Question

Asked Nov 2, 2019

*I am asking this question again, because the last response I was given just gave that the the other polynomial was 2x+3, and provided no explanation as to how that was arrived at. *

Show that 4x^{2}+6x+3 is a unit in Z_{8}[x].

All that I know that I have to do is find a polynomial such that

(4x^{2}+6x+3)(polynomial)=1, but I'm not sure the steps in general to follow. I think after multiplying the two polynomials the coefficients will have to turn out to be 0 mod 8 and the constant term will have to be 1 mod 8. How do I approach any problem of this type? I have no examples to go by, and I need to know the thinking process that is needed to solve these types of problems. Thanks!

Step 1

To invert the given polynomial in t...

Tagged in

Q: 18 4 (a22) Find the volume of the solid enclosed by the paraboloids z 4 (x y and z=

A: Given

Q: In Exercises 1-14 find a particular solution. y" - 3y2y e3*(1 + x) 1. _

A: Click to see the answer

Q: Use polar coordinates to find the volume of the given solid. Bounded by the paraboloids z = 8x2 + 8...

A: Click to see the answer

Q: 58

A: To prove: NM is a normal subgroup of G.

Q: 18

A: To determine the order of the given quotient group

Q: 10.7

A: According to the given information there are 10 different species of plants and can wants to plant 4...

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density ...

A: According to the given information the region D and the density function is given by:

Q: Help

A: The given system of differential equations are,

Q: Solve the following system of linear equations: Which one of the following statements best describ...

A: Consider the given system of linear equations.