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

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

Question 110064: (-6x(squared)+14x)-(-3x(squared)+5x)
Click here to see answer by bucky(2189)

Question 110012: the sum of the squares of two consecutive positive even integers is 340. find the integers.
Click here to see answer by bucky(2189)

Question 110103: (x)/(x^2+9x+20) - (4)/(x^2+7x+12) I am having trouble with this problem.
Thanks for any help
Rhee
Click here to see answer by MathLover1(20849)

Question 110061: A rectangular room is 14 feet narrower than its length. If 392 square feet of carpet is needed to cover the entire room, what is the length of the room?
Click here to see answer by elima(1433)

Question 110116: I would appreciate your help on factoring these polynomials.could you show me how they are suppose to look on my paper?
1)2x^2+2x-8
2)-7a^6+10a^4-14a^2
3)6x^8+12x^6-24x^4+30x^2
I have a hard time knowing how to set them up on paper.Even though we don't have to turn in our homework,I still need to know what I'm doing for the test.My next test is in a couple of days,so I could really benefit from your help.Thank you in advance for giving your time to students like me who are struggling to understand the concepts.
Sincerely,LH
Click here to see answer by stanbon(75887)

Question 110113: Multiply 4xy^3*2x^y*5xy^

4xy^3*4xy*5xy^ = 80xy^5

Double check my work.
Click here to see answer by MathLover1(20849)

Question 110011: I am trying to simplify the following:
(x^2)^5 * x / x^3
I got to this:
x^2.5 / x^3 * x / x^3 = x^10 / x^3 * x / x^3
Now I am stumped.
Click here to see answer by edjones(8007)

Question 110193: what is the 2 factors of 72 when added together equal 6
Click here to see answer by checkley71(8403)

Question 110102: (9x+3)/(x^2-9) - (5)/(x-3) Any help with this problem would be appreciated.
Thanks Rhee
Click here to see answer by scott8148(6628)

Question 110100: (x^2+4x)/(x^2+6x+8) times (x^2-4)/(x) This is the problem I am having trouble on I will be thankful for any help>
Rhee
Click here to see answer by scott8148(6628)

Question 110204: Determine whether sqrt49/100 is rational or irrational.
Can anyone help me with the steps to figure this out? Thank you!
Click here to see answer by edjones(8007)

Question 110211: Can someone help me solve this. I have to factor trinomials using the AC method.
20x^2-20x-15
Click here to see answer by jim_thompson5910(35256)

Question 110211: Can someone help me solve this. I have to factor trinomials using the AC method.
20x^2-20x-15
Click here to see answer by scott8148(6628)

Question 110316: Factoring a quadratic wit leading coefficient greaer than 1

Click here to see answer by wgunther(43)

Question 110316: Factoring a quadratic wit leading coefficient greaer than 1

Click here to see answer by solver91311(24713)

Question 110316: Factoring a quadratic wit leading coefficient greaer than 1

Click here to see answer by jayanthihemkos@yahoo.com(87)

Question 110323: Simpify the expression.
(2n cubed m squared) cubed (mn cubed) squared
Click here to see answer by praseenakos@yahoo.com(507)

Question 110327: Factor completely.
z squared + 2z - 8
Click here to see answer by josmiceli(19441)

Question 110325: Factor completely
8x cubed - 1
Click here to see answer by praseenakos@yahoo.com(507)

Question 110326: Factor completely
k squared + 4
Click here to see answer by stanbon(75887)

Question 110324: Factor completely.
t^6-20t^3+100

Click here to see answer by stanbon(75887)

Question 110405: I can not get this one to come out right. Please help.
Factor.
-12x^3+36x^2

Thanks!
Click here to see answer by Edwin McCravy(20054)

Question 110405: I can not get this one to come out right. Please help.
Factor.
-12x^3+36x^2

Thanks!
Click here to see answer by edjones(8007)

Question 110400: I can not get this one to come out right. Can you help?
Factor.
-12x^3+36x^2
Thank you so much!
Click here to see answer by solver91311(24713)

Question 110521: Would you please help me with this problem ;0).
x over x-2, subtract x+1 over x = 8 over x^2-2x
I think the LCD is x^2-2x. I am lost from here. Thank you for your help.
Click here to see answer by stanbon(75887)

Question 110610: i would really appriciate help with this problem sqrt(243)/sqrt(3)
so far i have 9sqrt3 times sqrt(3)/sqrt(3) times sqrt(3)
what i dont get is how to multiply the top part

thank you
Click here to see answer by stanbon(75887)

Question 110628: Factor completely.
8x^3-1
Click here to see answer by tsukushi06(1)

Question 110629: Factor completely.
2b^2 + 200
Click here to see answer by jayanthihemkos@yahoo.com(87)

Question 110626: Solve the proportion.
k/28=8/63
Click here to see answer by bucky(2189)

Question 110674: Hi this is my problem:
Find all real and imaginary roots:
x^4+3x^3+x^2+4=0
Thank You!
Click here to see answer by jim_thompson5910(35256)

Question 110627: Factor Completely.
64x^2-1
Click here to see answer by scott8148(6628)

Question 110625: Factor completely.
125y^3 + z^3
Click here to see answer by stanbon(75887)

Question 110614: If f(x)= sqrt{64(x-7)^2} , find a simplified form for f(x)
Click here to see answer by stanbon(75887)

Question 110614: If f(x)= sqrt{64(x-7)^2} , find a simplified form for f(x)
Click here to see answer by Fombitz(32388)

Question 110624: Solve the equation.
3/x+3/x-5=3x-12/x-5
Click here to see answer by solver91311(24713)

Question 110701: What expression raised to the fourth power is 81x12y8z16?
Click here to see answer by solver91311(24713)

Question 110712: If you believe that a polynomial is not factorable, label it as prime.
Factor completely:
4x^2�36y^2

Click here to see answer by solver91311(24713)

Question 110710: you believe that a polynomial is not factorable, label it as prime.
Factor completely:
24x2 + 10x � 4

Click here to see answer by Earlsdon(6294)

Question 110731: Show all stages of factoring separately.
Factor completely:
3x2 � 2x � 8
Click here to see answer by jim_thompson5910(35256)

Question 110729: Show all stages of factoring separately.
Factor completely:
x2 � 5x � 14

Click here to see answer by stanbon(75887)

Question 110708: Factor completely:
x2 � 6wy + 3xy � 2wx

Click here to see answer by stanbon(75887)

Question 110707: Show all stages of factoring separately (i.e., show the result of factoring out a GCF before taking the resulting polynomial and factoring it again).
Factor completely:
x3 � 26x2 + 48x

Click here to see answer by stanbon(75887)

Question 110781: Reduce the expression
13-k/k-13
Click here to see answer by edjones(8007)

Question 110780: Factor out the greatest common factor
30x^4 - 48x^2 +15x

Click here to see answer by stanbon(75887)

Question 110782: Simplify
18r^2t^15/12rt^12
Click here to see answer by stanbon(75887)

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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, 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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