Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)

Question 31004: If twice a number added to 3 is divided by the number plus 1, the result is three halves? find the number.
Click here to see answer by Cintchr(481)

Question 30996: How do I Solve:

Click here to see answer by acerX(62)

Question 31020: I was wondering how i could simplify this:

Click here to see answer by mbarugel(146)

Question 31029: Need some help multyplying and expressing this problem in simplest form.
(x-3) * (1)
----^3-----------^2----
(2) * (X-3)
Click here to see answer by acerX(62)

Question 31021: I need some help or advice simplifying this fraction.
10x^2 - 30x + 20 / X^2 - 1
Click here to see answer by acerX(62)

Question 31016: two divided by the difference of a number and 3, minus 4 plus 1, the result is three halves. find the number
Click here to see answer by acerX(62)

Question 31055: 2x 4x + 1
________ + _________ = ______
x + 3 x + 3 x + 3
I realize my alignment is not the best, but I am keeping my fingers crossed that someone understands what I am trying to show. The problem is asking to find the missing expression.
Click here to see answer by acerX(62)

Question 31041: What are the solutions to ?
I know the answer is(-3,-1,1)but i'm not sure how to get that.
I have tried factoring an x, then trying to complete the square, which did not work out.
I have tried factoring and x, then using the quadratic formula...
and have tried polynomial division, yet i can't get that answer.

Click here to see answer by Earlsdon(6287)

Question 31038: I need help simplifying this:
I came up with this answer and need to know if its correct.
3a + b / 2*(3a + b) = 2 , 3a + b is not equal to zero.
Click here to see answer by Earlsdon(6287)

Question 31039: How can i simplify this fraction.
a^2 - 2ab + b^2 / a + b

Click here to see answer by Earlsdon(6287)

Question 31037: I need some help simplyfing this:
Until now this is what i have for 2x^2 + X - 6 / 2x + 4
(2X - 3)*(x + 2) / 2(X + 2) = 2X - 3 / 2 X is not equal to 3/2
X is not equal to 2
Is this right?

Click here to see answer by Earlsdon(6287)

Question 31044: Simplify and evaluate:
(x^3 y-^4 z^0/5x^6y^8)^3
2 convert to scientific notation:
0.000347
3. For f(x)=2x-11, find f(2).
4. Perform the indicated operations:
(5x^2 - 3x + 2) + (-3x^2 - 5x - 8_ - (x^2 + 3x - 10)

Click here to see answer by acerX(62)

Question 31092: One custodian can clean a suite of offices in 3 hours. When a second worker is asked to join the regular custodian, the job takes only 1 1\2 hours. How long would it take the second worker to do the same job alone?
Click here to see answer by Paul(988)

Question 31098: A runner begins her workout by jogging to the park, a distance of 3 miles. She then jogs home at the same speed but along a different route. This return trip is 9 miles and he time is one hour longer. Complete the accompany chart abd use it to find the runner jogging speed. t=d\t
Click here to see answer by Paul(988)

Question 31095: One pipe fills a storage pond in 20 hours. A second pipe fills the same pond in 15 hours. When a third pipe is added and all three are used at fill the pond, it takes only 6 hours. Find how long it would take the third pipe alone to do the job.
Click here to see answer by Paul(988)

Question 31132: a boat can travel a 9 minles upstream in the same time amount of time it takes to travel 11 miles downstream. if the current of the river is 3 miles per hour, complete the chart below and use it to find the speen r of the boat in still water

Dis= rate * time
upstream 9 r-3
downstream 11 r+3
Click here to see answer by venugopalramana(3286)

Question 21379: WHICH RATIONAL NUMBER IS GREATER? 5/16 OR 7/18?
Click here to see answer by mbarugel(146)

Question 21379: WHICH RATIONAL NUMBER IS GREATER? 5/16 OR 7/18?
Click here to see answer by AnlytcPhil(1276)

Question 31141: Find the real number for which this rational expression is undefined: 5x+9 ----------- 4x²-4x-15

Click here to see answer by AnlytcPhil(1276)

Question 31133: a clclist rides 16 miles per hour on level ground on a still day. He finds that he finds that he rides 48 miles with the wind behind him in the same amount of time that he rides 16 miles into the wind. find the rate of the wind
Click here to see answer by mbarugel(146)

Question 31144: I know that there are other questions similar to mine posted, and i have tried to use them to solve my question but i am complelty stumped! So if you could help me at all it would be soooooo great!! This is URGENT!!!

2x/2x-1 - x+1/x+3 = 3x+1/2x-1

Click here to see answer by mukhopadhyay(490)

Question 31173: A car travels 90 miles in the same time that car travelins 10 miles per hour slower travels 60 miles. Find the speed of each car.
Click here to see answer by mbarugel(146)

Question 31224: hey i really need help in this problem it is really hard.. my problemis 3k^2-39k+90 i don't now what signes to use and how do i get the answer. i really need help i have a quiz tomorrow and i don't want to fail it please help me understand this! thank you
Click here to see answer by venugopalramana(3286)

Question 31217: simplify rational expressions using -1 as a factor
x squared - 1
_____________
1 - x
Click here to see answer by troyapplehelen(46)

Question 31218: simplify rational expressions using -1 as a factor
x squared -4 over 2-x
Click here to see answer by troyapplehelen(46)

Question 31216: Rational Expressions using -1 as a factor
How do I solve 4-xsquared over x+2
Click here to see answer by troyapplehelen(46)

Question 31306: (3x^2y^4)^3
Click here to see answer by joey_quizan(15)

Question 31284: The polynomial in Q[t] determine the rational roots(if any) and factor the polynomial as a product of irreducible polynomials in Q[t].
f(t)= t^5 - 2t^4 - 4t^3 + 4t^2 - 5t +6
Click here to see answer by venugopalramana(3286)

Question 31239: Hello,
I have a math problem that I just can't figure out, please help!!!

x^2 - 4/5x X 30/3x-6=
Thanks,
Kristin
Click here to see answer by brianunlv(12)

Question 31219: simplify rational expressions using -1 as a factor
x squared + 3x + 2 over -3x - x squared - 2
Click here to see answer by Cintchr(481)

Question 31183: how do I simplify and answer y=(x-a).(x-b).(x-c).,,,.(x-Z)
Click here to see answer by venugopalramana(3286)

Question 31342: Some students simplify 2x^2 - 32 / X - 4 as
(2x) (8)
2x^2 - 32
---------------------- = 2x -8
(X - 4) <-- Cancels

Chose values of X to show this is not true. Then simplify correctly.
Click here to see answer by Nate(3500)

Question 31343: Can any one help me with this?
( x - 3 / 2 )^3 * ( 1 / x - 3 )^2
Click here to see answer by stanbon(57307)

Question 31341: I need some help simplifing this please. Thnx
(X^2 - 9) / (x + 2) * (X^2 - 4) / (x -3)

Click here to see answer by stanbon(57307)

Question 31344: Im totaly stuck with this one.

( X / 5 ) - ( X + 2 / 3 ) = ( 1 / 15 )
Click here to see answer by Nate(3500)

Question 31355: Perform the indicated operations:
(5x2-3x+2) + (-3x2 – 5x – 8) – (x2 + 3x – 10)

Click here to see answer by Cintchr(481)

Question 31321: Evaluate the Polynomial x^3+2x^2+5x-1 when x=-2
This is how I did it:
-2x^3+2.-2^2+5.-2-1
-2x^3=2.4-10-1
-2x^3+8-10-1
-2x^3-2-1
-2x^3-3
What is 3(x^2)^3 times (-2x^5)^3
Thanks in advance!
Click here to see answer by blubunny01(20)

Question 31154: (x+3)(2x-5)

Click here to see answer by troyapplehelen(46)

Question 31312: Would someone mind helping me with this problem... (x^5+32)/x+2 How do I do this?
Click here to see answer by troyapplehelen(46)

Question 31313: Could someone help me with this problem? f(x)=(x-3)/(x+2). Thank you so very much!
Click here to see answer by Nate(3500)

Question 31083: Please, I need help with this problem:
Assume that (X-2) is a factor of the polynomial f(x)=x^3+a(x^2)+bx+2 and that f(x) gives a remainder of -3 when it is divided by x+1. Then, a=?, b=?.
What I did is I used the factor they gave me and used the 2 as a root. It gave me 4a+2b=-10 and so I planned to use and solve a system of equations with what I could get from the other information they give me with the problem. I'm stuck though, cause I have no idea of what to do with the remainder data...
Please help, and thanks so much!
Click here to see answer by mukhopadhyay(490)

Question 31384: factor completely
5x^2-25x-70
Click here to see answer by mukhopadhyay(490)

Question 31383: factor completely
3x^3-75x
Click here to see answer by mukhopadhyay(490)

Question 31382: factor completely
4x^2-28xy+49y^2
Click here to see answer by mukhopadhyay(490)

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