a. Show that the field Q(v2, V3) = {a + bv2 + cv3 + dvZV3: a, b, c, d E Q} is a finite extension of Q. Find its degree. b. In Z6[x], let f = 2 +x + 4x2 + 3x³ and g = 4 + 3x + 5x2 + 3x³. Compute f + g and f.g and their degrees.

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A:

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.