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Please answer the following:
Let f(x) = x^p - alpha E F [x] be irreducible, and let alpha be a root of f in an extension field. Show that if F (alpha)/F is a Galois extension, then g(x) = x^p - 1 splits in the field F.
Find composition of two equation
Simplify the equations.
Solve the system of linear equations, using the Gauss-Jordan elimination method. Management Decisions. The Management of Hartman Rent-A-Car has allocated $1,008,000 to purchase 60 new automobiles to add to their existing fleet of rental cars.
Three different quadratic functions.
Find the x- and y-intercept of the linear equation 4x + 3y = 12. Write each intercept as an ordered pair. In the Cartesian or Rectangular coordinate system,
Using foil method to simplify algebraic expression.
Quadratic Functions and Factoring.
Can we use the quadratic equation to solve all equations? When should we apply its method? Why would we apply the quadratic in one area and factoring in another?
Find the solution for x
Multiply and solve the expression
Cramer's Rule to calculate the linear equations.
Evaluate the division of two functions.
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