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

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

Question 414903: find the coffecient of the x^8y^3 term in teh expersion of (-x+y)^11..plz help me
Click here to see answer by sudhanshu_kmr(1152)

Question 414907: My goal is to factor the polynomials:
8b^2+24b+18
Here is where I am at...and managing to confuse myself.
8b^2+24b+18 = GCF= 2: 8b^2/2 = (4b^2) and 24b/2 = (12b) and 18/2 = (9)
2(4b+12b+9) =
Please help!!!
Click here to see answer by stanbon(57347)

Question 414981: 1. How do you work 3 + 1/x divided by 2 - 2/x
2. x + y divided by 1/x + 1/y
3. 4 + 11/2x divided by 3 - 11/2x
4. 2x(squared) + x - 15 divided by x(squared) + x - 6
5. 2x(squared) + 4x + 2 divided by (x+1)(squared)
Click here to see answer by stanbon(57347)

Question 414963: Factor Completely.
6x^3+48
6(x+2)(x^2-2x+4) Is this correct?
Click here to see answer by dnanos(83)

Question 414888: Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression. (-3x^2y^6)^2
Click here to see answer by ankor@dixie-net.com(15652)

Question 415013: Factor completely.
25x^2-16
My answer (5x+4)(5x-4)
Can anyone confirm whether or not this is correct. I would really appreciate the help.
Click here to see answer by sudhanshu_kmr(1152)

Question 415037: (a^2+5ab+6b^2/a^2-5ab+6b^2) * (10a-30b/5a+10b)
Click here to see answer by woolybear(13)

Question 415000: Divide 6a^3h + 13a^2h -4a^h - 15 by 2a^h + 3
Click here to see answer by woolybear(13)

Question 415057: please help me solve this equation: +
Click here to see answer by richard1234(5390)

Question 414952: what is the binomial that is a factor of this trinomial 4x^2+13x+3
Click here to see answer by robertb(4012)

Question 415010: Factor Completely.
27x^2y^3+xy^2
I have xy^2(27xy+1) I think it can be factored further because of the 27 but I am not sure how. Can anyone assist me on this problem?
Click here to see answer by jim_thompson5910(28595)

Question 415164: I need to know the steps for writing a polynomial as the product of two binomials. I would like to have four problems solved, with a step by step explanation for each. Thanks!
6(3+r)+r(3+r)
d(d-5)+7(5-d)
(z-2)^2 +9(z-2)
4(z+1)^2 +3(z+1)

Thanks!

Click here to see answer by ewatrrr(10682)

Question 415243: What is (12X-60)/(3X-15) simplified ot it's lowest terms?
Click here to see answer by sudhanshu_kmr(1152)

Question 415316: Solve the equation.
4(x-3)=5
I have 4x-3-5=0 I am stuck, I do not know what to do next can someone please assist me in completing this equation.
Click here to see answer by solver91311(16885)

Question 415341: what is x^5+4x^4-32x^3=0
Click here to see answer by solver91311(16885)

Question 415341: what is x^5+4x^4-32x^3=0
Click here to see answer by htmentor(789)

Question 415381: I understand the foils steps however I'm a bit confused with it and fractions such as (2/3y-1/2)^2. Please Help
Click here to see answer by ewatrrr(10682)

Question 415381: I understand the foils steps however I'm a bit confused with it and fractions such as (2/3y-1/2)^2. Please Help
Click here to see answer by rfer(12657)

Question 415387: 30/y - 30/y-6 = 9/y
the solution is y =
Click here to see answer by sudhanshu_kmr(1152)

Question 415422: completely simplify the expression
4(x+1)-(4x-5)
Click here to see answer by stanbon(57347)

Question 415420: 3m-1= 10m+20
Click here to see answer by praseenakos@yahoo.com(507)

Question 415415: A barge moves 6km/h in still water. It travels 51 km upriver and 51 km downriver in a total time of 114 hr. What is the speed of the current?
Click here to see answer by sheldonxu(4)

Question 415241: The stopping distance d of a car after the brakes are applied varies directly as the square speed r?
if a car traveling 30 mph can stop in 50 feet how many feet will it take the same car to stop when it is traveling 90 mph?

Click here to see answer by ankor@dixie-net.com(15652)

Question 415311: Solve the following equation.
36x^3-x=0
Click here to see answer by ankor@dixie-net.com(15652)

Question 415477: The formula A = 3Ts+Qz/3T+Q gives a student's average, A, after T tests and Quizzes, where each test counts as 3 quizzes, where s is the test average and Z the quiz average. Solve for Q.
Click here to see answer by stanbon(57347)

Question 415487: 5 over 4x-9
(5/4x-9)
Click here to see answer by solver91311(16885)

Question 415512: In class we are adding and subtracting rational expressions with unlike denominators. It is a pun puzzle worksheet. I get the idea and can do most of the problems, but there are some like the one I am going to ask about that are stumping me.
So the expression is:
u 2u
----- + -------------
u + 5 u^2 + 8u + 15
So, the first step is to find the LCM by factoring the denominators.
u + 5 = (u + 5)
u^2 + 8u + 15 = (u + 5)(u + 3)
LCM: (u + 5)(u + 3)
So now I have gotten the LCM, I must make the denominators like, like so:
u (u + 3) 2u u^2 + 3u 2u
----- x ---------- + -------------- = -------------- + --------------
u + 5 (u + 3) (u + 5)(u + 3) (u + 5)(u + 3) (u + 5)(u + 3)
Now, I combine my like terms which gives me:
u^2 + 5u
--------------
(u + 5)(u + 3)
However, on the worksheet, there are other possible answers listed along with the correct answer to each question to solve the puzzle. The problem is that my answer does not appear in the answer box. The answer that does appear is:
u^2 - 7
--------------
(u + 3)(u + 5)
The only reason I think that that is the answer you are supposed to get is because it is the only answer listed with a matching denominator. My question is, how can you get a negative ( - 7 ) in an answer from an expression that is entirely positive?
Click here to see answer by mananth(12270)

Question 415535: -sqrt(36) + -sqrt(500)
express in terms of i. a + bi form
Click here to see answer by stanbon(57347)

Question 415631: I know that I must place a -0 between the ^4 and -8^2 but I believe I am doing the problem incorrect
(3x^4 -8x^2 -3x-3) / (x^2-3)
x^2-3 / 3x^4-0-8x^2-3x-3
becomes 3x^2 -x +0 -3/x^-3
Click here to see answer by Theo(3464)

Question 415755: 2log[base 3](x+4)-log[base 3]9=2
Click here to see answer by ewatrrr(10682)

Question 415755: 2log[base 3](x+4)-log[base 3]9=2
Click here to see answer by stanbon(57347)

Question 415753: Solve the logarithmic equation.
Express irriational solutions in exact form and as a decimal rounded o 3 decimal places.
log[base a]x+log[base a](x-2)=log [base a](x+4)
Click here to see answer by stanbon(57347)

Question 415751: solve the exponential equation
2^(x+1)=5^(1-2x)
Click here to see answer by stanbon(57347)

Question 415770: Multiply.

Trying to understand these can you show me how this is done through each step. thank you.
Click here to see answer by htmentor(789)

Question 415770: Multiply.

Trying to understand these can you show me how this is done through each step. thank you.
Click here to see answer by ewatrrr(10682)

Question 415785: Why is the followig incorrect? Give an example proving your answer...
log[base 2](x+y)=log[base 2]x+log[base 2]y
Click here to see answer by ewatrrr(10682)

Question 415786: write each expression as a single logarithm.
log(x^2+3x+2)-2log(x+1)
Click here to see answer by ewatrrr(10682)

Question 415781: solve the logarithmic equation
-2log[base 4]x=log[base 4]8
Click here to see answer by ewatrrr(10682)

Question 415787: write each expression as a sum and/or difference of logarithms. Express powers as factors.
ln[((x-4)^2)/((x^2)-1))^(2/3)
x>4
Click here to see answer by stanbon(57347)

Question 415794: use properties of logarithms to find the exact value of each expression.
log[base 3]8 * log[base8]9
Click here to see answer by lwsshak3(6505)

Question 415810: factor the expression, factor out all common factors if they exist.
-6abc - 6ac^2 + 2bc + 2c^2
Click here to see answer by ewatrrr(10682)

Question 415857: The difference of the squares of two consecutive negative odd integers is 40. Find the numbers.
I tried to set it up like this: n=1st integer n-1=2nd integer
n2-(n-1)2=40 (the 2's are squares, but I can't do it on my keyboard)
but then I get stuck.
Click here to see answer by Alan3354(30993)

Question 415782: Simplify

Can someone help me out with this.
Click here to see answer by jim_thompson5910(28595)

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