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

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Question 1031001: Mary can mow a lawn in 4 hours and Tom can mow the lawn in 5 hours. If Tom works for 2 hours alone, what fractional part of the lawn remains to be mowed?
Answer: 3/5 (How?)
Click here to see answer by fractalier(6550)

Question 1030917: (y^2-25/y^3-125) / (y^2+10y+25/ y^2+5y+25)
Click here to see answer by ewatrrr(24785)

Question 1031078: Macawi, who weighs 108 pounds, is seated 5 feet from the fulcrum of a seesaw. Barbara is seated on the same side of the seesaw, 2 feet farther from the fulcrum than Macawi. Barbara weighs 96 pounds. The seesaw is balanced when Sue, who weighs 101 pounds, sits on the other side. How far is Sue from the fulcrum?
Help would be greatly appreciated thank you :)
Click here to see answer by ikleyn(52750)

Question 1031029: lisa has a square vegetable garden in her backyard. she wants to redesign the garden by increasing its length by 4 and decreasing the width by 3. express the area of the new garden as a trinomial in terms of x
Click here to see answer by josmiceli(19441)

Question 1031187: (7t4−8t3−1)−(−7t4+8t3+1)=
Click here to see answer by Alan3354(69443)

Question 1031275: How do you factor 5x^2+21x+4=0? The AC method has been slightly puzzling me, and I cannot quite figure it out.
Click here to see answer by Alan3354(69443)

Question 1031275: How do you factor 5x^2+21x+4=0? The AC method has been slightly puzzling me, and I cannot quite figure it out.
Click here to see answer by MathTherapy(10549)

Question 1031478: I am to simplify this expression (2x-3y)^2 / (3y-2x)^2
My work is...
(2x-3y)^2 / (3y-2x)^2
=(2x-3y)^2 / [-(2x-3y)]^2
=(2x-3y)^2 / (2x-3y)^2
=-1
What am I doing wrong? My teacher states my answer is incorrect. Please tell me what I am missing. Thank you.
Click here to see answer by Fombitz(32388)

Question 1031469: Please help me with this: 3/4a - 2/3a^ + 3/5a NB: "^" means squared. Sorry, I do not have square sign on my keyboard.
Click here to see answer by Edwin McCravy(20054)

Question 1031482: Why is prime, but isn't? Any tips on how I can tell if a polynomial is prime or not?
Click here to see answer by richard1234(7193)

Question 1031391: Lee and Rena sit on opposite ends of a 12-foot teeter-totter. Lee weighs 108 pounds and Rena weighs 108 pounds. Where should the fulcrum be placed in order for the teeter-totter to be balanced?
Click here to see answer by Fombitz(32388)

Question 1031518: Find a polynomial equation with integral coefficients that has the given numbers as solutions and the indicated degree.
2, 6, −3; degree 3
Please help me solve, thank you
Click here to see answer by fractalier(6550)

Question 1031517: Use synthetic division to show that g(x) is a factor of f(x), and complete the factorization of f(x).
g(x) = x − 1, f(x) = x3 − 6x2 − 9x + 14
Please help me solve. Thank you.
Click here to see answer by josgarithmetic(39613)

Question 1030821: what is the coefficient of the x^2y in the expression of (x+2y)^3 binomial
Click here to see answer by Fombitz(32388)

Question 1031689: Let f(x) = x^4-3x^2 + 2 and g(x) = 2x^4 - 6x^2 + 2x -1. Let a be a constant. What is the largest possible degree of f(x) + a\cdot g(x)?
Click here to see answer by Edwin McCravy(20054)

Question 1031691: What is the coefficient of x in (x^4 + x^3 + x^2 + x + 1)^4?
Click here to see answer by Edwin McCravy(20054)

Question 1031697: Let f(x) = x^4-3x^2 + 2 and g(x) = 2x^4 - 6x^2 + 2x -1. Let b be a constant. What is the smallest possible degree of the polynomial f(x) + b\cdot g(x)?
Click here to see answer by Edwin McCravy(20054)

Question 1031692: What is the coefficient of x^3 in this expression?
(x^4 + x^3 + x^2 + x + 1)^4
Click here to see answer by Edwin McCravy(20054)

Question 1031736: If the polynomial Q(x) = x^2+ax+1 is a factor of the polynomial P(x) = 2x^3 -16x+b, find the possible values of a and b.
Thanks
Click here to see answer by josgarithmetic(39613)

Question 1031739: D2+6d+8
Click here to see answer by ikleyn(52750)

Question 1031717: 2. Find the difference. (9x + 2x2 � 4) � (x + 1) (show work)
Click here to see answer by Fombitz(32388)

Question 1031810: ((x^2-3x+2)/(x+2))X((3x)/(x-2))X((2x+4)/(5x^2-5x))
Click here to see answer by mananth(16946)

Question 1031810: ((x^2-3x+2)/(x+2))X((3x)/(x-2))X((2x+4)/(5x^2-5x))
Click here to see answer by MathTherapy(10549)

Question 1031883: What 2 numbers muliply to get -70 and add to get -33
Click here to see answer by stanbon(75887)

Question 1031883: What 2 numbers muliply to get -70 and add to get -33
Click here to see answer by mananth(16946)

Question 1031883: What 2 numbers muliply to get -70 and add to get -33
Click here to see answer by MathTherapy(10549)

Question 1031884: The polynomial f(x) has degree 3. If f(-1) = 15, f(0)= 0, f(1) = -5, and f(2) = 12, then what are the x-intercepts of the graph of f?
Click here to see answer by stanbon(75887)

Question 1031887: Solving equations by factoring:
The equation is (2x-3)(3x-8)=0
Click here to see answer by stanbon(75887)

Question 1031901: Solving equations by factoring:
3z�=12z
I know the answer is {0,4} from the back of the book
I'm just not sure how to get it.
Click here to see answer by mananth(16946)

Question 1031901: Solving equations by factoring:
3z�=12z
I know the answer is {0,4} from the back of the book
I'm just not sure how to get it.
Click here to see answer by addingup(3677)

Question 1031907: Solving equations by factoring:
m�-24m=-144
Click here to see answer by Alan3354(69443)

Question 1031860: Suppose f is a polynomial such that f(0) = 47, f(1) = 32, f(2) = -13, and f(3)=16. What is the sum of the coefficients of f?
Click here to see answer by ikleyn(52750)

Question 1031975: Write an integer polynomial equation (not in factored form) of lowest degree that has zeros: 2, -3, square root 2, - square root 2
Click here to see answer by ikleyn(52750)

Question 1032132: If one of the zero of the quadratic polynomial f(x) = 3x2 � 20x + 3p + 4 is four times the other, find the value of p.

Click here to see answer by robertb(5830)

Question 1032210: list the coefficient of x^2 the numbers across the top are -5x and +1 the numbers on the side are 9x and -7 every time i multiply them and put them in the chart it says i'm wrong
Click here to see answer by rothauserc(4718)

Question 1032216: multiplying polynomials the problem states fill in the chart then list the coefficient of the X^2 term the graph shows -5x and +1 on the top the side of the graph shows 9x and -7 I know to put the top and side in this form () and multiply them it says i'm wrong
Click here to see answer by josgarithmetic(39613)

Question 1032204: Write a polynomial function P(x) with rational coefficients so that P(x)=0 has the given roots.
1. -6,3, and -15i
2. 4+√5 and 8i
Click here to see answer by stanbon(75887)

Question 1032184: is this a trinomial a trinomial square?
x^2+14x+49
Click here to see answer by Alan3354(69443)

Question 1032184: is this a trinomial a trinomial square?
x^2+14x+49
Click here to see answer by ikleyn(52750)

Question 1032184: is this a trinomial a trinomial square?
x^2+14x+49
Click here to see answer by robertb(5830)

Question 1032298: Find all real solutions x to 4^x - 2^x = 56.
Thank you!
Click here to see answer by ikleyn(52750)

Question 1032389: on dividing p(x)= 9x raise to power 4 minus 4x square plus 4 by g(x)=3x square plus x minus 1 the remainder is ax-b find a and b
Click here to see answer by Alan3354(69443)

Question 1032398: Use the formula A=P(1+r/n)^nt to find the total amount of money accumulated at the end of the indicated time period for the following investment. (Objective 2. Round your answer to the nearest cent.)

$1200 for 5 years at 8% compounded quarterly
Please help me solve. I'm getting 1785.66 but its telling me I'm wrong. Thank you!
Click here to see answer by josmiceli(19441)

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