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

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

Question 88835: I need help with this word problem:
A plane flies 720 miles against a steady 30mi/h head wind and then returns to the same point with the wind. If the entire trip takes 10h, what is the planes speed in still air?
Thank you for the help
Click here to see answer by jim_thompson5910(28579)

Question 88894: Simplify each expression answers cant have a negative or zero in it.
1. x^-4
2. (x^2y^6)^-3
3. x^4 divided by x^6
4. 12x^0x^2 divided by 4x^-6x^5
Click here to see answer by madhujiithcharu@yahoo.co.in(28)

Question 88898: An experienced accountant can balance the books twice as fast as a new
accountant. Working together it takes the accountants 10 hours. How long would it take the experienced accountant working alone?
Click here to see answer by madhujiithcharu@yahoo.co.in(28)

Question 88891: Can you please explain the steps in solving this problem in detail for me please...Thank you so much.
Solve the following equation.
1/x-1 - 1/x+1 = 3x/

Click here to see answer by madhujiithcharu@yahoo.co.in(28)

Question 88845:
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 88893: Find each product
1.(3x)(4x^3)(-x^5)
2.5x^3(4x^5-2x)
3. (5x-2y)^2
4. (5x+1)(3x^2-3x-2)
Click here to see answer by chitra(359)

Question 88841: Find (a) the GCF(greatest common factor) and (b)the LCM (least common multiple)
of the following monomials.

Question 6.) 28, 35, 42 Answers for 6.) (a)___________ (b)____________
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 88928: Would someone please explain to me step by step how to figure out this problem. Thank you.
A triangle has sides 2x-5, 3x+1, and 4x+2. Find the polynomial that represents its perimeter.
Click here to see answer by stanbon(57307)

Question 88856: Factor the following polynomials
a(to the forth power) + a (to the second power)
Click here to see answer by checkley75(3666)

Question 88842: 8x(to the third power) - 2x
Click here to see answer by checkley75(3666)

Question 88979: (Use the Binomial Theorem to write out and simplify all terms in the expansion of (x-2y)^4.
Click here to see answer by checkley75(3666)

Question 88994: please help in factoring this polynomial problem!!
x^2 + x - 6
Click here to see answer by stanbon(57307)

Question 88995: please help me understand how to do the following problem
it says "Factor the polynomial. Show all work."
2x^2 + x - 1
Click here to see answer by stanbon(57307)

Question 88986: Please help me with learning how to factor this polynomial.
8a^3-27
Click here to see answer by Edwin McCravy(8908)

Question 89042: From a worksheet:
the directions are to simplfy. I can't create this problem exactly for you the way it is on the worksheet, but hopefully you will know what it is. I know that it is dealing with rationalizing denominators, but I don't understand it.
1/2-2sqt3
On the worksheet, the 1 is the numerator. Then on the bottom is 2-2, then the square root sign followed by 3.

Click here to see answer by stanbon(57307)

Question 89090: I am having major problems and need some help
Subtract. Express your answer in simpliest form
5x/14-x/14

add. express your answer in simplist form
3y/y^2+5y+4+2y/y^2-1
Click here to see answer by stanbon(57307)

Question 88997: Hello I need help reducing this rational expression to the lowest terms
36y^3z^8/54y^2z^9
Thank you
Click here to see answer by ankor@dixie-net.com(15649)

Question 89151: A university bookstore recently sold a wirebound graph-paper notebook for $2.50, and a college-ruled notebook for $2.30. At the start of spring semester, a combination of 50 of these notebooks were sold for a total of $118.60. How many of each type were sold?

A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four lemons and six oranges for $11.16. What is the price of each fruit?

can i please get help with these word problems?
Click here to see answer by ankor@dixie-net.com(15649)

Question 89178: Simplify Rational expression
3y/6y^2 - 30y
Click here to see answer by checkley75(3666)

Question 89136: solve
4x^2-8x+3=5
Click here to see answer by checkley75(3666)

Question 89165: This is just to see if I done this word problem right.
The distance from a star to a planet is 3.1 * 10^17 m. How long does it take light, traveling at 10^16 m/year, to travel from the star to the planet?
3.1 * 10^17/10^16
3.1^17/10^16
31 Years
Is this right?
Click here to see answer by stanbon(57307)

Question 89107: I have a problem solving this word problem Thank you

A plane took 1 hr longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip?
Click here to see answer by checkley75(3666)

Question 89161: Use the Binomial Theorem to write out and simplify the first four terms in the expansion of the (2a+3b)^7.
Simplifying a term means to remove all parentheses and evaluate binomial coefficients. For example, the 3rd term of (2a+3b)^7 is given below in simplified form.
Third term = (7 over 2)(2a)^5(3b)^2=21*2^5a^5*2^2b^2= 6048a^5b^2

Click here to see answer by stanbon(57307)

Question 89224: hello, I know the answer to this problem, but I don't know how to figure the whole problem? would you please show me how? x^2-x-6/x^2-4=. I know you times them both by (x+2), but I can't figure out how to get to (x+2). Thanks
Click here to see answer by stanbon(57307)

Question 89233: I NEED HELP

I need to simplify
Thank you
Click here to see answer by Edwin McCravy(8908)

Question 89337: solve each equation for x
x^2+4x+4=7
hint factor the left side
i am very confused by this
Click here to see answer by THANApHD(104)

Question 89338: solve by completing the square
x^2-6x-3=0
Click here to see answer by stanbon(57307)

Question 89336: i need help solving this for x
2(x-5)^2=3
Click here to see answer by THANApHD(104)

Question 89270: I need help with this word problem
During rush hour, Bill can drive 15 miles using the side roads in the same time that it takes to travel 10 miles on the freeway. If Bills rate on the side roads is 8 miles hour faster than hr rate on the freeway, find his rate in the side roads.
Click here to see answer by stanbon(57307)

Question 89339: solve
3x^2-2x+1=0
Click here to see answer by jim_thompson5910(28579)

Question 89318: 16x^2=9 solve for x
Click here to see answer by checkley75(3666)

Question 89341: Rational Expression
x=x/2 - 4
Click here to see answer by checkley75(3666)

Question 89351: Perform the indicated divisons:
7x^5y5-21x^4^4+14x^3y^3/7x^3y^3
Click here to see answer by jim_thompson5910(28579)

Question 89347: I need help with this problem
Add. express your answer in simplist form
X-13/X^2-X-12+3x-3/x^2-X-12
Thank you
Click here to see answer by stanbon(57307)

Question 89299: (-6a3b4)2
(x + 9)(x - 9)
(3x - 7)2
(3x + 6)(4x - 7)
please simplify these above problems thanks bunches
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 89231: I am having pronlems solving this problem.
subtract. Write your answer in simplist form:
y-2/y+3-y/2y+6
Thank you
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 89367: 1: $52 monthly fee plus $10/hour for court rental
2: No monthly fee but $9.50/hour for court rental.
Let x = hours per month of court rental time.
Write a mathematical model representing the total monthly cost, C, in terms of x for the following:
1: C=_________________
2: C=_________________
How many hours would you have to rent the court so the monthly cost of 1. is less than 2.? Set up an inequality and show your work algebraically using the information in part a.

Click here to see answer by stanbon(57307)

Question 89393: Write the inverse variation equation of the following. Y varies inversely with x and y = 9 when x = 14.
Click here to see answer by bucky(2189)

Question 89396: Write the inverse variation equation of the following. Y varies inversely with x and y = 9 when x = 14.
Click here to see answer by bucky(2189)

Question 89396: Write the inverse variation equation of the following. Y varies inversely with x and y = 9 when x = 14.
Click here to see answer by stanbon(57307)

Question 89134: (x-1)^2=7
Click here to see answer by bucky(2189)

Question 89424: The formula N=t^2-t/2
describes the number of football games, N that must be played in a league with t teams if each team is to play every other team once.

How do I use the above to solve this problem below
If a league has 36 games scheduled, how many teams belong to the league,assuming that each team plays every other team once? The book says 9 how would I set it up in the formula above.
Click here to see answer by checkley75(3666)

Question 89432: I cant seem to figure theses out and need some help:
Add. express your answer in simplist form
[x^2/x+10]+[9x-10/x+10]
and
[x/14]+3x/14]
Thank you

Thank you
Click here to see answer by nica_021794(8)

Question 89435: Find all rational roots for the polynomial.
Click here to see answer by scott8148(6628)

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