Let f (x) = 5x2 + 2x + 1, g(x) = 5x2 + 7x + 3 b e elements of the p olynomialring Z9[x]. Find f (x) + g(x) and f (x)g(x) in Z9[x].
Question
Solution 1
To find f(x) + g(x) and f(x)g(x) in Z9[x], we first need to define the functions f(x) and g(x).
f(x) = 5x^2 + 2x + 1 g(x) = 5x^2 + 7x + 3
To find f(x) + g(x), we simply add the corresponding terms of f(x) and g(x):
f(x) + g(x) = (5x^2 + 5x^2) + (2x + 7x) + (1 + 3) = 10x^2 + 9x + 4
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