SSC CGL Tier II 12 Jan 2017 Paper 1

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Question : 71 of 100

Marks: +1, -0

If

x = 11

, the value of

x ^5 – 12x^ 4

+ 12 x ^ { 3 } - 12 x ^ { 2 } + 12 x - 1

is

11
10
12
–10

Solution:

(2)

x ^ { 5 } - 12 x ^ { 4 } + 12 x ^ { 3 } - 12 x ^ { 2 } +

12 x - 1

= x ^ { 5 } - ( 11 + 1 ) x ^ { 4 } + ( 11 + 1 ) x ^ { 3 } -

( 11 + 1 ) x ^ { 2 } + ( 11 + 1 ) x - 1

= x ^ { 5 } - 11 x ^ { 4 } - x ^ { 4 } + 11 x ^ { 3 } + x ^ { 3 } -

11x ^ { 2 } - x ^ { 2 } + 11 x + x - 1

= x - 1 = 11 - 1 = 10 [ ∵ x = 11 ]

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