Division Definition and 469 Threads

Very Interesting Question on Division of Polynomials! [b]1. Question: 'When a polynomial f(x)= x^4 - 6x^3 + 16x^2 - 25x + 10 is divided by another polynomiall g(x)= x^2 - 2x + k, the remainder is x+a. Find the value of a k and a'. Homework Equations [b]3. I tried solving it by...

Homework Statement the idea is to prove wether a prime 'p' divides the quantities {p \choose k} for k=01,2,3,...,p-1 Homework Equations The Attempt at a Solution i have tried by inspection for small primes 3,5,7,11,13,17,... but can not guess a simple solution , the idea...

Hello, I am a senior now. I have a B+ in one of my upper division physics classes. How can I still get into a good graduate program ? Its freaking me out.

I put down a script like this for u=(10:10:20)' i=(1:size(u,1))' X=zeros(size(u,1),1) X(i,1)=100/u(i,1) end I expect to get a result like X= 10 5 but it came out like X= 0 5 It seems it does work if it contain / in the equation. Please help!

Homework Statement Actually i want to ask something actually very easy... i just don't know the meaning of some words in different questions... firstly... multiplication of A and B means A*B right? how about multiplication of A by B means A*B or A/B?? secondly... division of A by B means...

So I was tutoring a friend who is in college algebra and we were working threw synthetic division of polynomials, and I realized I have never used that technique after pre-calc. I think its easier and there is less chance of sign mistakes using good old long division for polynomials why are we...

I've decided to go back to school to study physics. I was a physics minor the last time I was in undergrad, and have an undergraduate math degree an undergraduate computer engineering degree as well as a graduate degree in electrical engineering. So, after meeting with the dean of...

http://i5.photobucket.com/albums/y160/bornstubborn101/circuit3.jpg This is the circuit. Basically i need to calculate the two resistors that would make up the potentiometer at VR1 to give a voltage of 3V. I was going to use VR1 = R2/(R1+R2)*Vs The make: R1= VR1/Vs*(R1+R2)...

So now that I'm taking Electronics 1, the course right after Linear Circuits (DC/AC), the whole parallel/series schematic thing is kicking my ***. Pic 1 (idealdiode) is an example of just a tricky way of drawing something in parallel: namely, a voltage drop. With the (ideal) diode off = open...

Homework Statement Using the identity (1+2x) (1-2x+4x^2) = 1+8x^3 to expand (1-2x+4x^2)^(-0.5) in ascending powers of x as far as the term in x^3. (The answer is 1+x-x^2/2-7x^3/2+...) Homework Equations (1+2x)^(0.5) = 1+x-x^2/2+x^3/2+... (1+8x^3)^(-0.5) = 1-4x^3+... The Attempt at...

[FONT="Comic Sans MS"]The problem is that I am weak at long division and need it for ratio and rate.Homework Statement Homework Equations Like big questions such as 236 divided by 6.(I know it doesn't go in by using a calculator but if it has a point. The Attempt at a Solution I...

A baby is born weighing 4kg. It starts its life from a single cell, which then divides into 2 cells, each of those two divide then again, and so on. Use information from the problem above above to calculate how many diffusion process happen in the 9 months of pregnancy. Is this a realistic...

Hello, During the spring semester of school that is just beginning I will be a junior in physics at the University of Minnesota. I'm taking a physics class called Methods of Experimental Physics II in which for the majority of the semester groups of two will be working on an approved...

so synthetic division can be used to divide polynomials by monomials. is there a to divide by ax-b as opposed to x-b? ax^2-b? is there a general rule? thanks. or does one have to revert to polynomial long division.

I'm working on moving away from long time slavery to the calculator Most forms of division and multiplication is going well now (long division and in some instances lattice multiplication) One thing I DON'T get though (and can't find any guides for) is dividing remainders. For example...

What is the rule of division by 23? Thanks in advance.

Why aren't there any legit operation for division of two vectors (any kind of vectors)?

I'm a second semester sophomore right now majoring in Computer Engineering and things aren't looking bright for me. First semester, freshmen year, I got a 3.3 with one dropped class, chemistry. Second semester, freshmen year, I got a 2.8 with one dropped class, Calc 2. Both dropped...

Homework Statement -60/120 ^1/3 Homework Equations I've gone through my book, and I'm supposed to find a number that when multiplied by a perfect cube I can bring it out and then cancel with the division. Try as I might with my calculator, I can't find one. Am I doing this wrong?The Attempt...

Can anyone explain the correct way to do that type of long division with functions? If you don't get what i mean an example would be like x4+3x2+1 / x2-2x+3

1) Find the remainder of the division of 15! with 17 2) If (n^2)+2 prime show that 3 divides n 3)If p the smallest divisor for n show that there exist integers a and b such that an+b(p-1)=1 4) For every n>1 show that n does not divide (2^n)-1 Any help?

is there a way to prove it? if so what is it.

Here is the problem I am working on: Find the quotient and remainder when P(x) = 7 x^6 - 9 x^5 + 8 x^4 + 9 x^3 + 4 x^2 - 6 x is divided by (x + 5). My answer that I came up with is this. Q = 7x^5 - 44x^4 + 228x^3 - 1131x^2 + 5659x R = -28301x I have done this using Long and Synthetic...

Quotients in abstract algebra is a generalisation of division. While the latter works only for single elements, the former is for dividing sets. Amazing stuff!

(x^3-2)/(x^2+11x+24) can't seem to simplify this I get x+(-11x^2-24x-2)/(x^2+11x+24) that doesn't seem right.

Converting from Cartesian to Cylindrical coords - but division by zero! Homework Statement Let's say I want to convert the point P(0, -4, 3) to cylindrical. To convert from Cartesian to Cylindrical coordinates, one must use the formulas listed below. Homework Equations...

Substitute the letters by a different digit from 0 to 9 to satisfy this cryptarithmic long division problem. ....N K T ...------------------- F A R |...F R M N K B ...A K K N ...--------------------- ..... A B I K ...AM O K ...--------------- .....R T I B .....R A K T...

Let A be semiprime ring and e a non-zero idempotent. If Ae is a minimal left ideal then eAe is a division ring. Proof: Suppose that Ae is a minimal left ideal and that exe is different from 0 for x in A. Then $Aexe \subset Ae$ since Ae is an ideal and since Ae is minimal hence...

1. Use multiplication or division of power series to find the first 3 nonzero terms in the Maclaurin series of the function x/sinx. 2. the maclaurin series for sinx is \sum(-1)^{n}x^{2n+1}/(2n+1)! 3. I've tried to divide x/sinx substituting sinx for the maclaurin series but I seem...

Homework Statement The remainder is 3 when 4x^2 + 9x + k is divided by x-1 Im suppose to find the K. I am just confused because this question they give me the remainder..so what am i suppose to do with it?

Homework Statement If a, b < c, and d are positive integers, prove the following inferences. 1. a|b \wedge c|d \rightarrow ac|bd 2. a|b <=> ac|bc Homework Equations The Attempt at a Solution 1. a|b = x, then b = ax c|d = y, then d = cy bd = axcy thus ac|bd =...

CHECK IMAGE, I guess I do not understand voltage division properly can someone see why this doesn't work. Why is the first one giving the wrong answer..? thanks

As far as I know, matrices cannot be divided, you have to multiply one matrix by the inverse of the other...I believe. However, I am converting MatLab code into ANSI C and MatLab apparently divides two matrices. An example is the following... >>A=[1.5708 1.5708]; B=[0.4937 0.7652]; A/B...

How might I prove a Division Algorithm for the Real numbers? That is to say, if x, \alpha \in \mathbb{R}, then x=k \alpha + \delta for some k \in \mathbb{Z}, \delta \in \mathbb{R} with 0 \leq \delta < \alpha where k, \delta are unique.

Determine whether the sequence converges or diverges. If it converges, find the limit. An=7+4n^2/n+2n^2 I know you have to compare it to the integral of the same equation, so I do this and the only means of integration I believe to be is by partial fractions, since degree of top equals degree...

How can vector division be performed? Tell me the procedure how I would perform following expression: If A= 4i + 5j + 6k and B= 1i + 2j + 3k what will be A/B?

Prove that if d divides n then phi(d) divides phi(n). Thanks

Homework Statement Consider the indefinite integral of (4 x^3+4 x^2-96 x -100)/(x^2-25)dx Then the integrand decomposes into the form ax + b + c/(x - 5) + d/(x + 5) Find a, b, c, and d. Then find the integral of the function. The Attempt at a Solution Using long division...

I had some questions... 1. How come garlic extract increases the hayflick limit? http://www.smartskincare.com/aging/aging-mechanisms_cellular-clock.html 2. How come feeding the cell more results in its growth in size?(if that's so then why don't liver cells grow?) 3. I have read...

Homework Statement When we divide the polynom P(x) with x-a, we receive reminder \alpha, and if we divide P(x) with x-a, we receive reminder \beta. What will be the reminder, if we divide P(x) with (x-a)(x-b)? Homework Equations The Attempt at a Solution P(x)=(x-a)f(x) + \alpha...

1. Polynomial division a) For what values of k is x-2 a factor x^4 – 5x^3 + 3x + k in Q[x]? b) For what values of k is x+1 a factor of x^4 + 2x^3 – 3x^2 + kx + 1 in Z5[x]

Hello, I am not grasping how to deal with multiple divisions properly. If I have a/1 divided by b/1 divided by c/1 How do I know if the compressed form is ac/b or a/bc?

Homework Statement Please could someone run through the steps of this division ((2(x-1)^2) e^-x)/(1-x) Homework Equations The Attempt at a Solution is it necessary to multiply out this bracket?...im quite confused. thanks for help

Homework Statement Okay, so if f and g are continuous functions at a, then prove that f/g is continuous at a if and only if g(a) # 0 Homework Equations Assuming to start off the g(a)#0, by the delta-epsilon definition of continuity, basically, We know that |f(x)| and |g(x)| are bounded...

Hey, I see a lot of things going on with some mathematical equations that even I would do, but I'm always confused by them for some reason, such as: \frac{\sigma-\delta}{\sigma} Wouldnt this just be equal to: \frac{\sigma}{\sigma} - \frac{\delta}{\sigma} = 1 - \frac{\delta}{\sigma} I...

Homework Statement Here is the exact wording of my sons problem When a certain land owner died this l shaped plot of land was left to be shared among four children the only stipulation of the will was that the land must be divided into four congruent plots. show how this can be done. The...

The question is: Vector b/a=_____ I guessed a few times (losing a point each time it was wrong) and finally got the answer. The answer is: 12 left The site (it's online homework) then gave this explanation: "To the driver of the Audi, the Buick appears to be moving to the left and...

How do i know under which circumstances to use synthetic and when to just do regular polynomial division? do they not both give the same results?

Okay, this may be a silly subject for a thread, but do you know that trick where you check whether a number is divisible by 3? The one where you add all the digits of that number, then add all the digits of the number you get as a result and so on, until you're left with a single-digit result...

I just graduated from a University. I was in Mechanical Engineering major. My overall GPA is 3.5. However, I have some problems with my Lower-level division courses. While I was in Freshman and Sophomore years, I had some Ds, Fs and W in some Math and G.E subjects. I did very very well in...