Question

let p(x)= x² - 1/2 then find p(x) (-x/2)​

Answer 1

Answer:

Given, P(x 2 +1)={P(x 2 )} 2 +1 ...(1)

Given P(0)=0 Put x=0 in (1)

⇒P(1)=P(0) 2+1⇒P(1)=1

Also, put x=1 in (1)⇒P(2)=2

Also, since, P(x) is a polynomial so we have P(x)=x⇒P ′ (x)=1

P ′ (0)=1