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29 Jan 2019, 09:13
1
8
00:00

Difficulty:

75% (hard)

Question Stats:

49% (03:00) correct 51% (02:29) wrong based on 41 sessions

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If $$P(x)$$ be a polynomial satisfying the identity $$P(x^{2}) +2x^{2} +10x = 2x\ P( x+1) +3$$, then $$P(x)$$ is
A) $$2x+3$$
B) $$3x-4$$
C) $$3x+2$$
D) $$2x–3$$
E) $$3x–3$$

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26 Feb 2019, 04:17
P(x^2)+2x^2+10x=2x P(x+1)+3
=> P(x^2)+2x^2+10x-2xP(x+1)-3=0
the above expression carries only one constant "-3" , all the other terms are variables except the constant in the term "P(x^2)"
in order for the above expression to be zero the constant must be "+3"
which is only given in option 2x+3
OPTION A