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

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

Question 196807: due to a lack of funding , the number of students enrolled at city college went from 9000 last year to 4000 this year. find the percent decrease in enrollment?
Click here to see answer by Mathtut(3670)

Question 197380: Can you help me simplify by removing a factor of 1.

Click here to see answer by solver91311(24713)

Question 197381: I have a polynomial I have to divide and am stuck:

Click here to see answer by solver91311(24713)

Question 197392: Simplify by removing factors of 1.

I am unsure of the answer. The solver on the website says the answer is , however I got the answer . Can you please verify the correct answer for me?
Click here to see answer by RAY100(1637)

Question 197386: I'm trying to find all numbers for which the following radical expression is undefined. If the expression is defined for all real numbers, then I am to state so. I even have the answer to the problem. I just can't figure out how to factor to get to the correct answer:
y + 3 over
4y^2 + y - 3
I set the denominator to zero and tried to solve:
4y^2 + y - 3 = 0

(x - 1) = 0 (x + 3) = 0
add 1 to each side subtract 3 from each side
x = 1 x = - 3
This is the answer I come up with, but the correct answer is y = -1, y = 3/4.
What am I doing wrong? Thanks!
Click here to see answer by RAY100(1637)

Question 197399: In a right triangle, find the length of the side not given.
b = 2, c = square root of 13.
I got as far as
Where do I go from here?
Click here to see answer by Earlsdon(6294)

Question 197424: I have tried everything for this problem and I cannot get the answer.
The directions say to expand it.

Click here to see answer by Edwin McCravy(20054)

Question 197404: Find the following:

Click here to see answer by Alan3354(69443)

Question 197437: Using foil method, how would I solve the following equation
(x + 3) (X - 4)
Click here to see answer by Alan3354(69443)

Question 197440: using FOIL method
How would I solve the following equation
(2x + 1) (x + 4)
Click here to see answer by jim_thompson5910(35256)

Question 197405: Multiply.

Click here to see answer by jim_thompson5910(35256)

Question 197405: Multiply.

Click here to see answer by checkley77(12844)

Question 197402: Divide and simplify.
(7w-28)/(33) /
(w-4)/(121w)
Click here to see answer by edjones(8007)

Question 197472: HeLLo! And if you are helping me.... I truly appreciate it! Im having a hard time with FACTORING!! Im in Math098...i am a freshman in college!! MAth is not my subject and it is very depressing for me... So if you can help me... or answer the questions... I will gladly appreciate it...
AGAIN... This is factoring....
I cant make an exponent so instead I will do something like this... EXAMPLE: 2^2

1.) 3-x+xy-3y
2.) 2x^3+8x^2+6x
3.) x^2+4x+5
4.) 8x^2+6x-9
5.) 12x2-x-20
6.) -24x^3-42x^2+45x
7.) 2x^2-x-1
8.) 6x^2+9x+4x+6
9.) 6x^2+x-1
10.)16+16x+3x^2
11.) x^2-22x+121
12.) 9x^2-4z^2
13.) x^2-8x+16
14.) -10x^2+3x+1

Thank you sooo much... please help!! I need this by 5/24/09...
Sunday afternoon!! Thanks!!
Click here to see answer by stanbon(75887)

Question 197542: ok I am a bit stuck on what to do here I tried the solvers but it keeps telling me an error of some sort.
The only direction I have for this problem is to multiply can some one please help me. Thanks
� 4x5(� 3x5 + 2x2 � 4)

Click here to see answer by vleith(2983)

Question 197551: 9/9+y + 9/9+y
Add

Click here to see answer by user_dude2008(1862)

Question 197550: 6/ry*2 + 7/r*2y
add. Simplify if possible.

Click here to see answer by user_dude2008(1862)

Question 197552: 8/11x*2-11x - 7/11x-11
This problem is eight over eleven x squared minus eleven x SUBTRACT seven over eleven x minus elevin
Click here to see answer by jim_thompson5910(35256)

Question 197554: Simplify by removing factors of 1
8w-56/ 7-w
Click here to see answer by jim_thompson5910(35256)

Question 197555: Simplify by removing factors of 1
t*2-4/t*2-4t+4
Click here to see answer by jim_thompson5910(35256)

Question 197561: Simplify by removing factors of 1
18x*5 / 21x*3

Click here to see answer by Alan3354(69443)

Question 197562: Divide and simplify
(6/v) / (30/v)
Click here to see answer by user_dude2008(1862)

Question 197565: Solve.
1-t/9-t = 8/t-9
Click here to see answer by jim_thompson5910(35256)

Question 197563: ADD
(9/z-4 )+ (9/z+4)
Click here to see answer by nerdybill(7384)

Question 197560: solve
5/z+6 = 4/z-6
Click here to see answer by stanbon(75887)

Question 197558: Find all numbers for which the rational expression is undefined.
6/x-1
Click here to see answer by stanbon(75887)

Question 197596: Factor the expression on the left side of each equation. Then solve the equation.
x^6+16x^3+64=0
I can find the answer in the back of the book however, i do not understand how they got the answer.
The answer is:
(x+2)^2 (x^2-2x+4)^2
Click here to see answer by vleith(2983)

Question 197520: The first one I could not figure out. The last two I tried to figure out. Would someone please help me. Thank you!!!

Divison of polynomial
(u^5z^8) / (z^-5u^-4)= ?

(2)^0 /3 = .33..
25 1/2 / 10^2 = 1/20
Click here to see answer by ankor@dixie-net.com(22740)

Question 197623: Please help me solve this equation and explain how you did it: 9x^2 + 6x +1 =64
Click here to see answer by Alan3354(69443)

Question 197629: please simplify

(2x^2+3x-6)-(6x-5)

thank you
Click here to see answer by jim_thompson5910(35256)

Question 197634: factor out the problem.

2x^2+13x+15

thank you
Click here to see answer by jim_thompson5910(35256)

Question 197634: factor out the problem.

2x^2+13x+15

thank you
Click here to see answer by Earlsdon(6294)

Question 197636: factor out this problem.

x^2+11x+28

thank you
Click here to see answer by jim_thompson5910(35256)

Question 197645: factor out the problem.

24a^3b^2-16a^4b^3+8a^2b

thank you
Click here to see answer by stanbon(75887)

Question 197564: Multiply and simplify
(4x*6/11r*4 )(121r*7/16x)
Click here to see answer by checkley77(12844)

Question 197756: x^2 + 8x -4 = 0
Click here to see answer by jim_thompson5910(35256)

Question 197771: 2. Translate the following into a system of equations, then solve it:
A customer walks into an electronics store and buys four MP3 players and six sets of headphones, paying $740. A second customer buys five MP3 players and four sets of headphones, and pays $785. How much does an MP3 player cost? How much does a set of headphones cost?

Click here to see answer by stanbon(75887)

Question 197833: Find the product
(9x+4)^2
Click here to see answer by solver91311(24713)

Question 197831: Factor x^2-7x-44
factor by grouping h^4-h^3+h-1
Click here to see answer by Mathtut(3670)

Question 197845: (4y-3) (4y+3)
Click here to see answer by Mathtut(3670)

Question 197830: Factor, The expression by factoring out the largest possible common factor.
4b(2a + 9c) - 7d(2a + 9c)
Click here to see answer by Mathtut(3670)

Question 197855: x^5-7
x^2+8x+15

Click here to see answer by Alan3354(69443)

Question 197872: A rectangular pen has a length of 3 feet greater than its width. If both dimensions are increased by 5 feet, which expression gives the resulting increase in area?
a. 10x + 40
b. 13x + 40
c. x2 + 13x + 40
d. x2 + 10x =40
My attempt: area = length x width
original pen would be x(x+3)=x2+3x
new pen would be (x+5)(x+8)=x2+13x+40
However answer sheet says correct answer is A.
Thank you
Click here to see answer by josmiceli(19441)

Question 197939: find the lowest common denominatior
x/x+2 + 3/2=9/2
Click here to see answer by nerdybill(7384)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105