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

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

Question 184183: Step shows and Solve by factoring:
x^2-9x=-20
Click here to see answer by solver91311(16897)

Question 184204: Hi, I am stuck on this one. Please help if able.
Write the fraction in lowest terms. If the fraction is already in lowest terms, so indicate. In that case enter lowest . Assume that the denominator does not equal zero.
x2 - 11x + 30
__________________
X2 - 4x - 12
Click here to see answer by ptaylor(2048)

Question 184200: please help me solve these problems please I tried to solve them myself but keep getting them wrong.
factor the polynomial completely
1. 12t3+14t2+4t
2. reduce the expression to the lowest terms
w9/w12
Click here to see answer by user_dude2008(1861)

Question 184221: How do you factor a trinomial?
Click here to see answer by vleith(2825)

Question 184194: Identify all real roots of x^3+x^2-34x+56=0
I worked it out to: 2, -3+ square root 11 and -3- square root 11. Am I correct?
Click here to see answer by vleith(2825)

Question 184224: How do you factor out a constant first?
Click here to see answer by stanbon(57424)

Question 184232: Suppose that you square two consecutive whole numbers and subtract the smaller square from the larger. Is it possible that the difference is an even number? Explain your answer with appropriate examples.
Click here to see answer by jim_thompson5910(28598)

Question 184262: please help me solve these problems
perform the indicated operations
1. x3-1 divided by 9x2+9x+9
x2+1 x2-1
Click here to see answer by jim_thompson5910(28598)

Question 184281: We are studying rational expressions and I was asked to solve this problem. Please help!!!
Let's say it takes me 6 hours to paint a house, and it takes you 5 hours to paint it. How long will it take us to paint it working together?

Click here to see answer by stanbon(57424)

Question 184284: As an example of a real life problem that requires rational expressions to solve, you may want to know how much of a 25% alcohol solution you need to add to 1L of water to produce a 10% alcohol solution.
As another example of a problem that requires rational expressions, if you know that John can finish a job in one hour and Sally can finish it in two hours, you may want to know how long will it take to finish the job if both are working together.
Please help me solve these.

Click here to see answer by stanbon(57424)

Question 184294: When solving a rational equation, why it is OK to remove the denominator by multiplying both sides by the LCD and why can you not do the same operation when simplifying a rational expression?

Click here to see answer by rapaljer(4667)

Question 184297: I do not have anything pertaining to a book problem. I am taking college on-line. I do have a question though, If I may? Biologists want to set up a station to test alligators in hts lake for West Nile Virus. Suppose that the cost for such a station are $2,500 for setup costs and $300 to administer each test. Write an expression that gives the total cost to test x animals

Click here to see answer by rapaljer(4667)

Question 184201: Hi, I am stuck on this one. Please help if able.
Simplify the rational expression. Assume the denominator never equals zero.
y2-7.y+10
______________
2.(y-4)-(y-3)
Click here to see answer by rapaljer(4667)

Question 184234: Suppose that you square two consecutive whole numbers and subtract the smaller square from the larger. Is it possible that the difference is an even number? Explain your answer with appropriate examples.
Click here to see answer by ptaylor(2048)

Question 184309: (x+2/4) * (2/2x^-4)
Click here to see answer by nerdybill(6963)

Question 184306: 15x/5x+5
Click here to see answer by nerdybill(6963)

Question 184307: 1/x-1/x-1
Click here to see answer by nerdybill(6963)

Question 184307: 1/x-1/x-1
Click here to see answer by solver91311(16897)

Question 184304: If it takes 3 days to get tot he moon how many days will it take to get to junipter. The moon is 240,000 and to jupitor is 2,219,000. Write answer in scientific notation.
Click here to see answer by nerdybill(6963)

Question 184321: x^2+16x+28=0
Click here to see answer by solver91311(16897)

Question 184362: How do I factor xto the 6th power + 7xto the 5th power?
Click here to see answer by jim_thompson5910(28598)

Question 184360: How do I convert 5.356 x 10to the -8 power.
Click here to see answer by user_dude2008(1861)

Question 184368: (-4x+5)+(2xsquared +1/2x-12)I have tried to do it the colum form ans I get all lost.
Click here to see answer by solver91311(16897)

Question 184368: (-4x+5)+(2xsquared +1/2x-12)I have tried to do it the colum form ans I get all lost.
Click here to see answer by checkley77(12569)

Question 184359: The base of a triangle is 5 times greater than the height. find the height and lenght. I don't know where to start. Help!!!!
Click here to see answer by solver91311(16897)

Question 184384: (-1/7x^5)(-1/6x)I don't know where to start on this one.
Click here to see answer by checkley77(12569)

Question 184433: To estimate the size of the bear population on the Keweenan Peninsula, conversationalists captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationalist's estimate of the size of the bear population?
Click here to see answer by stanbon(57424)

Question 184432: The ancient Greeks thought that the most pleasing shape for a rectangle was one for which the ratio of the length to the width was approximately 8 to 5, the golden ratio. If the length of a recangular painting is 2ft longer than its width, then for what dimensions would the length and width have the golden ratio?
Click here to see answer by stanbon(57424)

Question 184429: If four out of five doctors prefer fast food, then at a convention of 445 doctors, how many prefer fast food?
I came up with 75.
Click here to see answer by stanbon(57424)

Question 184217: please show me how to solve this problem please
find the LCd for the given rational expressions, and converteach rational expression.
3, 2b -5
4b2-9 2b+3 2b2-3b
Click here to see answer by Alan3354(30993)

Question 184308: 2/y+1=-4y/2y+2+3
Click here to see answer by Alan3354(30993)

Question 184441: The owner of a daycare center plans to have a rectangular sandbox built in the outdoor play area. The width (in feet) of the sandbox is given by the polynomial 2x-5. If the length of the sandbox is designed to be 10 feet longer than the width, write a polynomial that represents the area of the sandbox.
Click here to see answer by Alan3354(30993)

Question 184497: 4x^2-12x+9=0
Click here to see answer by checkley77(12569)

Question 184496: 8x^3-32x=0
Click here to see answer by checkley77(12569)

Question 184499: What is the x intercept for y=2x^2-x-3?
I got -1.1 not sure if that is right.
Anne
Click here to see answer by J2R2R(94)

Question 184505: (3x^2-10x+5)+(5x^2+12x-7)
Perform the operation
Click here to see answer by kailuen(7)

Question 184586: simplify and give restrictions
x squared - y squared
_____________________
x squared + 3xy + 2y squared
Click here to see answer by jim_thompson5910(28598)

Question 184661: Melanie can paint a certain barn by herself in x days. Her helper, Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x=5.
Click here to see answer by solver91311(16897)

Question 184638: I need help with this problem from http://almapsd.owotw.com/showAssignment?course_id=alg01_2008&assignment_id=alg01u06c02l04d&unit_id=6&__athena_reconnect__=1
Place the indicated product in the proper location on the grid.
a^5· a^7
Click once to select an item at the bottom of the problem.
Click again to drop the item in its correct place.
http://media01.owotw.com/alg01_2008/6/10x1.gif

http://media01.owotw.com/alg01_2008/6/bagnum6.gif
http://media01.owotw.com/alg01_2008/6/bagnum5.gif
http://media01.owotw.com/alg01_2008/6/bagexp0.gif
http://media01.owotw.com/alg01_2008/6/bagexp1.gif
http://media01.owotw.com/alg01_2008/6/baglowa.gif
http://media01.owotw.com/alg01_2008/6/bagnum4.gif
http://media01.owotw.com/alg01_2008/6/bagnum3.gif
http://media01.owotw.com/alg01_2008/6/bagnum2.gif
http://media01.owotw.com/alg01_2008/6/bagnum1.gif
http://media01.owotw.com/alg01_2008/6/bagexp4.gif
http://media01.owotw.com/alg01_2008/6/bagexp5.gif
http://media01.owotw.com/alg01_2008/6/bagexp2.gif
http://media01.owotw.com/alg01_2008/6/bagexp3.gif
http://media01.owotw.com/alg01_2008/6/bagexp8.gif
http://media01.owotw.com/alg01_2008/6/bagexp9.gif
http://media01.owotw.com/alg01_2008/6/bagexp6.gif
http://media01.owotw.com/alg01_2008/6/bagexp7.gif
http://media01.owotw.com/alg01_2008/6/baglowy.gif
http://media01.owotw.com/alg01_2008/6/baglowx.gif
http://media01.owotw.com/alg01_2008/6/bagro11.gif
http://media01.owotw.com/alg01_2008/6/bagnum0.gif
http://media01.owotw.com/alg01_2008/6/bagnum9.gif
http://media01.owotw.com/alg01_2008/6/bagnum8.gif
http://media01.owotw.com/alg01_2008/6/bagnum7.gif

Click here to see answer by solver91311(16897)

Question 184698: Factor Completely:

Click here to see answer by edjones(7569)

Question 184697: Factor Completely:

Click here to see answer by edjones(7569)

Question 184659: Felix drove 800 miles in x hours on Monday.
A) Write a rational expression for his average speed.
B) On Tuesday, he drove for 6 hours at the same average speed. Write a rational expression for his distance on Tuesday.
Click here to see answer by edjones(7569)

Question 184736: hi, i was hoping you could help me start my homework...i am needing to determine the degree of each term and the degree of the polynomial. also, how do i find the leading term and coefficient? thank you!!! -6x^5-8x^3+x^2+3x-4
Click here to see answer by Mathtut(3670)

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