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

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

Question 250255: I need help to figure out a math problem: 3x to the 3 power - 9x to the 2 power+12x
Click here to see answer by Theo(3504)

Question 250391:
Factor completely. show steps. if polynomial is prime, state this.
I tried to do this but i don't understand how its done. My first attempt I thought it was prime but my teacher said it was wrong and it could be factored. Could you please help?
Click here to see answer by jim_thompson5910(28715)

Question 250397: 15x^9z^2-11xy^4z-3x^12y^4-8y^5z^2
Click here to see answer by Alan3354(31518)

Question 250549: 5y^2/9a^2k^2 - a^2x/6bk
Click here to see answer by MRperkins(300)

Question 250568: Factor Completely
xy^2-7y^2-4x+28
Click here to see answer by richwmiller(9144)

Question 250571: How would you use the distributive property to solve
7-(4+3t) since there is a negative in front of parenthesis?
thanks!
Click here to see answer by richwmiller(9144)

Question 250567: Factor Completely
16x^2+24x+9
Click here to see answer by Alan3354(31518)

Question 250577: 9x^3-3x^2/3x
I tried doing this but its hard for me to understand the simplifying. All I got was 3(3x^3-x^2)/3x can u help me?

Click here to see answer by richwmiller(9144)

Question 250473: A rocket is fired upward with an initial speed of 1960 m/s. After how many minutes does it hit the ground?
Click here to see answer by manglu(4)

Question 250592: factoring polynomials completely

p^2 - 2p - 63
Click here to see answer by manglu(4)

Question 250592: factoring polynomials completely

p^2 - 2p - 63
Click here to see answer by richwmiller(9144)

Question 250595: factoring completely

16x^2 + 24x + 9
Click here to see answer by edjones(7569)

Question 250595: factoring completely

16x^2 + 24x + 9
Click here to see answer by PRMath(124)

Question 250569: Factor Completely
4x^2+7x-3
Click here to see answer by edjones(7569)

Question 250665: I am having a difficult time answering this question, using the difference of cubes can you help?
(x-y)^3-y^3
thanks
Click here to see answer by solver91311(17077)

Question 250684: x^2-9x+20.25=0 how do you factor this equation
Click here to see answer by checkley77(12569)

Question 250707: what are the factors of x3+2x2-63x ?
Click here to see answer by blwinbbbles(106)

Question 250770: how do you simplify (xsquared-x+3)/(xcubed+6xsqaured+11x+6)
Click here to see answer by stanbon(57967)

Question 250792: Factor
Click here to see answer by Edwin McCravy(8999)

Question 250793: x cubed -3x squared + x - 3
Click here to see answer by jim_thompson5910(28715)

Question 250814: solve equation by clearing fraction first

3/2y+1/3=1/4y
Click here to see answer by Alan3354(31518)

Question 250854: While doing my math homework i was having trouble answering this problem -
a^3b^2 - 49ac^2
can you help me? thanks
Click here to see answer by College Student(505)

Question 250847: Just a random question: "Originally a rectangle was twice as long as it was wide. When 4 m were added to its length and 3 m subtracted from its width, the resulting rectangle had an area of 600 m (squared). Find the dimensions of the new rectangle."
Click here to see answer by scott8148(6628)

Question 250869: Solve by factoring and using the principle of zero products
2x^2-8x=0
Click here to see answer by tutorcecilia(2152)

Question 250885: how do you factor a polynomial expression?
Click here to see answer by MRperkins(300)

Question 250863: factor x (x+12)+11(x+12)completely
Click here to see answer by Fombitz(13828)

Question 250865: Factor -x^5-2x^4+99x^3
Click here to see answer by Fombitz(13828)

Question 250867: Factor completely
64x^2-48xy+9y^2
Click here to see answer by Fombitz(13828)

Question 251051: (x-3)^3 i'm so confused
Click here to see answer by solver91311(17077)

Question 251051: (x-3)^3 i'm so confused
Click here to see answer by vleith(2825)

Question 251062: I am having so much trouble with 3 problems. I keep doing them over and over and coming up with different answers each time. I would really love if someone could help me.
Divide:
(42b^3 + 9b^2 + 42b + 27) / (6b + 3)
Multiply:
(s + t) * (s^2 - st + t^2)
Multiply:
81d^2/4d^2 - 32d + 64 (written as a fraction) * 4d-16/9d (also written as a fraction)
Thank you so so much!!!
Click here to see answer by richwmiller(9144)

Question 251067: Can someone please help me with this problem?? Thank you so much in advance!!!
Divide:
(42b^3 + 9b^2 + 42b + 27) / (6b + 3)

Click here to see answer by JimboP1977(308)

Question 251085: I really need help with division of polynomials. Thank you so much in advance!!!
Divide and Simplify:
11y-77/35 / y-7/77y
I really appreciate it!!
Click here to see answer by MRperkins(300)

Question 251132: the first question is x^2+15x=0 use the zero principle
the second question is a^2-24ab-25b^2 factor completely
the third question is 20y^5+36y^4-8y^3 factor completely
the fourth question is y^3+14y^2+49y factor completely
Click here to see answer by richwmiller(9144)

Question 251174: Factor by grouping if possible 5x^3-25x^2+2x-10
Click here to see answer by stanbon(57967)

Question 251175: hello i have a big math test tommorrow and i cant solve these equations can you help?
6x^2 - 23xy + 7y^2
Thank you much appreciated!

Click here to see answer by stanbon(57967)

Question 251182: (a+7)/ 3a^2+14a-49 over a^2+8a+7
Divide and, if possible, simplify. Show work.
I don't understand how to do this problem. Could you please help show me how it is done?
Click here to see answer by stanbon(57967)

Question 251205: Simply, if possible
36w^6x^7
________
24w^8x^9
Click here to see answer by nyc_function(2733)

Question 251214:
Factor Completely.

Click here to see answer by stanbon(57967)

Question 251213:
Factor completely.
I do not understand how to do this. Its frustrating because I think I understand but I am still getting the answer wrong. Please help!
Click here to see answer by scott8148(6628)

Question 251218: Show all steps necessary to arrive at your solution.
A football field is about 50 yards wide by 120 yards long. The border of uniform width around the entire field has an area of about 1800 square yards. How wide is the border around the field?
Click here to see answer by oberobic(2304)

Question 251172: I have no idea how to do this!! Can someone please walk me through the process???
Find a polynomial for the perimeter and for the area: (it is a rectangle)
one side: a+7
another side: a
Thank you
Click here to see answer by jim_thompson5910(28715)

Question 251246: how do you write each number in scientific notations? 75,000,000
Click here to see answer by rapaljer(4667)

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