The function f is defined as f(x) = 2 2x 20(2 x ) + 64, x.

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The function f is defined as f(x) = 22x − 20(2x) + 64, x ∈ ℝ.

a. Write f(x) in the form (2x − a)(2x − b), where a and b are real constants.

b. Hence find the two roots of f(x).

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