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if p(x)=ax^4 + bx^3 + cx^2 + dx + e has roots at x=1,2,3,4 and p(0)=48, what is p(5)?
(1)48
(2)24
(3)0
(4)50
Read Solution (Total 7)
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- p(x)=(x-1)(x-2)(x-3)(x-4)
e=48 but equation suggest 24
so now equation become
p(x)=2(x-1)(x-2)(x-3)(x-4)
p(5)=2*4*3*2*1
p(5)=48 ans - 12 years agoHelpfull: Yes(25) No(0)
- @DHIRAJ SINGH:
actually roots are given so we can easily get the equation
p(x)=(x-1)(x-2)(x-3)(x-4)
if we put x=0,we get p(0)=24 but in the question it is mention p(0)=48
so equation p(x) should multiply by 2
p(x)=2(x-1)(x-2)(x-3)(x-4)
i think nw u get it - 12 years agoHelpfull: Yes(4) No(0)
- 48 is the answer
- 12 years agoHelpfull: Yes(1) No(1)
- Chintan the reason fo it is the given equation has roots as 1,2,3,4 which makes the equation: p(x)=(x-1)(x-2)(x-3)(x-4).
- 12 years agoHelpfull: Yes(1) No(0)
- can anyone explain how
p(x)=(x-1)(x-2)(x-3)(x-4)
the actual value of p(x)is
p(x)=ax^4 + bx^3 + cx^2 + dx + e - 12 years agoHelpfull: Yes(0) No(1)
- ya okk....
i got tad
thankss - 12 years agoHelpfull: Yes(0) No(0)
- @Piyush :
i got the point e=48 but,
i didn't understand the point 24..
as well i didn't get the p(x)=2(x-1)(x-2)(x-3)(x-4)..
where does 2 come from?
- 12 years agoHelpfull: Yes(0) No(0)
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