Question

P+1\p+2=1,then(p+2)3+1/(p+2)3 is?


A)15

B)16

C)18

D)None

Answer 1

Answer:

Correct option is

B

16

Step-by-step explanation:

Given P(1)=1,P(2)=2,P(3)=3,P(4)=5

Let f(x)=(P(x)−x)

f(1)=P(1)−1=1−1=0

f(2)=P(2)−2=2−2=0

f(3)=P(3)−3=3−3=0

∴f(x)=0,x=1,2,3

⇒f(x)=a(x−1)(x−2)(x−3)

P(x)=a(x−1)(x−2)(x−3)+x

Put x=4

5=a(3)(2)(1)+4

⇒a=  

6

1

​

 

∴P(x)=  

6

1

​

(x−1)(x−2)(x−3)+x

Step-by-step explanation: