Latest TCS Aptitude Question SOLUTION: If f(x)=x^4+ax^3+bx^2+cx+d such that f(1)=f(2)=f (3)=f(4), find the value of b. Can anybody tell me the answer with proper explanation?

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(#M40154975) TCS Numerical Ability question TCS 2 DEC Keep an EYE

If f(x)=x^4+ax^3+bx^2+cx+d such that f(1)=f(2)=f
(3)=f(4), find the value of b.
Can anybody tell me the answer with proper
explanation?

Asked In TCS Vandana Rawat (8 years ago)

Unsolved Read Solution (2)

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Read Solution (2) :

sunil amritiya  (8 years ago)

ans b=35

f(1)=1+a+b+c+d
f(2)=16+8a+4b+2c+d
f(3)=81+27a+9b+3c+d
f(4)=256+64a+16b+4c+d

given

f(1)=f(2)=f(3)=f(4)

firstly

f(1)=f(2)
1+a+b+c+d=16+8a+4b+2c+d
7a+3b+c=-15...........................................................equ(1)

then
f(1)=f(3)
we get
13a+4b+c=-40...........................................................equ(2)

then
f(1)=f(4)
we get
21a+5b+c=-85..........................................................equ(3)


solve equ(2)-equ(1)
we get
6a+b=-25......................................equ(4)

solve equ(3)-equ(2)
we get
8a+b=-45......................................equ(5)

solve equ(4) and equ(5) and put the value in other equactions for all the values
we get
a=-10 ,b=35,c=-50


proof

put the value of a ,b,c
we get
f(1)=f(2)=f(3)=f(4)

Is this solution Helpfull? Yes (45) | No (1)  

MANISH KUMAR  (8 years ago)

i ansrwed it can't be determined in exam

Is this solution Helpfull? Yes (2) | No (2)  

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