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

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 Algebra: Polynomials, rational expressions and equations Solvers Lessons Answers archive Quiz In Depth

 Question 77691: How do you find equations for polynomials when only given their graphs?? Click here to see answer by jim_thompson5910(28504)

 Question 77747: Explain how you could solve the linear inequality x^3 - x^2 - 6x >= 0 Hint: Factor the left hand side completely (you should have three factors) and use the same method for solving a quadratic inequality by making a table. Click here to see answer by stanbon(57250)

 Question 77749: I need help on simplifying rational expressions, the problem is 24xsquaredycubed ______________ 8xy Thank You! Click here to see answer by stanbon(57250)

 Question 77746: Given a quadratic equation y = ax2 + bx + c, what is the effect of increasing the value of a on the parabola? What is the effect of decreasing the value a toward 0 on the parabola? Click here to see answer by stanbon(57250)

 Question 77745: Given a quadratic equation y = ax2 + bx + c, what is the effect of changing the value of the number c on the parabola? In other word, if two parabolas have the same coefficients a, and b, but different values for c, how will they differ? Click here to see answer by stanbon(57250)

 Question 77735: Perform the indicated divisions. 8x^3 -6x^2 + 2x / 4x +1 This is what I got is it right? 2x^2 - 2x + 1 Click here to see answer by stanbon(57250)
 Question 77735: Perform the indicated divisions. 8x^3 -6x^2 + 2x / 4x +1 This is what I got is it right? 2x^2 - 2x + 1 Click here to see answer by Earlsdon(6287)

 Question 77704: can some help me figure this out? Together John, Tina and Chris together completes the yard in 1 hour and 20 minutes. To do it alone John will need twice the time that Tina needs and two hours more than Chris. how long would it take each to complete the job working alone? Click here to see answer by scott8148(6628)

 Question 77703: help me please? Together John, Tina and Chris together completes the yard in 1 hour and 20 minutes. To do it alone John will need twice the time that Tina needs and two hours more than Chris. how long would it take each to complete the job working alone? Click here to see answer by scott8148(6628)

 Question 77833: factor the polynomial completely,clearly show the GCF 45x^4y^2-75x^3y+30xy^4 Click here to see answer by uma(370)

 Question 77835: factor the polynomial completely,clearly show the GCF x^2+x+12 This is the answer I got from atempting this problem:: NF (Not factorable) Click here to see answer by uma(370)

 Question 77834: factor the polynomial completely,clearly show the GCF -100x^2y^3-50x^3y^4+150x^2y^2 This is the answer that I got but I am not sure if it is correct. -50x^2y^2(2y+xy^2-3) Click here to see answer by uma(370)

 Question 77908: Differentiate the following functions with respect to t: i) y = 2t^2. Cos(t) ii) y = Cos(t)/Sin(t) iii) y = e^pi t - e^-pi t Thanks! Click here to see answer by Edwin McCravy(8882)

 Question 77919: I really need help with the following problem. Thank you! Science and Medicine: Find the time required for an object to fall to the ground from a building that is 1400 ft. high. Show thew formula and solve. Click here to see answer by Earlsdon(6287)
 Question 77919: I really need help with the following problem. Thank you! Science and Medicine: Find the time required for an object to fall to the ground from a building that is 1400 ft. high. Show thew formula and solve. Click here to see answer by bucky(2189)

 Question 77884: Solve and check the following equation for x. x/x-2 – x+1/x = 8/x^2 – 2x Click here to see answer by ankor@dixie-net.com(15639)

 Question 77972: c..ex... Problem #22 Solve -9(x-3)^2 = -7 Problem #33 Solve by completeing the square 2x^2-4x-11=0 Click here to see answer by jim_thompson5910(28504)

 Question 77994: 5. solve. find 2 consecutive intergers whose sum is square of 7. Click here to see answer by stanbon(57250)

 Question 77996: Please help me solve this equation: (15x^3-10x^2) over (3x^2-5x+2) I have no idea how to solve this so I can't provide any work that proves that I have tried doing it. Click here to see answer by stanbon(57250)
 Question 77996: Please help me solve this equation: (15x^3-10x^2) over (3x^2-5x+2) I have no idea how to solve this so I can't provide any work that proves that I have tried doing it. Click here to see answer by jim_thompson5910(28504)

 Question 77995: 5. find 3 consecutive odd integers such that twice the smallest is 3 more than the greatest integer. Click here to see answer by ankor@dixie-net.com(15639)

 Question 77979: ok i have all the multiplying,and dividing fractions that look like this (24r^s^) x (21s) ______ ___ = ???? (3s) ---- (r) And i cant find any sites that will help me with them. also i have dividing a polynomia by a monomial, Whats a monomial?, and solving fractional equations that have to have answers like x=24 or u=3. i am completely stumped and in danger of failing the eight grade. plz help me i really want to go to high school. thank you for you time and plz try your best to help me Click here to see answer by jim_thompson5910(28504)

 Question 78021: I need help solving: x(x+2)(x+4)=315 i know the answer, i just have to figure out how to get there other than trial and error. Click here to see answer by jim_thompson5910(28504)

 Question 78024: 1. (2x-3)(x+6) = (x-9)(x+2) 2. Solve and check (2x+3)(2x^2-5x-3) = 0 Click here to see answer by jim_thompson5910(28504)

 Question 78064: solve by factor completing the square x^2 - 8x+10=0 x^2 - 8x= -10 (8/2)^2= 64/4= 16 x^2 - 8x + 16=-10 +16 what else to do after this step? Click here to see answer by jim_thompson5910(28504)

 Question 78077: D..ex I have no idea on how to do these types of problems Problem #7 Solve by completing the square x^2=5x+2 Problem #8 Find the x-intercepts y= x^2+5x+2 Problem #9 Is this a trinomial a perfect square? Explain why or why not. x^2+18x+81 Click here to see answer by jim_thompson5910(28504)

 Question 78101: Factor the polynomial completely,clearly show the GCF. 2x^3+2x^2-12x I got this far... 2x^3+2x^2-12x 2x(x^2+2x-6) 2x(x+ )(x- ) Now im having problems... Click here to see answer by chitra(359)

 Question 78116: Factor the polynomial completely,clearly show the GCF. 81x^4-16 I got this... (9x^2-4)(9x^2-4) (3x-2)(3x+2)(3x-2)(3x+2) Click here to see answer by 303795(595)

 Question 78102: Factor the polynomial completely,clearly show the GCF. -3x^2-15x-18 I was able to factor it down to -3(x^2+5x+6) Then I cant seem to get an answer from here Click here to see answer by 303795(595)

 Question 78104: Factor the polynomial completely,clearly show the GCF. -x^2+10x-24 Click here to see answer by 303795(595)

 Question 78115: Factor the polynomial completely,clearly show the GCF. 6x^2-15x-21 Click here to see answer by Earlsdon(6287)

 Question 78100: Here we go again,I am stuck on this homework. Im sorta confused. Factor the polynomial completely,clearly show the GCF. x^2-5x+24 Click here to see answer by 303795(595)

 Question 78103: Factor the polynomial completely,clearly show the GCF. 12x^2-4x-5 Click here to see answer by 303795(595)
 Question 78103: Factor the polynomial completely,clearly show the GCF. 12x^2-4x-5 Click here to see answer by jim_thompson5910(28504)

 Question 78114: Factor the polynomials completely,Show the GCF 25x^2+36y^2 I got.. (5x+6y)(5x+6y) Click here to see answer by Earlsdon(6287)

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