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Question

For what value of a the polynomial 2x4+ax3+4x2+2x+1 is divisible by 12x?
  1. a=23
  2. a=25
  3. a=22
  4. a=24

A
a=24
B
a=22
C
a=25
D
a=23
Solution
Verified by Toppr

If (12x) is a factor of the polynomial 2x4+ax3+4x2+2x+1,
Then, (12x) must be the zero of the polynomial.

Putting x=12 in the polynomial we get,

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