If the highest common factor (H.C.F.) of the polynomials 2x^2 - 8 and 4x^2 - 16 is k, what is the va

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Basic Operations & Factorization

Linear Equations

Quadratic Equations

A. 2(x - 2)

B. 4(x - 2)

C. 2

D. 4

E. None of the above

Answer: B. 4(x - 2)

Factoring both polynomials gives 2(x^2 - 4) = 2(x - 2)(x + 2) and 4(x^2 - 4) = 4(x - 2)(x + 2), so the H.C.F. is 4(x - 2).

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