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

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Question 63705: Instructions: Find each factor for each polynomial.
What is the solution for 2x^3+14x^2+24x

Click here to see answer by sarahschober(35) About Me 

Question 63703: Instructions: Find one factor for each polynomial.
What is the solution for -18x^3+72x

Click here to see answer by sarahschober(35) About Me 

Question 63707: Instructions: Find one factor for each polynomial.
What is the solution for 6x^2-23x+15

Click here to see answer by sarahschober(35) About Me 

Question 63718: Factor completely:
2ax^2 - 6ax -2a

Click here to see answer by checkley71(8403) About Me 

Question 63720: Solve for m:
m^2 - 8m + 12=0

Click here to see answer by checkley71(8403) About Me 

Question 63719: Factor Completely
-4b^2-3b+10

Click here to see answer by checkley71(8403) About Me 

Question 63717: Find the quotient: i've tried this one several times. Help!
(8x^3-10x^2-x+3) divided by (2x + 1)

Click here to see answer by checkley71(8403) About Me 

Question 63722: Perform the indicated operation:
8 / x^2 + 6x - 3 / x^2 + 4x - 12

Click here to see answer by chitra(359) About Me 

Question 63721: Multiply and reduce to lowest terms:
2x^2 + 13x + 20 / x^2 + x - 12 * x^2 + 2x - 15 / 2x^2 + 7x + 5

Click here to see answer by stanbon(57424) About Me 

Question 63748: Please help me solve this:
Find the remaining zeros of the complex polynomial whose coefficients are real numbers and the following information is given:
Degree 4; zeros i, 1+i

Click here to see answer by stanbon(57424) About Me 

Question 63749: Please help me:
Find the zeros of the following functions:
f(x)=x^4+6x^3+11X^2+12x+18

Click here to see answer by stanbon(57424) About Me 

Question 63772: Please help me factor completely. Thanks!
49r^2+81s^2

Click here to see answer by Earlsdon(6291) About Me 

Question 63775: Please help me factor the polynomial. Thanks
49r^2+81s^2

Click here to see answer by checkley71(8403) About Me 

Question 63774: Please help me factor the polynomial. Thanks
3a^2-12a+12

Click here to see answer by checkley71(8403) About Me 

Question 63769: Please help me factor completely. Thanks!
-8x^2+28x-12

Click here to see answer by praseenakos@yahoo.com(507) About Me 

Question 63785: 4r+2c= 84 if r+c=30
Click here to see answer by tanimachatterjee(60) About Me 

Question 63773: I need to learn how to factor each polynomial completely, Can someone help me. Thanks
6m^2-19mn+10^2

Click here to see answer by tanimachatterjee(60) About Me 

Question 63771: Please help me factor completely. Thanks!
3a^2-12a+12

Click here to see answer by tanimachatterjee(60) About Me 

Question 63826: Please help factor completely. thanks!
-36a^2+24a-4

Click here to see answer by faceoff57(82) About Me 

Question 63835: Please show me how to factor completely.
2a^3b^2+2a^2b+ba^2b^3

Click here to see answer by stanbon(57424) About Me 

Question 63843: Find the dimensions of a rectangle whose perimeter is 46 meters and whose area is 126 meters
Click here to see answer by praseenakos@yahoo.com(507) About Me 

Question 63825: Please help factor completely. thanks!
X^2-9X+24

Click here to see answer by checkley71(8403) About Me 

Question 63889: Please help me solve this problem:
Find the zeros of the following functions:
f(x)=4x^3-4x^2-7x-2

Click here to see answer by niraj_khand(1) About Me 

Question 63892: x^2-12x-45=0
Click here to see answer by stanbon(57424) About Me 
Question 63892: x^2-12x-45=0
Click here to see answer by rahman(247) About Me 

Question 63890: Need help....please.
Use Descartes Rule to determine how many positive and negative zeros.
Do not need to find the zeros.
f(x)= -6x^5+x^4+5x^3+x+1

Click here to see answer by Edwin McCravy(8924) About Me 
Question 63890: Need help....please.
Use Descartes Rule to determine how many positive and negative zeros.
Do not need to find the zeros.
f(x)= -6x^5+x^4+5x^3+x+1

Click here to see answer by stanbon(57424) About Me 
Question 63890: Need help....please.
Use Descartes Rule to determine how many positive and negative zeros.
Do not need to find the zeros.
f(x)= -6x^5+x^4+5x^3+x+1

Click here to see answer by venugopalramana(3286) About Me 

Question 63897: Determine whether the following trinomial is a perfect square (yes/no). If it is, then factor the trinomial
x^2 – 24x + 48

Click here to see answer by stanbon(57424) About Me 

Question 63905: Find a value of k so that
9m^2 – kn^2
will have the factors 3m + 7n and 3m – 7n

Click here to see answer by stanbon(57424) About Me 

Question 63904: Factor the following polynomial completely by factoring out any common factors and then factor by grouping. Do not combine like terms:
3a^3 + 3ab^2 + 2a^2b + 2b^3

Click here to see answer by stanbon(57424) About Me 

Question 63901: Factor the polynomial completely. To begin, state which method should be applied as the first step (e.g. GCF, grouping, difference of two squares, etc), given the guidelines of this section. Then continue the exercise and factor the polynomial:
m^4 – 9n^4

Click here to see answer by venugopalramana(3286) About Me 

Question 63920: m^2-8m+15=0
Click here to see answer by rahman(247) About Me 
Question 63920: m^2-8m+15=0
Click here to see answer by praseenakos@yahoo.com(507) About Me 

Question 63900: Factor the polynomial completely. To begin, state which method should be applied as the first step (e.g. GCF, grouping, difference of two squares, etc), given the guidelines of this section. Then continue the exercise and factor the polynomial:
2p – 6q + pq – 3q^2

Click here to see answer by tanimachatterjee(60) About Me 

Question 63898: If the sides of a square are increased by 3 inches, th area is increased by 39 in^2. What are the dimensions of the original square?
Click here to see answer by rahman(247) About Me 

Question 63816: i dont get this problem ? x(squared)+9 is less than or equal to zero
Click here to see answer by joyofmath(189) About Me 

Question 63896: The area of a rectangle of length x is given by 3x2 + 5x. Find the width of the rectangle (This requires knowledge of the formula for area of a rectangle)???
Click here to see answer by checkley71(8403) About Me 

Question 63973: hello
how do i factor this polynomial completely:
2x^2 - 8
thank you!

Click here to see answer by funmath(2925) About Me 

Question 63972: hello
how do you factor this polynomial?
x^2 - 20x + 100
thank you!

Click here to see answer by funmath(2925) About Me 

Question 63971: hello,
how would you factor each polynomial:
a) x^2 - 100
b) 4y^2 - 49
thank you!

Click here to see answer by funmath(2925) About Me 

Question 63968: hello,
how would i factor out the gratest common factor in this expression:
x ^3 - 5x
thank you!

Click here to see answer by checkley71(8403) About Me 
Question 63968: hello,
how would i factor out the gratest common factor in this expression:
x ^3 - 5x
thank you!

Click here to see answer by tutorcecilia(2152) About Me 

Question 63967: Hello,
which would be the greatest common factor for each goup of terms for :
a) 48 , 36x
b) 9wx, 21wy, 15xy
thank you.

Click here to see answer by tutorcecilia(2152) About Me 

Question 64064: (x^-4y^6)^-4
Click here to see answer by stanbon(57424) About Me 

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