Prove that ℚ[x]/(x² − 2) is a field as follows:
(a) Show that [x²] = [2].
(b) Compute [ax + b][cx + d], and write the answer in the form [ex + f]. [Hint: Use (a).]
(c) Compute [ax − b][ax + b]. (The result should be the congruence class of a constant polynomial.)
(d) Assume [ax + b][cx + d] = [1] and solve for c and d. [Hint: Multiply both sides by [ax − b] and use (c).]
(e) Prove that ℚ[x]/(x² − 2) is a field. (You may assume that it is a commutative ring with identity.)

f(x)=2/3x+4/3 is the answer because is whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation:

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

120 seems like the most sensible answer.

step-by-step explanation:

if there is only one topping on all caramel apples and there's 120 of them. then all apples should/will be covered in sprinkles. make sense?

the olimpics is not going to wokk out

step-by-step explanation: