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

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

Question 37042: factor 9x^2-25x-6
Click here to see answer by checkley71(8403)

Question 37044: factor
8x^2+54x-45
Click here to see answer by wuwei96815(245)

Question 37081: i need some help on problem number 30 in algebra structure and method book 1. the problem is 0=3(1-2t)-5(2-t). here is how i did it,
0=3-6t-10+5t
then
0=-7-6t+5t
0=-7-1
that is as far i can go. help?
Click here to see answer by wuwei96815(245)

Question 37080: Please Help me with this equation:(4n-8m)(4n+8m)

Click here to see answer by wuwei96815(245)

Question 37137:
Solve for x: 1 1 22 �� + �� = �� x - 4 x + 4 x� - 16

Click here to see answer by AnlytcPhil(1806)

Question 37140:
3x� - 6x �� 3x

Click here to see answer by AnlytcPhil(1806)

Question 37138: Find a polynomial of degree 3 with roots 2i, 1, and 3.
Find the rational roots if they exist of x3-3x2-2x-8
Determine the positive and negative real roots of 2x5+x4-3x3+x2-x+1
Find the other roots of x3+4x2-7x-10 if one root is 2
Click here to see answer by AnlytcPhil(1806)

Question 37032: I need to simplify rational expression
Here is my problem i am having trouble with
2x^2 - 3x -9 / 2x^2 + 3x -9

Any help please, it would be great
Click here to see answer by fractalier(6550)

Question 37222: Between April 1,2004, and May 1,2004, the world populationgrew from approximately 6,358,000,000 to 6,364,000,000. What is the growth rate per month given in scientific notation?
Click here to see answer by stanbon(75887)

Question 37266: I am having trouble. I need to factor completely. If a polynomial is prime, state this.
x^2-11xy+24y^2
Click here to see answer by stanbon(75887)

Question 37278: Please help me. I need to factor completely. Look first for common factor, if polynomial is prime, state this,

Click here to see answer by checkley71(8403)

Question 37276: Help! I need to factor completely. If a polynomial is prime, state this.

Click here to see answer by checkley71(8403)

Question 37276: Help! I need to factor completely. If a polynomial is prime, state this.

Click here to see answer by venugopalramana(3286)

Question 37340:
Click here to see answer by AnlytcPhil(1806)

Question 37241: 7m^2n-21mn+49mn^2
Click here to see answer by fractalier(6550)

Question 37285: Please help factor completely
b^4a-81a^5
Click here to see answer by fractalier(6550)

Question 37334: Simplify 4 sqrt 16x^3y^2 - 5y sqrt 4x^3. Not sure how to handle this. Any help is greatly appreciated.
Click here to see answer by checkley71(8403)

Question 37260:
Click here to see answer by checkley71(8403)

Question 37482: Simplify and please show work. Thanks!

Click here to see answer by stanbon(75887)

Question 37551: I cannot figure this out, please help! The volume of the box is represented by (x^2 + 5x + 6)(x + 5). Find the polynomial that represents the area of the bottom of the box.
Click here to see answer by fractalier(6550)

Question 37552: If the first side of a triangle is 3/4x, the second side is 1/x^2 and the third side is 5/x^2, find an expression that represents its perimeter.
Click here to see answer by jcmtnez(53)

Question 37556: Can you show me how to solve this? 5a-12/a^2-8a+15 - 3a-2/a^2-8a+15
Click here to see answer by vidhyak(98)

Question 37558: Could you please help me figure out this problem.
4y/y^2+6y+5 + 2y/y^2-1
I keep coming up with 2y^2/6y+5
Is this right, should it be broken down more?
I appreciate your help!
Click here to see answer by fractalier(6550)

Question 37461: y=(x+1)(x-2)=0
Click here to see answer by fractalier(6550)

Question 37561: Can someone please help with this? I don't understand!
If the length of one side of a rectangle is x/2x-5 and the width is 8/2x-5, find the perimeter of the given figure.
Would it be 6?
Click here to see answer by fractalier(6550)

Question 37216: Factor the following polynomials 2x^2-2x-12 and 4x^2-12x+9
Click here to see answer by fractalier(6550)

Question 37619: The problem is : . We have to factor each expression as a trinomial. I found the factors of three : 1 & 3 , but it says in the book that one of the factor pairs has to equal "b" which is supposed to be 5. This doesn't make sense to me.
AJ
Click here to see answer by venugopalramana(3286)

Question 37647: I am having problems trying to solve rational expressions with different denominators I am completely lost as how to solve this problem please help me.Thank you.
x-1 x+4
_____ + ________
x^- x- 12 x^+5x+6
the x^ like that mean that they are to the 2nd power Sorry but when I preview my question it gets jumbled up it should be x-1 over x to the 2nd power subract x subract 12 plus x+4 over x to the 2nd power plus 5x plus 6. Thank you again
Click here to see answer by longjonsilver(2297)

Question 37674: I submitted the following question previously and the answer included this symbol ~, what does this symbol mean within the answer:
and answer was 7t(t~2+1)-5(t~2+1) or (7t-5)(t~2+1)
Click here to see answer by jessicaherndon(6)

Question 37711: rewrite the middle term as the sum of two terms and then factor by grouping
x^2+9x+20
Click here to see answer by checkley71(8403)

Question 37699: can someone please the factor the differences of two squares 2 question, thanks
b^2-144
x^-81

Click here to see answer by checkley71(8403)

Question 37661: 4(x+3)/8x
please answer this question i have been trying to answer it forever

Thank You very Much
Click here to see answer by checkley71(8403)

Question 37710: factor by grouping x^3-5x^2+2x-10
Click here to see answer by benni1013(206)

Question 37698: can someone please check my answers to: factor the sums or differences of two cubes
m^3-n^3
MY ANSWER m^3-n^3=(m-n)(m^3+mn+n^3)
c^3+f^3
MY ANSWER c^3+f^3=(c+f)(c^3-cf-f^3)
Click here to see answer by Alwayscheerful(414)

Question 37709: factor by grouping x^3-3x^2+4x-12
Click here to see answer by Earlsdon(6294)

Question 37774: 2) The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 121 cubic centimeters.
a) Write h as a function of r.
Answer:
b)
Show work in this space.

c) What is the measurement of the height if the radius of the cylinder is 3 centimeters?
Answer:
Show work in this space.

d) Graph this function.
Show graph here.

Click here to see answer by stanbon(75887)

Question 37725: Simplify
(b^c + 7bc - 3)- (12b^c - 2bc + 5)
Click here to see answer by junior403(76)

Question 37789: Find the quadratic equation that has the solutions x=4 and x=-8. Write in the form ____X(squared)+____X+_____=0
Click here to see answer by Earlsdon(6294)

Question 37797: What is x/3x^2+2x-8 times (3x-4)/1?
Click here to see answer by fractalier(6550)

Question 37848: Divide the following fractions:
6p-18/9p divided by 3p-9/p^2+2p
Thank you
Click here to see answer by fractalier(6550)

Question 37845: The volume of the box is represented by (x2 + 5x + 6)(x + 5). Find the polynomial that represents the area of the bottom of the box.
Click here to see answer by fractalier(6550)

Question 37796: What is 8 over 2 plus 3x times 8 plus 12x over 1??
Click here to see answer by fractalier(6550)

Question 37863: Simlify. (x-y/x+y)+(x+y/x-y)
x2-y+xy/x+x3-xy2
Click here to see answer by fractalier(6550)

Question 37864: One person can do a job in 8 hours. A second person can do it in 12 hours. if the first person works 2 hours less than the second, how many hours will it take them working together?
write an algerair solution. let x= length of time first person works and x+2= length of time second works
Click here to see answer by fractalier(6550)

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, 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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