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

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Question 85273: factor 3a^2(a-b)-6a(a-b)+21(a-b)
A) 3(a-b)(a^2-2a+7)
B) (3a-b)(a^2-2a+7)
C) (a-b)(3a^2-6a+21)
D) 3(a-b)(a^2-6a+21)

Click here to see answer by stanbon(57337) About Me 

Question 85344: Please help me multiply and dividing real numbers
9- (-2)(-7)

Click here to see answer by checkley75(3666) About Me 

Question 85401: problem is to find all numbers for which each rational expression is undefined. If the rational expression is defined for all real numbers, it says, so state.
x+3 over(x-2)(x+5)
7 over X^2 + 81 this one is also in fraction form

Click here to see answer by bucky(2189) About Me 
Question 85401: problem is to find all numbers for which each rational expression is undefined. If the rational expression is defined for all real numbers, it says, so state.
x+3 over(x-2)(x+5)
7 over X^2 + 81 this one is also in fraction form

Click here to see answer by scianci(186) About Me 

Question 85369: (3*10^12)(9*10(-5))
Click here to see answer by scianci(186) About Me 

Question 85318: (-v^3-v^2-1)- (v^4-v^2-v-1)+(v^3-3v^2+6)
How to preform this operation ?

Click here to see answer by scianci(186) About Me 

Question 85271: list the terms and coefficients
8x^3-4x^2+3

Click here to see answer by scianci(186) About Me 

Question 85270: divide
x^3+2x^2+x+12
over
x+3
A) x^2+x-4
B) X^2-x-4
C) X^2-x+4
D) X^+x+4

Click here to see answer by scianci(186) About Me 

Question 85148: factor
3a^2(a-b)-6a(a-b)+21(a-b)

Click here to see answer by rapaljer(4667) About Me 

Question 85133: which of the following is not a polynomial?
24
4x^3+5x-1
2x-1/x
3xy^2+xy

Click here to see answer by scianci(186) About Me 

Question 85118: 4%2F%28x%2B1%29 = 3%2F%28x-2%29
Click here to see answer by scianci(186) About Me 

Question 85465: Hi wondering if someone can solve these problems:These are multiplying and dividing rational expressions.
y^2-2y+1 over y^2 -1 times 2y^2 + y-1 over 5y -5
and another one
8x + 8y over x^2 divided by x^2-y^2 over x^2
thanks for any help you can offer

Click here to see answer by Earlsdon(6287) About Me 

Question 85448: 2x+4y/x
___________
y/3x^2+1/6

Click here to see answer by ankor@dixie-net.com(15650) About Me 

Question 85485: Can you help me on this problem?
2x + -2x = 0 Or is it 2x? I cam up with 0, because the two's cancel eachother out.

Click here to see answer by stanbon(57337) About Me 

Question 85482: I'm confused about Negative exponents & Scientific Notation. My book shows a positive exponent moving the decimal point to the right but the arrows are pointing left and it says the negative exponent moves the decimal point left however, it shows the arrow moving right.
Example: 120,000. = 1.2 x 10(the power is 5.)Then under the 120,000 the arrows
<-----
(5 places)
are moving to the left. Can you help me understand this please?

Click here to see answer by stanbon(57337) About Me 

Question 85039: Multiply write the answer in scientific notation
(2.4x10^5)(4x10^-4)

Click here to see answer by checkley75(3666) About Me 

Question 85561: evaluate |-35|
Click here to see answer by bucky(2189) About Me 

Question 85565: divide y^12/y^2 it is a fraction
Click here to see answer by jim_thompson5910(28595) About Me 

Question 85567: If a 4.4 pound of dog food costs $3.52, what is the cost per pound?
Click here to see answer by jim_thompson5910(28595) About Me 

Question 85564: evaluate (-4)(8)-18
Click here to see answer by jim_thompson5910(28595) About Me 

Question 85566: list the terms of the following exprissions
5q^2-q+9

Click here to see answer by jim_thompson5910(28595) About Me 

Question 85053: list the terms and coefficients
8x^3-4x^2+2

Click here to see answer by jim_thompson5910(28595) About Me 

Question 85585: adding and subtracting rational expressions.
8x-5 over 3x-1 + 4x+1 over 3x-1
a subtraction one
x+5 over x-3 - x over 3-x

Click here to see answer by stanbon(57337) About Me 

Question 85586: this problem is asking to solve and check for x, i do not understand, please help
x/6-x/8=1
please

Click here to see answer by stanbon(57337) About Me 

Question 85626: I am trying to solve this word problem;
If one-half of are integer subtracted from three fifths of the next consecutive integer, the difference is 3.
I wrote this expression like this? 1/2 x-3/5 x-3=
and the two integers are 9, 31 is this correct and am I on the right track?

Click here to see answer by stanbon(57337) About Me 

Question 85631: I have a complex fraction, but I think I understand. please tell me.
w+3/4w
______
w-3/2w
I am being asked to solve, this is what I have
=w+3/4w x 2w/w-3=6w/-12w.
is this correct?

Click here to see answer by stanbon(57337) About Me 

Question 85641: This word problem consists of combining resistance of two resistors
R^1 and R^2 in a parallel circuit is given by the formula
R^T=1/[1/R^1+1/R^2]
this is asking to simplify the formula
not sure how to do this a little lost.

Click here to see answer by stanbon(57337) About Me 

Question 85657: %288z%5E3-6z%5E2-5z%2B3%29%2F%284z%2B3%29
thank you!!!!

Click here to see answer by scianci(186) About Me 

Question 85666: Hi I need to solve and check the equations for x:
x/x-2-x+1/x=8/x^2-2x
x%2F%28x+-+2%29 - %28x+%2B+1%29%2Fx = 8%2F%28x%5E2+-+2x%29
Can someone please help me with this??

Click here to see answer by scianci(186) About Me 

Question 85668: 2/5=x-2/20 Solve for x..How am I supposed to do this? I am so confused.
Click here to see answer by ankor@dixie-net.com(15650) About Me 

Question 85658: %288m%5E3-18m%5E2%2B37m-13%29%2F%282m%5E2-3m%2B6%29
Thank you

Click here to see answer by Nate(3500) About Me 

Question 85672: Subtract the following
5
over
X^2-16
-
3
over
X^2-x-12
5%2F%28x%5E2+-+16%29 - 3%2F%28x%5E2+-+x+-+12%29

Click here to see answer by scianci(186) About Me 

Question 85667: How do I solve and check for x with the following equation?:
5/x+6+2/x^2+7x+6=3/x+1

Click here to see answer by Nate(3500) About Me 

Question 85589: i need help on factoring this problem completely.
6x^-15x^4-36x^3

Click here to see answer by checkley75(3666) About Me 

Question 85748: Dividing Polynomials
x^3 - x + 6 divided by x - 2


please help me if you can

Click here to see answer by scianci(186) About Me 

Question 85747: Dividing Polynomials
4x^3 - 12x^2 + 7x + 4 divided by 2x - 1
please help me if you can

Click here to see answer by scianci(186) About Me 

Question 85754: Dividing Polynomials: synthetic
3x^4 - 8x^2 + 7 divided by x - 2
please help me if you can

Click here to see answer by Nate(3500) About Me 

Question 85752: Dividing Polynomials : synthetic division

x^4 - 6x^3 + 2x - 4 divided by x -3

please help me if you can

Click here to see answer by Nate(3500) About Me 

Question 85753: Dividing Polynomials: synthetic

2x^4 - 10x^2 + 6x - 8 divided by x + 3
please help me if you can

Click here to see answer by jim_thompson5910(28595) About Me 

Question 85751: 2x^4 - 8x^2 + 6 divided by 2x + 2
Click here to see answer by jim_thompson5910(28595) About Me 

Question 85854: How do I factor the difference of two squares?
Click here to see answer by Earlsdon(6287) About Me 

Question 85927: what two numbers have a product of 48 and a sum of 24.
Click here to see answer by bucky(2189) About Me 

Question 86008: What values for x must be excluded in the following fraction: 9/x-8...My answer is 0 am I right?
Click here to see answer by tutor_paul(490) About Me 

Question 86004: Subtract and express answer in simplest form: 5x/26-2x/13 Can someone help me with this? Thanks ;0)
Click here to see answer by tutor_paul(490) 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