1. Find irr(a, Q) and deg(a, Q) for the given algebraic number a = √2+ i C. [Hint: Find irr(a, Q) as a monic irreducible polynomial over Q having a as a zero (make sure you prove the irreducibility of the polynomial).]

Q: how do you determine coterminals?

A: They are obtained by adding and subtacting 360 degrees

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

Q: 2 3 3 4 6 8

A: The mean is computed below.   Aptitude score(x) Frequency(f) x*f 0 4 0 1 2 2 2 3 6 3 0 0…

Q: B through f

A: (b) A(7)=∫07f(t)dt=Area under the curve from x =0 to x =7=Area of triangle (from x =0 to x=1)-area…

Q: 1२ '२ 12 factoo

A:

Q: -8 - 12

A: Given problem is

Q: 1-0 1-V

A: The given function for integration is,

Q: then f

A: If f(x) ≤ f(c) for all x ≤ c then f(c) is a global maxima and not relative maxima

Q: Determine the value of

A: we have to determine the value of z to correspondingprobability value is 0.0400

Q: In the

A: In the diagram it is given that, the angles <G and <H are complementary. m<G = 2x + 10…

Q: We expect a car's highway gas mileage to be related to its city gas mileage. Data for all 1198…

A:

Q: this is incorrecta

A: The given functions,f(x)=2x+4g(x)=x-1

Q: What is t

A: Note: After seeing the previous explanation, we observe that the student has some doubts  related…