Use the Binomial Theorem to find a polynomial expansion for the following function.

f_{1}(x) = (x - 2)^{4}

A. f_{1}(x) = x^{4} - 5x^{3} + 14x^{2} - 42x + 26

B. f_{1}(x) = x^{4} - 16x^{3} + 18x^{2} - 22x + 18

C. f_{1}(x) = x^{4} - 18x^{3} + 24x^{2} - 28x + 16

D. f_{1}(x) = x^{4} - 8x^{3} + 24x^{2} - 32x + 16

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the answer is D, I guarantee the answer is 100% correct, best me please, thanks

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