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

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Question 104217: Solve the equation below.
Please enter your answer as three numbers, separated by commas.
x^3+5x^2=x^2-4x

Click here to see answer by scott8148(6628) About Me 

Question 104216: Factor the trinomial below.
81x^2-90x+25

Click here to see answer by scott8148(6628) About Me 
Question 104216: Factor the trinomial below.
81x^2-90x+25

Click here to see answer by edjones(7569) About Me 

Question 104215: Factor
6b^+7b-20.

Click here to see answer by scott8148(6628) About Me 
Question 104215: Factor
6b^+7b-20.

Click here to see answer by edjones(7569) About Me 

Question 104230: Factor the trinomial. (Hint: write the terms of the trinomial in descending powers of one variable.)
32b^2+14x^2-64xb






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

Question 104229: Factor 2x^2y-24x^3+15xy^2.

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

Question 104228: Factor
7x^2+23xy+6y^2.

Click here to see answer by scott8148(6628) About Me 

Question 104227: Factor the trinomial below.
9b^2-82bc+9c^2


Click here to see answer by scott8148(6628) About Me 

Question 104197: Simplify each problem before you multiply.
3x+6/5x*x+4/x^2+2x=

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

Question 103883: Is (a+b)^3 ever equal to a^3+b^3? Explain.
Click here to see answer by Fombitz(13828) About Me 

Question 104254: (4x^5 + 7x^4 - 3x^2 + 9) + (6x^5 -8x^4 + 2x^3 - 7)
Click here to see answer by jim_thompson5910(28595) About Me 

Question 104027: PreAP/GT Algebra II, teacher supplements the textbook with worksheets from College Algebra books. Worksheet titled SAT/ACT Test Prep #4.
3 parts to this problem:
x^ + y^ = 16
xy = 8
(x + y)^ = ?

Click here to see answer by ankor@dixie-net.com(15657) About Me 

Question 104317: multiply this:(n-8)(n-9)
Click here to see answer by stanbon(57377) About Me 

Question 104320: ac-3ad+2bc-6bd
Click here to see answer by MathLover1(6634) About Me 

Question 104355: Simplify (a^7b^2)^7
Click here to see answer by stanbon(57377) About Me 

Question 104335: New Problem, Factor:

t2 + 9 t + 20

Click here to see answer by scott8148(6628) About Me 
Question 104335: New Problem, Factor:

t2 + 9 t + 20

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

Question 104353: Find the value of the polynomial –x^2 + 4x + 10 when x = –2.
Click here to see answer by jim_thompson5910(28595) About Me 

Question 104319: solve the polynomial
10w^4+35w^3-20w^2

Click here to see answer by scott8148(6628) About Me 

Question 104476: Solve the following quadratic equations.
4x^2=13x+12
-4x^2+13x+12=0
(-1+4)(4+3)=0
Honestly, I have no clue here. I tried to factor and solve by using the zero product principle, but really got lost. If you could, could you please provide me with details on how the solution is reached. I really want to learn this, and don't just want the answer.

Click here to see answer by HyperBrain(694) About Me 
Question 104476: Solve the following quadratic equations.
4x^2=13x+12
-4x^2+13x+12=0
(-1+4)(4+3)=0
Honestly, I have no clue here. I tried to factor and solve by using the zero product principle, but really got lost. If you could, could you please provide me with details on how the solution is reached. I really want to learn this, and don't just want the answer.

Click here to see answer by stormy(4) About Me 

Question 104483: Hello,
I have the following multiple choice question:
Find an nth degree polynomial function with real coefficients satisfying the given conditions.
n = 3; - 4 and i are zeros; f(-3) = 60

A) f(x) = 6 + 24 + 6x + 24

B)
f(x) = -6 - 24 + 6x + 24
C)
f(x) = 6 + 24 - 6x - 24

D)
f(x) = -6 - 24 - 6x - 24
I'm not sure if I'm supposed to substitute the values into the multiple choices to see which one works out. Regardless, I would like to find the answer on my own without having to plug the values in. Could you help me? I looked in my algebra book but I couldn't find a section for this. I would greately appreciate it if someone could give me some direction.
Thank you,
EJ

Click here to see answer by Fombitz(13828) About Me 

Question 104358: Add. Express the answer in simplest form.

8/s+8/s^2

Click here to see answer by Fombitz(13828) About Me 

Question 104510: 4x^3-x^2-13x+10 divided by 4x-5
Click here to see answer by jim_thompson5910(28595) About Me 

Question 104536: Please help me factor the following:
6x²-7x-3

Click here to see answer by Edwin McCravy(8909) About Me 

Question 104535: I need help factoring the following:
16x^2-25

Click here to see answer by checkley75(3666) About Me 
Question 104535: I need help factoring the following:
16x^2-25

Click here to see answer by TP(29) About Me 

Question 104580: X^2 -4 DIVIDED BY 4X-8 - BOTH NUMBERS ARE OVER X
Click here to see answer by edjones(7569) About Me 

Question 104534: Please help me factor the following problem
x^2+10xy+16

Click here to see answer by edjones(7569) About Me 

Question 104582: FIND A TRINOMIAL THAT REPRESENTS THE AREA OF A PARALLELOGRAM WHOSE BASE IS3X + 2 METERS AND WHOSE HEIGHT IS 2X + 3 METERS
Click here to see answer by stanbon(57377) About Me 

Question 104578: pLEASE HELP WITH THE FOLLOWING
THE STUDENT TEACHER RATIO FOR WASHINGTON HIGH WAS REPORTED TO BE 27.5 TO 1. IF THERE ARE 42 TEACHERS, THEN HOW MANY STUDENTS ARE THERE?
i GET 9,982 IS THIS CORRECT?

Click here to see answer by stanbon(57377) About Me 

Question 104597: PLEASE HELP
SAM LIVES ON A LOT THAT HE THOUGHT WAS A SQUARE, 157 FEET BY 157 FEET. WHEN HE HAD IT SURVEYED, HE DISCOVERED THAT ONLY ONE SIDE WAS ACTUALLY 2 FEET LONGER THAN HE THOUGHT AND THE OTHER WAS ACTUALLY TWO FEET SHORTER THAN HE THOUGHT. HOW MUCH LESS AREA DOES HE HAVE THAN HE THOUGHT HE HAD?

Click here to see answer by doukungfoo(195) About Me 

Question 104515: A car rental company increases daily rental fees 15% in the summer to cover increased fuel costs. They then have a "25% off" promotion for the fall. If a car rented for $36.00 per day before the summer, what would the per day rental cost be during the fall promotion?
Click here to see answer by stanbon(57377) About Me 

Question 104667: Multiply the following binomials using the FOIL method:
(x – 2)(x + 4)
I have this....
x^2 - 2x + 4x + 2
x^2 + 2x + 2
Where do I go from here??? Is this even right????

Click here to see answer by stanbon(57377) About Me 

Question 104669: Factor the following into the product of two binomials. Then, confirm your answer is correct by multiplying the two binomials:
x2 - 36

Click here to see answer by HyperBrain(694) About Me 

Question 104679: FIND EACH PRODUCT
(3Z^4-8)^2

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Question 104681: FIND EACH QUOTIENT
-12Z^4 Y^2 OVER -2Z^10 Y^2

Click here to see answer by HyperBrain(694) About Me 

Question 104678: FIND EACH PRODUCT
(3Y^2 + 1) (3Y^2 - 1)

Click here to see answer by HyperBrain(694) About Me 
Question 104678: FIND EACH PRODUCT
(3Y^2 + 1) (3Y^2 - 1)

Click here to see answer by Fombitz(13828) About Me 

Question 104673: Multiply (5a – 3b)^2
Click here to see answer by Fombitz(13828) About Me 

Question 104690: use factoring to solve problem
a triangular sail has an area of x^2 + 5x + 6 square meters and a height of x + 3 meters. find the lenght of the sails base

Click here to see answer by TP(29) About Me 

Question 104688: factor each polynomial completely
-4w^3 - 16w^2 + 20w

Click here to see answer by TP(29) About Me 
Question 104688: factor each polynomial completely
-4w^3 - 16w^2 + 20w

Click here to see answer by Fombitz(13828) About Me 

Question 104680: FIND EACH QUOTIENT
(14Y + 8Y^2 + Y^3 + 12) DIVIDED BY (6 + Y)

Click here to see answer by Fombitz(13828) 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