Latest TCS Aptitude Question SOLUTION: If p(x)=a(x^4)+b(x^3)+c(x^2)+dx+e has roots at x=1,2,3 and 4, and P(0)=48, what is P(5)? a)48 b)24 c)0 d)50

• Placement Papers
• /
• TCS

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40010730) TCS question Keep an EYE

If p(x)=a(x^4)+b(x^3)+c(x^2)+dx+e has roots at x=1,2,3 and 4, and P(0)=48, what is P(5)?
a)48
b)24
c)0
d)50

Asked In TCS krishnaprasad TATA (11 years ago)

Unsolved Read Solution (2)

Is this Puzzle helpful?   (13)   (1) Submit Your Solution

Read Solution (2) :

Garima  (11 years ago)

48

if 1 is a root then x-1 is a factor of p(x)
similarly x-2 is a factor,x-3 ,x-4 are factors

but p(x) is 4th degree polynomial therefore it can be in the form

p(x) = k(x-1)(x-2)(x-3)(x-4) , where k is a constant

but given p(0) =48

therefore 24 k =48

k=2

p(x) =2(x-1)(x-2)(x-3)(x-4)

p(5)= 2*4*3*2*1 = 48

Is this solution Helpfull? Yes (24) | No (6)  

jomon v j  (11 years ago)

this question already solved by me as q.no = #M40010640. you are just copying it without changing a small word .

Is this solution Helpfull? Yes (6) | No (4)  

Please Login to Read Solution.