Question

If f(x) is a polynomial of degree four with leading coefficient one satisfying `f(1)=1, f(2)=2,f(3)=3`.then `[(f(-1)+f(5))/(f(0)+f(4))]`
A. `4`
B. `5`
C. `6`
D. `7`

Answer 1

Correct Answer - B
`(b)` According to question
`f(x)-x=(x-1)(x-2)(x-3)(x-alpha)`
`implies f(-1)=24(1+alpha)-1`
`f(0)=6alpha`
`f(4)=6(4-alpha)+4`
`f(5)=24(5-alpha)+5`
`implies[(f(-1)+f(5))/(f(0)+f(4))]=[(148)/(28)]=5`