynomial)

Answer 2

Answer:

$\huge \mathscr \pink \star \underline{answer} \red \star$

the above answer is correct