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Why is 3 a non-unit in Z[x]

Suppose that 3 is a unit. Then 3 * p(x) = 1 for some p(x) in Z[x]. By comparing degrees, deg (3 p(x)) = deg 3 + deg p(x) = deg 1 ==> 0 + deg p(x) = 0 ==> deg p(x) = 0. However, that would imply th

Math help please! if your smart in math i need you!

line EA=1.8triangle MIJKLline LM=y line AB=4.2line MI=7 line CB=zline IJ=6 line DC=xline JK=5 line DE=3.2line KL=W So we are working with proportions and i need to find the scale factor of MIJKL to AB

How to integrate(anti-differentiate) 1/(x(2x-1)^1/2)

the question is in fraction. 2x-1 is under square root. Thanks.-integral 1/(x sqrt(-1+2 x)) dx For the integrand 1/(x sqrt(2 x-1)), substitute u = 2 x-1 anddu = 2 dx:=integral 1/(sqrt(u) (u+1)) du For

NEED HELP WITH MATH HOMEWORK!!! PLEASE HELP *10 POINTS FOR BEST ANSWER!!!*

Hi, I need help with my math hw. I need to know this for a test so can you show your work and show how you solved it? thanks :DDDD 4.Two ranchers hire a pasture together for $7.The first rancher put

Can you help with my statistics question

Hi, the question is: A gambler plays roulette, and makes a $1 bet on a pair of numbers 4000 times. The bet pays 17 to 1, and it covers two numbers. (*note, there are 38 spaces on a roulette wheel) Fi

Evalute the given definite integral

Please show workings so i can see where I may be going wrong. limits (3,SQRT 5)2z x 4th root of z^4+8z^2+16 dz-put x=z^2dx=2zdzlimits(9,5) limits (9,5) 4th root of (x+4)^2 dx put x=z^2dx=2zdzlimits(

I'm having trouble with critcal z value (statistics, testing hypotheses)

The problem is as follows: Identify null hypothesis, alternative hypothesis, test statistic, critical value(s) and then make a conclusion about the null hypothesis, and a final conclusion about the o

Maths gcse questions urgent help

1. y is directly proportion to x. When x = 500, y =10 Find a formula for y in terms of x. would the formula be y=kx? 2. v = sqrt of a/b a = 6.43 correct to 2 decimal places. b = 5.514 correct to

I need help please alg. 2

in not sure how to do this -8 ---------3 this is what i got but im not sure -8 --------3 but that dont make sense im so confussed please help-Im not sure if you are solving for x, but if you arent,

Can you help me with this logarithm? (alg2)

2logx-log2x= 0.301 and log(base of 3)√(2x-1) = 3-Question 1) ... 2log(x) - log(2x) = 0.301 or log(x^2) - log(2x) = log( 10^0.301 ) or x^2 /(2x) = 10^0.301 or x = 2*10^0.301 or x ~ 4 Question 2) .

Permutations in math...

Find the number of permutations in the word arithmetic. Find the number of permutations in the word circus. I got these wrong on a homework assignment and I dont know why because Im pretty sure I got

Algebra 2 Conics help

x^2+4y^2+10x-8y+13=0-Need standard form of the conic Write standard form of ellipse given: Vertices(-5,4) and (9,4) and focus (-4,4) Identify the center of the hyperbola: (y-5)^2 over 9 - (x+2)^2 over

Two dice are rolled. Find the probability of getting a 5 on either die or the sum of both dice is 5.

Two dice are rolled. Find the probability of getting a 5 on either die or the sum of both dice is 5.-N(S)= Total possibility = 36 N(E) = possibility = (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (1,5),

A series is given with one number missing.Choose the correct option that will complete the series

1)45.5 2)39.5 3)30.5 4)40.5-eventhough there is no question but i guess answer 4)40.5 just for fun-What is the series? Were given answers but no question!

How can I figure out this geometry problem

The vertices of a quadrilateral are J(–4, 0), K(–2, 5), L(1, 1), M(–2, –2). Print out the figure of the pre-image shown below and graph the translation naming the image, J’K’L’M’. What are the coordin
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