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gmany
[tex]f(x)=2x^4-4x^3-11x^2+3x-6\\\\f(-2)=2\cdot(-2)^4-4\cdot(-2)^3-11\cdot(-2)^2+3\cdot(-2)-6\\\\f(-2)=2\cdot16-4\cdot(-8)-11\cdot4+3\cdot(-2)-6\\\\f(-2)=32+32-44-6-6=8[/tex]

The answer to the given solution is 8.

Given that,

  • The equation is [tex]f(x) = 2x^4 - 4x^3-11x^2+3x-6[/tex].
  • The x = -2.

Based on the above information, the calculation is as follows:

[tex]f(x) = 2x^4 - 4x^3-11x^2+3x-6\\\\= 2(-2)^4 - 4(-2)^3-11(-2)^2+3(-2)-6\\\\= 2\times 16 - 4\times -8 - 11\times 4+ 3 \times -2 - 6\\\\[/tex]

= 32 + 32 - 44  - 6 - 6

= 8

Therefore we can conclude that the answer is 8

Learn more: brainly.com/question/17429689

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