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

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

Question 231447: How do you write a polynomial expression with a leading coefficient of one and that has zeros of two(multiplicity of two) and imaginary number
Click here to see answer by rapaljer(4667)

Question 231450: I have been trying for 3 hours to solve this equation.I really need help!
1/x^2-25- 4/x-5= 2/x+5
Click here to see answer by stanbon(57387)

Question 231451: I have worked on this equation for sometime and I would like to know if someone could tell me if my answer is correct.
2x^2-13x-7/x^2-13x+42 divided by 6x^2+x-2/3x^2-16x-12 my answer is 2x+1/2x-1
Click here to see answer by stanbon(57387)

Question 231449: 2x/2x-3 = ?/8x-27 Could someone please help me find the missing numerator?

Click here to see answer by Theo(3464)

Question 231505: 4x(7xsquare) how do i solve
Click here to see answer by rfer(12670)

Question 231587: Hi, my name is Kiara and I'm having some problems with my homework I will aprreciate all you're help .
solve the given formula for the variable shown in color. State the restrictions, if any, for the formula obtained to be meaningful.
p=2(l + w) : w
Can you explain to me how to solve it??
Thank you, and have a great day..
Click here to see answer by stanbon(57387)

Question 231649: How do you express this result in scientific notation? (4.15 x 10^3)(3.0 x 10^3)
Click here to see answer by rfer(12670)

Question 231720: Perform the operations indicated:
1. (7x- 2) + (6x+ 4)
2. (3x - 3.5) - (x + 1.8)
3. [7x^2 - 2/3)x]- [(4/9)X - 5]
4. (-5x^2 + 12x - 4) - (-2x^2 + 6)
5. -3x(-4x^2 + 7x - 9)
6. (8 - 3x)(2 + 4x)
7. (2x + 8)^2
8. (2x + 5)(x^2 + 3x + 2)
9. 6x^2+8x-7/ -x
10.3x^2+22x-8 / x+2
Click here to see answer by solver91311(16897)

Question 231743: Math problem I need help with
(3x - 3.5) - (x + 1.8)
Click here to see answer by stanbon(57387)

Question 231754: reduce to lowest terms:
9-x/5x-45

I got x/5x-5 is that correct?
Click here to see answer by solver91311(16897)

Question 231761: for what values of x is the rational expression below undefined?
(x+2)(x-1)/x(x+3)
Click here to see answer by solver91311(16897)

Question 231741: I need help
(2x + 8)^2
Click here to see answer by curioustoknow(5)

Question 231688: (10a^2 + 19a + 9) / (2a + 3)
The answer I got is (2a + 3)(5a + 2) + 3 is that correct?
Click here to see answer by curioustoknow(5)

Question 231801: Factor the polynomial completely
625m^5n^4 - 1715m^2n^7
Click here to see answer by unlockmath(1603)

Question 231935: reduce to lowest terms:
x^2+10x+25/x^2+8x+15
is the answer 25/12
Click here to see answer by checkley77(12569)

Question 231936: find the least common multiple of the polynomials
(x-4)(x+6)
(x-4)(x+2)
Click here to see answer by stanbon(57387)

Question 231899: -(4x+9)
Click here to see answer by Alan3354(30993)

Question 231984: I am just not really sure about this one it seems easy enough I need to simplify this 200^0/400 and i come up with 1 not sure if that is correct.
Click here to see answer by Alan3354(30993)

Question 231988: This problem I need to factor but I think I am a little confused with it.
Factor algabraic expressions completely
16x^2 + 4x + 25
Click here to see answer by Alan3354(30993)

Question 231986: I am stumped on this question I need to evaluate this
Evaluate P(-1/2) if P(x)=2x^4+x^3+12
Click here to see answer by Alan3354(30993)

Question 231979: I have to find all roots of X^6 + 9X^3 + 8 = 0.
I first let Y=X^3, then my equation became Y^2 + 9Y + 8 = 0. Solving for Y, I have Y = -8 OR -1.
So I have two possible roots as X = -2 and X = -1.
Since the highest power in the equation is 6, there are four other roots.
How do you find the other roots?
Thanks,
Alan
Click here to see answer by josmiceli(9697)

Question 232019: This problem I have needs to be divided but I not finding that I am able too.
Divide this algebraic expression
(2x^3-x^2+3x-1)/(x+2)
Click here to see answer by solver91311(16897)

Question 231934: A quartic equation with integral coefficients has no cubic term and no constand term. If one root is 3-i the square root of 7, what are the other roots?
Click here to see answer by jsmallt9(3296)

Question 231969: I have to write a rational expression for this word problem. Melanie can paint a barn in x days. Her helper Sara can paint the same barn in 2x days. Write a rational expression for the fraction of the barn that they can paint in 1 day by working together. Evaluate the expression for x=5.
Thanks,
Jim Koch
Click here to see answer by Robb(9)

Question 231778: divide:
x^2-9/4 /x^2-6x+9/x^-x-6
please show me how to work this out
Click here to see answer by ankor@dixie-net.com(15660)

Question 232155: solve for x:
1/x-4 - 3x/x^2-16=2/X+4
SIMPLY THIS COMPLEX FRACTION:
8M^2/3M-6 / 40M/M-2
I got m/45 is that right?
Click here to see answer by stanbon(57387)

Question 232142: melissa can clean the house in 4hours, whereas her husband, zack, can do the same job in 5 hours. They have agreed to clean together so that they can finish in the to watch a movie on TV that starts in 2 hours. How long will it take them to clean the house together? Can they finish before the movie starts?
Click here to see answer by ankor@dixie-net.com(15660)

Question 232227: Factor.
2x^2 + 17x + 30

Click here to see answer by checkley77(12569)

Question 232210: Factor y^2-15yz-41z^2
Click here to see answer by checkley77(12569)

Question 232205: Factor: 150x^2 – 96
Click here to see answer by antsmart56(3)

Question 232375: Factor this problem completely
6x^2+28x+16
Click here to see answer by rapaljer(4667)

Question 232377: Factor completely
-x^2+10x-21/-3x^2+23y-14
Click here to see answer by jsmallt9(3296)

Question 232374: Factor this problem completely
x^8-1
Click here to see answer by rapaljer(4667)

Question 232374: Factor this problem completely
x^8-1
Click here to see answer by jsmallt9(3296)

Question 232376: Factor completely
x^4 + 2x^3 - 3x -6
Click here to see answer by rapaljer(4667)

Question 232378: Factor completely
28x^2 -29x + 6/-28x^2 + 50x -12
Click here to see answer by jsmallt9(3296)

Question 232403: Find:
2x/x^2-9+1-2x/x^2-4x+3
Please show me how to work this out

find: 3+2y/y^2-1 - y+4/y^2-1
I got 2y^2+7/y^2-1 is this correct?
Click here to see answer by Alan3354(30993)

Question 232404: Simplify the expression.
5(x^2y)^4
Click here to see answer by rapaljer(4667)

Question 232405: Two trains going in opposite directions leave at the same thime. One train travels 15mph faster than the other train. The slower train went 270 miles in the same amount of time that the faster train went 360 miles. Find the speed of each.
Click here to see answer by josmiceli(9697)

Question 232435: 9x^2=4
Click here to see answer by Stitch(352)

Question 232345: 3x^2-4x+1
how do you factor this, i know how to factor but i cant figure this one out
Click here to see answer by ankor@dixie-net.com(15660)

Question 232546: Pipe A can fill a tank in 5 hours. Pipe B can fill the tank in 2 hours less time than it takes pipe C to empty it. With all pipes open it takes 3 hours to fill the tank. How long will it take pipe C to empty the tank?
Click here to see answer by stanbon(57387)

Question 232555: 12/ x^2+x-12 - 1/x-3 = -1
Click here to see answer by stanbon(57387)

Question 232594: (xy+pq) (xy-pq)--------Multiply
Click here to see answer by checkley77(12569)

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