SHOW THAT U IS TYPE ITS MINIMAL THE FORM cao, a₁ A ₂₁. ALGEBRAIC OVER Q AND POLYNOMIAL BELOW IN An...) WHERE ai is THE COEFFICIENT OF X. NOTE THAT Q" = 1 SINGE THE MINIMAL POLYNOMIAL MUST BE MONIC 4 = √2+√5

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Q: 1. Find irr(a, Q) and deg(a, Q) for the given algebraic number a = √2+ i C. [Hint: Find irr(a, Q) as…

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Q: The roots d lineor, homogene a gruen 3, ane as a) frndd the gene 6) Aind the cher

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Q: 6. What is the maximum number of turning points that the polynomial function f(x)=- 5x°+9x*+3x³ -…

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Q: Show that u = √3+ √2i is algebraic over Q and type its minimal polynomial p(x) = irr(u, Q) below.

A: This question is about group theory.

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Q: Show that u = √3+ √2i is algebraic over Q and type its minimal polynomial p(x) = irr(u, Q) below

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Q: (d) Use Lagrange Interpolation to find an interpolating polynomial of the form axt + bæ³ + ca? + dx…

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Q: 1 0 1 ~EHEMMEHO V 4 2 0 Let v = 1 0 4 O C.S O d. {v, - and S= { v₁ O a. (v. v₂} 1 2 9 O b. {V₁, V 3…

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Q: Let consider given points: (0, 1), (2,3), (3,0). (a) Use Lagrange interpolation to find a polynomial…

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Q: Qu6. Consider the polynomial below in which we have a parameter z. Q(x)=x³+(2-5)x² + (2+1)x+…

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