Irreducible polynomials
Mention all the irreducible polynomials in Z 2 [x] of degree less than or equal to 4. Factor f(x)=(x^7)+1 bar as the product of irreducible polynomials in Z 2 [x].
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Compute the greatest common divisors d(x) of the following polynomials f(x),g(x) in the field F[x] and express d(x)=s(x)f(x)+t(x)g(x) for appropriate s(x), t(x) in F[x]: c. f(x)=(x^2)+1, g(x)=(x^2)-i+2, F=C (complex numbers) d. f(x)=(x^2)+2x+2, g
Three hundred students attended dedication cerimony of a new building on a college campus. THe president of the traditionally female college announced a new expansion program, which included plans to make the college coeducational. The number of s
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The Stamper company make two varieties of stapler. Model H is of high quality and they make a profit of $1 per stapler sold with a market size of 2500 per week while Model S is of medium quality and they make a $0.6 per stapler sold with a market
A fair coin is flipped. If the flip results in head, then a marble is chosen from an urn containing 3 red, 7 white, and 4 blue marbles. If the flip results in the tail then a marble is chosen from an urn containing 6 red and 5 white marbles. If m
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