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Answer variants:
not exactly divisible
exactly divisible
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Without actual division, prove that f(x) = 2x^4 - 6x^3 + 3x^2 + 3x - 2 is exactly divisible by x^2 - 3x + 2.
Answer:
f(x) = 2x^4 - 6x^3 + 3x^2 + 3x - 2
g(x) =
Simplifying g(x), we get:
g(x) =
f(1) =
f(2) =
Since , then f(x) is by g(x).