# 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 78150: Please Help me !!!!!!!!!!!!!!! How many pounds of salted nuts selling for \$3.00 per pund should be mixed with 2 pounds of salted buts selling for \$1.60 per pund to obtain a mixture selling for \$2.72 per pound. Thank you in advance for helping me. I truly appreciate your help Click here to see answer by stanbon(57940)

 Question 78149: Please help with this problem. I am unsure about which way to write it Subtract 7x^3-9x^2+5x-3 from 3x^3+3x^2+3 Is the equation like this = (7x^3-9x^2+5x-3)- (3x^3+3x^2+3) or is the equation written like this = (3x^3+3x^2+3) - (7x^3-9x^2+5x-3) Thanks so much for your help. Click here to see answer by stanbon(57940)
 Question 78149: Please help with this problem. I am unsure about which way to write it Subtract 7x^3-9x^2+5x-3 from 3x^3+3x^2+3 Is the equation like this = (7x^3-9x^2+5x-3)- (3x^3+3x^2+3) or is the equation written like this = (3x^3+3x^2+3) - (7x^3-9x^2+5x-3) Thanks so much for your help. Click here to see answer by bucky(2189)

 Question 78158: Factor the following binomial. 25x^2 – 81y^2 Factors: 1,3,5,9,15,25,27,45,75,81,135,225,405,675,2025, -1,-3,-5,-9,-15,-25,-27,-45,-75,-81,-135,-225,-405,-675,-2025, -2025 (-1)*(2025)=-2025 (-3)*(675)=-2025 (-5)*(405)=-2025 (-9)*(225)=-2025 (-15)*(135)=-2025 (-25)*(81)=-2025 (-27)*(75)=-2025 (-45)*(45)=-2025 a=25,m=45, and n=-45 Did the other stuff and do I end up with this or am I wrong? (5x+9y) * (5x-9y) Click here to see answer by Earlsdon(6294)
 Question 78158: Factor the following binomial. 25x^2 – 81y^2 Factors: 1,3,5,9,15,25,27,45,75,81,135,225,405,675,2025, -1,-3,-5,-9,-15,-25,-27,-45,-75,-81,-135,-225,-405,-675,-2025, -2025 (-1)*(2025)=-2025 (-3)*(675)=-2025 (-5)*(405)=-2025 (-9)*(225)=-2025 (-15)*(135)=-2025 (-25)*(81)=-2025 (-27)*(75)=-2025 (-45)*(45)=-2025 a=25,m=45, and n=-45 Did the other stuff and do I end up with this or am I wrong? (5x+9y) * (5x-9y) Click here to see answer by jim_thompson5910(28696)

 Question 78159: Factor polynomial completely. To begin, state which method should be applied as the first step. Then continue and factor polynomial completely. m^4 – 9n^4 Click here to see answer by Earlsdon(6294)

 Question 78169: Hi, I am having trouble entering problems. How do I enter the division line? I am trying to work thru rational expressions. I already tried using the _____ and the ----- to separate the numerator and denominater, but the expression comes out mixed up when I submit. Please help!!! : ) Thank you Click here to see answer by stanbon(57940)

 Question 78168: 2x^-2x/x^2-2x-15 - 2/x+3 +x/5-x Click here to see answer by jim_thompson5910(28696)

 Question 78170: Polynomials p(x)+4 q(x)If P9x)=3x^5+70x^3-67x^2+3 and q(x)=3x^3+56x^2-19 Click here to see answer by jim_thompson5910(28696)

 Question 78206: __6__ ___4____ (2x-3)= (9x-5) Click here to see answer by checkley75(3666)

 Question 78247: Find the following square: (w-1/4)^2 Click here to see answer by checkley75(3666)

 Question 78335: Please help me solve this: I seem to still be having trouble with factoring and this whole topic of solving rational expressions. Click here to see answer by jim_thompson5910(28696)
 Question 78335: Please help me solve this: I seem to still be having trouble with factoring and this whole topic of solving rational expressions. Click here to see answer by rmromero(383)

 Question 78344: Homework example. Please show me how to solve this complex fraction. Thanks! (2/k-1)/(2/k+1) Click here to see answer by rmromero(383)

 Question 78343: Homework example. Please show me how to solve this complex fraction. Thanks! (2/k-1)/(2/k+1) Click here to see answer by rmromero(383)

 Question 78345: Homework example. Please show me how to solve this complex fraction. Thanks! (10x-5y/12)/(2x-y)/6y Click here to see answer by rmromero(383)

 Question 78346: Homework example. Please show me how to solve this complex fraction. Thanks! (3/x-2)+(21/x^2-4)=(14/x+2) Click here to see answer by stanbon(57940)

 Question 78353: Homework example. Please help me understand and show me how to solve this complex fraction. Thanks! 3/x-2 + 21/x^2-4 = 14/x+2 Click here to see answer by ankor@dixie-net.com(15745)

 Question 78356: Can anyone please help?! Determine the following derivatives with respect to theta (th): i) y = ln (2 pi th) ii) y = Sin^-1 (2th) iii) For the curve y = th^3 - 6th^2 + 9th + 24 determine the coordinates of the turning points and state the condition of each turning point. Thanks! Click here to see answer by jim_thompson5910(28696)

 Question 78354: Homework example. Please show me how to solve this complex fraction. Thanks! (10x-5y/12)/(2x-y/6y) Click here to see answer by Earlsdon(6294)

 Question 78368: The area of a rectangle of lenght x is give by 3x^2+5x. Find the width of the rectangle. Click here to see answer by dolly(163)

 Question 78386: Factor a^2(b-c)-16b^2(b-c) Click here to see answer by dolly(163)

 Question 78391: To solve the rational equation below, which step would result? 3/x+1/2= 8/(x+2) I got: 3(x+2) + .5 = 8X Is this correct? Thanks~ Click here to see answer by dolly(163)

 Question 78471: I am trying to study for a test and I can not figure how to do this question. The polynomial f(x) divided x-3 results in a quotient of x^2+3x-5 with a remainder of 2. Find f(3). a. -5 b. -2 c. 2 d. 3 Click here to see answer by jim_thompson5910(28696)

 Question 78489: Hi, I am banging my head on the desk over this one. And to top it off : ( I can't seem to put it in the correct format so that the problem appears as it does in the book. Ugg! I tried using { and () but no go. 1 a- ---------- 2 2- ------ 2- 2/a confusing, I know. Please help me Click here to see answer by stanbon(57940)

 Question 78484: FIND THE remaning zeros OF DEGREE 3; ZEROS: -3,3 -5i Click here to see answer by rmromero(383)

 Question 78496: Factor x^12 - x^4 -x^3 +1 Click here to see answer by Edwin McCravy(8999)

 Question 78516: Factor completely: 2x^2 + 4x - 6 I got: cannot be facored? Thanks~ Click here to see answer by jim_thompson5910(28696)

 Question 78515: If you were to solve x^2 - 5x = 6 by factoring, which step would result? I got: (x+6)(x-1)=0 Thanks~ Click here to see answer by jim_thompson5910(28696)

 Question 78478: ``` I am confused on these type of problems, please help. If f(x)=x(x+3)(x-1), use interval notation to give all values of x where f(x)>0 a. (-3,1) b. (-3,0)È(1,¥) c. (1,3) d. (0,1)È(3,¥)``` Click here to see answer by Edwin McCravy(8999)

 Question 78592: I need help factoring a polynomial please...I can do it with numbers, but the letters through me off. a+a^2b^2+a^3b^3 Thanks for your help. Click here to see answer by checkley75(3666)

 Question 78556: 30x^2+11x-30=0 Click here to see answer by nihon64(5)

 Question 78621: factor the polynomial completely,clearly show the GCF 25x2 + 36y2 My answer is NF Click here to see answer by Edwin McCravy(8999)

 Question 78620: factor the polynomial completely,clearly show GCF 4x^2-16 I went another step and I am not sure weather to factor again after this: (2x - 4)(2x + 4) Click here to see answer by Edwin McCravy(8999)

 Question 78619: solve the following quadratic equation by factoring 15x^3-4x^2-4x=0 Click here to see answer by chitra(359)

 Question 78635: Can you help me with this problem? 3a^2-2a plus 7)plus a^2 -3a-4) my plus sign is not working neither is my left bracket key is working, so I hope you understand my problem. I tried to solve this problem like this: 3a^2-2a plus 7)plus a^2 -3a-4) 2a-2a plus a plus 7) plus a plus a - 3a but as you see I am confused. Your help will be appreciated. Click here to see answer by tutor_paul(490)

 Question 78639: Use grouping to factor each polynomial completely x^3+ax+3a+3x^2 Thank you for your help Click here to see answer by stanbon(57940)

 Question 78666: Science and medicine. The combined resistance of two resistors, R1 and R2 in a parallel circuit is given by the formula. Rt= 1/ 1/R1 + 1/R2 Simplify the formula. Please help me to simplify the formula above. Note: the denominators are 1/R1 + 1/R2 Thank you for helping me. sean32485 Click here to see answer by tutor_paul(490)

 Question 78737: How do you solve d/d+4=d-2/d Click here to see answer by Septimus314(7)

 Question 78520: Factor a^2(b-c)-16b^2(b-c) Click here to see answer by mathdoc314(58)

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, 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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