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

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Question 134911: Can you please help me?
find the variation equation for the variation statement.
z varies jointly as y and the cube of x; z=160 when x=2 and y=-5
Thanks again
Click here to see answer by nycsharkman(136) About Me 
Question 134919: factor this problem
2ax+bx-6ay-3by-bz-2az
Click here to see answer by vleith(2983) About Me 
Question 134912: factor this
15x^2-13xy+2y^2
Click here to see answer by scott8148(6628) About Me 
Question 134913: i'd greatly appreciate help factoring this problem
5a^3b^2+11a^2b^2-36ab^2
Click here to see answer by scott8148(6628) About Me 
Question 134924: Ok this one has completely stumped me: i am only coming up with two answers but the answer in the back of the book says three different answers: HELP!!
4x^3+24x^2+12x-40=0;-2 The problem says use synthetic division to show the number given to the right of the equation is in fact a solution and then solve the polynomial.
Thank you in advance!!
Click here to see answer by scott8148(6628) About Me 
Question 134907: Factor this trinomial.
72-26y+2y^2
Click here to see answer by scott8148(6628) About Me 
Question 134931: Under what situation would one or more solutions of a rational equation be unacceptable?
Click here to see answer by vleith(2983) About Me 
Question 134968: We are having trouble factoring on this problem:
12y^2-24y-72
We took out the 12 and got 12(y^2-2y-6) We can't think of any factors of -6 that would give a -2. Is there a solution, or do you think it was typed incorrectly on the worksheet? Thank you!
PS. This didn't come from a textbook, but from a teacher-created worksheet.
Click here to see answer by vleith(2983) About Me 
Question 134968: We are having trouble factoring on this problem:
12y^2-24y-72
We took out the 12 and got 12(y^2-2y-6) We can't think of any factors of -6 that would give a -2. Is there a solution, or do you think it was typed incorrectly on the worksheet? Thank you!
PS. This didn't come from a textbook, but from a teacher-created worksheet.
Click here to see answer by stanbon(75887) About Me 
Question 134970: Hello again. Just hope to get some help.
Solve the formula for the specified value:
p=2L+2w for w
Thanks again
Click here to see answer by stanbon(75887) About Me 
Question 134975: Can someone help me
Solve the equation:
x/2x+2=-2x/4x+4 + 2x-3/x-1
Thanks
Click here to see answer by stanbon(75887) About Me 
Question 134983: Translate the following problems into algebraic equations :
1- What number is 15% of 108?
2- 16 is what percent of 54?
3- The sum of three consecutive even numbers is 144; what are the numbers?
Click here to see answer by stanbon(75887) About Me 
Question 134983: Translate the following problems into algebraic equations :
1- What number is 15% of 108?
2- 16 is what percent of 54?
3- The sum of three consecutive even numbers is 144; what are the numbers?
Click here to see answer by josmiceli(19441) About Me 
Question 134983: Translate the following problems into algebraic equations :
1- What number is 15% of 108?
2- 16 is what percent of 54?
3- The sum of three consecutive even numbers is 144; what are the numbers?
Click here to see answer by rajagopalan(174) About Me 
Question 135040: Find the LCD:
x^3 over x^2+8x+16 times 3x-10 over x^2+x-12
Click here to see answer by vleith(2983) About Me 
Question 135087: Hello,I was wondering if anyone could help me solve this equation? I'm having trouble with it.
x^2-3x=18 the directions are to solve the equation.
Thank you,
Mrs. Gibson
Click here to see answer by algebrapro18(249) About Me 
Question 135100: Factor this Polynomial.
a^6-a^2b^4
Click here to see answer by checkley77(12844) About Me 
Question 135091: Hello,
I was having trouble solving this equation. The directions state: use factoring to solve the quadratic equation. I have no idea where to start. I'm really struggling with this type of math. Any help would be appreciated. 9x^2=30x-25

Thank you,
Mrs. Gibson
Click here to see answer by checkley77(12844) About Me 
Question 135086:
Hello I am having trouble with this equation could anyone help me figure it out?x^9-3x^8-28x^7
I would really appreciate it!
Thank you,
Mrs. Gibson
Click here to see answer by checkley77(12844) About Me 
Question 135126: How do I solve:

x(squared)+5x=8x+40
Click here to see answer by checkley77(12844) About Me 
Question 135126: How do I solve:

x(squared)+5x=8x+40
Click here to see answer by stanbon(75887) About Me 
Question 135117: May you please help me with this Problem?
the directions say Factor each polynomial if possible. If the polynomial cannot be factored write prime.

a^2-14+36

And another Question how do you know if the polynomial is prime or not?
Click here to see answer by solver91311(24713) About Me 
Question 135204:
8b(3b+7-b)
Click here to see answer by checkley77(12844) About Me 
Question 135041: Simplify completely:
y over x - x over y divided by 2 over y -2 over x
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 135231: How do you determine if a polynomial is the difference
of two squares?
Click here to see answer by solver91311(24713) About Me 
Question 135235: Please help me, if you can.
Find the product:
(x - 4y)( 5x - 9y)
Thank you
Click here to see answer by stanbon(75887) About Me 
Question 135235: Please help me, if you can.
Find the product:
(x - 4y)( 5x - 9y)
Thank you
Click here to see answer by solver91311(24713) About Me 
Question 135236: I need to check my answer.
Simplify the exponential expression.
x^9y^0
Thanks in advance
Click here to see answer by solver91311(24713) About Me 
Question 135239: I think I used the wrong email so I need to try this again.
Simplify the exponential expression.
x^9y^0
Thanks again
Click here to see answer by stanbon(75887) About Me 
Question 135249: can you please help me?
Find functions f and g so that h(x) = (f ∘ g)(x).
h(x)=(square root symbol)59x^2+78
all numbers are under the square root symbol
Thanks in advance
Click here to see answer by solver91311(24713) About Me 
Question 135255: Please clarify the solution for me. Thank you
find the product
(10+7x)^2
I believe it is 100+49x^2 is this correct?
Click here to see answer by Fombitz(32388) About Me 
Question 135263: I tried using the solver but to my dismay did not work
I need to write and factor the trinomial x²-4x but first I need to determine the constant which will be added to the binomial. Will you help me again.
Thank you!
Click here to see answer by stanbon(75887) About Me 
Question 135262: Synthetic division is not as synthetic,
x^3 + 2^x²- 11x -12= 0;-4
Everytime I figure these types of problems I miss them I know I must be missing a step so please help!
Thank you!
Click here to see answer by stanbon(75887) About Me 
Question 135252: Can someone help me please?
Express the interval in set-builder notation and graph the interval on a number line.
[-∞,5/3]
If you can not graph that is ok. Thanks
Click here to see answer by stanbon(75887) About Me 
Question 135101: factor this
25x^2-(2y-7z)^2
Click here to see answer by Fombitz(32388) About Me 
Question 135278: Please help me with this equation-Thank You!
Find a polynomial equation with real coefficients that has the given roots.
3, -9, 3+2i

Click here to see answer by scott8148(6628) About Me 
Question 135278: Please help me with this equation-Thank You!
Find a polynomial equation with real coefficients that has the given roots.
3, -9, 3+2i

Click here to see answer by solver91311(24713) About Me 
Question 135276: Could anyone please help me with this problem? Thank You!
Use Descartes's rule of signs to discuss the possibilities for the roots of the equation. DO NOT solve the equation.
4x^3-9x^2+6x+4=0
Thanks again:)
Click here to see answer by vleith(2983) About Me 
Question 135276: Could anyone please help me with this problem? Thank You!
Use Descartes's rule of signs to discuss the possibilities for the roots of the equation. DO NOT solve the equation.
4x^3-9x^2+6x+4=0
Thanks again:)
Click here to see answer by stanbon(75887) About Me 
Question 135242: Can you please help?
Multiply or divide as indicated.
x^2-5x+6/x^2+x-6 x^2-4/x^2-x-6
Thanks
Click here to see answer by stanbon(75887) About Me 
Question 135321: I have a tough one here, see if you can help me.
Determine the constant that should be added to the binomial so that it becomes a perfect
square trinomial. Then write and factor the trinomial.
^x²-4
Thank you in advance
Click here to see answer by stanbon(75887) About Me 
Question 135359: Could someone please tell me where I am going wrong? I keep getting -21 and -3 but the answer is (-00, -3) and (10, 00). Thank You.
Solve the inequality:
x+21/x+3 <2
Click here to see answer by stanbon(75887) About Me 
Question 135331: Find the GCF in this set.
2x^3, 8x^2y^2,17xy^3
Click here to see answer by checkley77(12844) About Me 
Question 135385: Could you please assist me with this problem?
y=-5 x 3 + 4x^2+6x-7
Click here to see answer by stanbon(75887) About Me 
Question 135387: Please help me with this math question...
f(x)=x^2+2x-1
Thank You....
Click here to see answer by Earlsdon(6294) 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, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 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