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

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

Question 14331: I Need Help Solving This Problem....
x/5 - x+2/3 = 1/15
Click here to see answer by venugopalramana(3286)

Question 14332: How Do I Solve This Problem?
x-2/2 - x+2/4 = 1/2
Click here to see answer by venugopalramana(3286)

Question 14934: The sum of two numbers is 133. Four times the smaller of the two numbers equals three times the greater number. Find the number.
Click here to see answer by venugopalramana(3286)

Question 14944: Solve for x in these equations.Verify the solutions.

1/2x=12
Click here to see answer by LilSkittleMd(119)

Question 15477: How do I solve the below question
3 square root a/27
Click here to see answer by rapaljer(4671)

Question 15506: what is the product of this (x+3)(3x-5)?
Click here to see answer by smik(40)

Question 15694: Please can you resolve this into partial fractions

Thanks
Click here to see answer by venugopalramana(3286)

Question 15615: A rectangle is twice as long as it is wide. If both its dimensions are increased by 4 meters, its area is increased by 88meters squared. Find the dimesions of the original rectangle.
I have tried this, but know it's not right.
(2x+4)(x+4)-(2x)(x)=x+88
2xsquared+8x+4x+16-2xsquared=x+88
12x+16=x+88
12x=x+72
11x=72
Where have I gone wrong?? I sent two questions, but this the one I need help on.
Click here to see answer by vasu2qute(17)

Question 15622: if x=5 and y=36 what is x92+y834
Click here to see answer by pwac(253)

Question 15820: I don't know how to do these problems could u help me solve them step by step they are:
4x-7=3x
1/4x+9(1/4x-5/8)=7/8;
2/5(20x-10)-8=1/7(14x+28)+6x;
5(3-x)-12>4(x+6)

Click here to see answer by marcelita(1)

Question 15884: How do I solve this problem?
One-third of a number is 5 less than half of the same number. What is the number?
Click here to see answer by pwac(253)

Question 15883: Idk how to solve and check this problem,
The sum of a number and its reciprocal is 10/3. What is the number?
Click here to see answer by venugopalramana(3286)

Question 15988: x^2 + 12x-28
Click here to see answer by pwac(253)

Question 15992: (2x exponent3- 6x-36)(x-3)
Click here to see answer by pwac(253)

Question 16048: x^2+14x+45=0
Click here to see answer by rapaljer(4671)

Question 16200: Factor the equation
10(y+7)-x(y+7)
thank you
Click here to see answer by mds07(1)

Question 16268: Factor each trinomial:
6). 18x^2-27x-5
8). 18y^2+ 9y -5
Click here to see answer by Earlsdon(6294)

Question 16452: how do you solve the polynomial equation 3x^2+11x-4=0
Click here to see answer by shirsenduban(10)

Question 16370: Can anyone show me how to do this properly please.
3x^2-6x/3x^3 divided by x-2/6x^2
Your help will be greatly appriciated.
Click here to see answer by rahman(247)

Question 16464: Your help with this would be greatly appreciated.
"List the possible rational zeros of f(x)= 4x^3 + 12x^2 - x + 15. (Use rational zeros theorem)."
I know you have to use all the factors of the denominator and the numerator.
Which I believe are, 1,2,4,3,5,15 then combinations of fractions. But am still confused.
Click here to see answer by rapaljer(4671)

Question 16514: x^16-1
Click here to see answer by Earlsdon(6294)

Question 16517:
Click here to see answer by rahman(247)

Question 16526: I have an multiplication problem with a binomial.The problem is( 4x with a square root of two minus 3y)multiply it by itself
Click here to see answer by rapaljer(4671)

Question 16548: 100x^4-16y^4
Click here to see answer by rapaljer(4671)

Question 16542: 10^2+27+5
Click here to see answer by rapaljer(4671)

Question 16552: 60xy^2-20xy-45y
Click here to see answer by rapaljer(4671)

Question 16515: 9a^2-30ab+b^2
Click here to see answer by rapaljer(4671)

Question 16536: if (a+2)x^2- 2ax - a = 0

what is range of a ?
Click here to see answer by AnlytcPhil(1806)

Question 16558: 14+3x(x+2)=-7x
Click here to see answer by venugopalramana(3286)

Question 16559: 2x^3-x^2-15x
Click here to see answer by rapaljer(4671)

Question 16575: Hello, here is my problem:
(U^6 + V^6 + 2U^3V^3) / (U^3 -V^3 + U^2V �UV^2)
The answer is= (U^2-UV+V^2)^2 / (U-V)
I have been working on it for about three hours, I just need the steps to help me figure it out. Please and Thanks!

Click here to see answer by Earlsdon(6294)

Question 16731: Hello, I'm having trouble factoring a binomial. the problem is
50x2 - 200. (Its 50 x squared minus 200) I thought the answer was

50(x+2) (x-100). Is this correct? Thank you for your assistance.

Click here to see answer by Earlsdon(6294)

Question 16730: 5{a-2b}-3a{4-b}
Click here to see answer by rahman(247)

Question 16742: Plase help me factor this problem:
x^3 + 3x^2 - 25x - 75. thank you for your help!!!
Click here to see answer by Earlsdon(6294)

Question 16799: Hello!
Could someone please help me with this math problem?
(6y^2 -y -2) / 2y+1 over 3y-2
Thank you!
Angela C.

Click here to see answer by rapaljer(4671)

Question 16814: Could someone help me please with this problem?
I am having a meltdown with trinomials and factoring.
I am supposed to factor each trinomial using trial and error, I am STUCK!:
15x^2-x-2 and 15x^2 + 13x-2
Thank you in advance and all help is appreciated!
Angela
Click here to see answer by Earlsdon(6294)

Question 17435: Hi There!
I really need help understanding Factoring with a Zero Product. Could someone please explain this problem to me?
-2x^2 -2x + 24=0
Thanks to all

Click here to see answer by bam878s(77)

Question 17517: Okay, I'm totally confused and I've been working on this for over an hour, please help...
Evaluate the following polynomial:
f(x) = 3x^2-x+7, f(1)
Step-by-step help would be greatly appreciated...thanks in advance
Click here to see answer by venugopalramana(3286)

Question 17542: Find the slope, if it exists, of the line containing the pair of points (4,-8) , and (-7,-8)
Click here to see answer by Kenisha211(1)

Question 17497: My granddaughter is having a very difficult time with her algebra. Although I have always been very good a math of most kinds, I do not understand what the teachers are asking her to do. Could you please help explain how to do a problem such as this:
(((3x^2 + 7x + 2))) or (((3n^2 + 2n - 1))) They are asking her to factor each trinomal.
I feel that if I understand the solution, then I can help her to understand how to find the solution. She was given 4 pages of this type of homework and no book to explain it. Your assistance will be greatly appreciated. Thank you in advance and I have left my e-mail address for you to contact me that way.
Pat
Click here to see answer by rapaljer(4671)

Question 17594: Add these expressions.
a+6/a+2 + 16/a^2-4

Click here to see answer by rapaljer(4671)

Question 17683: Hi i would really appreciate it if someone would help me with this problem.
If is a perfect square, then prove p,q,r are in harmonic progression.
I know that i should prove somehow that i think i can do this using but i thought that it only applied to quadratic equations of the form Please help. Thanks
Click here to see answer by venugopalramana(3286)

Question 17822: x/3+3x/4=13/3
Click here to see answer by venugopalramana(3286)

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23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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