If f(x) and g(x) have HCF h(x), then the HCF of [f(x) + k*g(x)] and g(x) (where k is a non-zero scalar) is:

Type: MCQ • Marks: 1

A. h(x)

B. k * h(x)

C. Cannot be determined

D. 1

Explanation

By Euclidean property of common divisors, linear combinations preserve ideals and thus preserve the common divisor HCF.

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