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

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

Question 268715: The members of a flying club plan to share
equally the cost of a $200,000 airplane. The members
want to find five more people to join the club so that the
cost per person will decrease by $2000. How many members
are currently in the club?
Click here to see answer by ankor@dixie-net.com(22740)

Question 268490: 5a^2+7a+66^2-4b
Click here to see answer by persian52(161)

Question 268890: The width of a rectangular playground is 2x -5 feet, and the length is 3x +9 feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perimeter polynomial if x is 4 feet
please explain this problem im not really sure what to do with it.
Click here to see answer by JBarnum(2146)

Question 268999: 1. -2/y^2 - 9 + 4y/(y - 3)^2 + 6/3 - y
2. x^2/3x^2 - 5x - 2 - 2x/3x + 1 divived by 1/x - 2
Click here to see answer by drk(1908)

Question 268873: find c so that the polynomial will be the square of a bynomial cy2+6y+1 justify your answer
Click here to see answer by Edwin McCravy(20054)

Question 268875: write alggebraic expressions for the follolwing 3 times the quantity of a number plus 8, 3 times the sum of a number and 8, half of the diffrence of the squares of a and b, five times a number is the same as that numbered square

Click here to see answer by ankor@dixie-net.com(22740)

Question 269051: Hi I need help in solving this equation:
Divide:
(20b^3+12b^2+20b+34)/(4b+4)
thanks,
Click here to see answer by persian52(161)

Question 268894: A red ball and a green ball are simultaneously tossed into the air. The red ball is given an initial velocity of 96 feet per second, and its height t seconds after it is tossed is -16t^ 2 +96t feet. The green ball is given an initial velocity of 80 feet per second, and its height t seconds after it is tossed is-16t^2+ 80t feet.
a) Find a polynomial D(t) that represents the difference in
the heights of the two balls.
b) How much higher is the red ball 2 seconds after the
balls are tossed?
c) In reality, when does the difference in the heights stop increasing?

Click here to see answer by ankor@dixie-net.com(22740)

Question 268639: Multiply and simplify. (8b^3/7t^2)*(49t^5/64b)
Click here to see answer by persian52(161)

Question 268635: Multiply and simplify. (z^2-1/4z+4)/(z-1/2)
Click here to see answer by persian52(161)

Question 269103: I am having trouble with factoring and solving. Please help. I will greatly appreciate it. Please show work.
Factor completely. If the polynomial is prime, state this.
Factor completely by grouping.

Click here to see answer by Edwin McCravy(20054)

Question 269207: I have been working on this math problem and can't figure it out and I was wondering if someone could help me? Please and Thank you! I would deeply appreciate it!
Points B and C lie on AD. Find AC if AB/BD=3/4 and AC/CD=5/6 and BD=66.
Click here to see answer by suhasbhat(3)

Question 269212: Harry can paint a room in 3 hours, and kerry can paint it in 4 hours. how long will it take if they work together?

Click here to see answer by unlockmath(1688)

Question 269216: Find a polynomial function f of degree 3 with leading coefficient 1 whose graph has x- intercepts at
(-1,0), (2,0), (4,0)
Click here to see answer by AnlytcPhil(1806)

Question 269237: 5x^2-11x+2=0
my answer is (5x-1)(x-2)
Click here to see answer by dabanfield(803)

Question 269241: solve
5x^2=2x-7x^2
3x^2+6x=2x^2-9
Click here to see answer by stanbon(75887)

Question 269238: A cement walk of uniform width is built around a 20 foot by 40 foot rectangular pool and the area of the walk is 700 square feet. How wide will the walk be?
Click here to see answer by dabanfield(803)

Question 269231: Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.
A rectangular rug is 3 feet longer than it is wide. If the area of the rug is 40 square feet, find the length and the width.
Click here to see answer by JBarnum(2146)

Question 269253: If an object is propelled upward from ground level with an initial velocity of 224 feet per second, its height h in feet t seconds later is given by the equation h = 224t - 16t2. After how many seconds does the object hit the ground?

Click here to see answer by Alan3354(69443)

Question 269264: The area of a rectangle is 24 square meters. Find the length and width of the rectangle if its length is 2 meters greater than its width. Use an equation and the formula A=(l)(w)
I started 24=m^2+2m then I went on to say; m^2+2m-24=0 (m+6)(m-4)=0 m=4 or m=-6 but we can't have a length at -6 so I need help please.
Click here to see answer by JBarnum(2146)

Question 269215: Use synthetic division and the solution
x=8-squareroot of 6
to find the seroes of
x^3-8x^2-70x+464=0
Click here to see answer by AnlytcPhil(1806)

Question 269311: I need to figure out the third side of a right triangle. I do not know how to figure it out.
The bottom of the right triangle is "a". The left = 1 and the slant of the triangle = sqrt 5
Click here to see answer by stanbon(75887)

Question 269372: Hello all.
I am to simplify the following polynomial using long division.

The book says that the answer is:

I do not know how the book came to that conclusion?
Can someone help please?
Thanks
Click here to see answer by Alan3354(69443)

Question 269446: I need to factor and solve by using the principle of zero theory
(x+3)(x-9)= -13
Please help!
Click here to see answer by stanbon(75887)

Question 269446: I need to factor and solve by using the principle of zero theory
(x+3)(x-9)= -13
Please help!
Click here to see answer by drk(1908)

Question 269465: If an object is propelled upward from ground level with an initial velocity of 224 feet per second, its height h in feet t seconds later is given by the equation h = 224t - 16t^2. After how many seconds does the object hit the ground?

Click here to see answer by drk(1908)

Question 269460: Solve by factoring and using the principle of zero products.
(x-9)(x-3)=-8
Factor by grouping if possible.
x^3-x^2+40
Factor Completely
x^2-18xy+81y^2
Click here to see answer by oberobic(2304)

Question 269519: I have read my textbook, and I don't understand.
List all numbers for which the rational expression is undefined.
x^2-4
------
x^2+12x+27

Simplify
27a^7b^6
--------
9a^8b^5

Simplify
-2y+6
------
-8y
Click here to see answer by drk(1908)

Question 269521: Simplify if possible
t^2+3t-18
---------
t^2+12t+36

Mult. and Simplify if possible
BC 5d^3
--- * -----
d^5 10c^5

Mult. and Simp. if possible.
x^2-12x+20 5x
---------- * ---
x7 x-10
Click here to see answer by drk(1908)

Question 269664: Subtract
5x-y-12-(-x+y-10)

Click here to see answer by unlockmath(1688)

Question 269741: how do you solve 5x2squared+9x-18
Click here to see answer by Alan3354(69443)

Question 269849: why is (4x+7)(x-5)(2x-9)(x-5) not in factored form
Click here to see answer by drk(1908)

Question 269865: I need help on finding the potential rational zeros of the polynomial function
f(x) = -4x^4 + 3x^2 - 4x + 6
Click here to see answer by drk(1908)

Question 269865: I need help on finding the potential rational zeros of the polynomial function
f(x) = -4x^4 + 3x^2 - 4x + 6
Click here to see answer by Edwin McCravy(20054)

Question 269874: Express rational expressions in lowest terms.
1. (2x^2+4x)/(2x^2+6x)

2. x^2+4x+4/x+2

3. 4x^2-12x-40/2x^2-16x+30
Click here to see answer by drk(1908)

Question 269867: I need help listing the potential rational zeros of the polynomial function.
f(x) = -4x4 + 3x2 - 4x + 6
Click here to see answer by Edwin McCravy(20054)

Question 269902: Simplify This from the text book Introductory Algebra. Ch 6.8 #44

[x+1 +1 ] ^5
x-1
___________
[x +1 � 1]
x-1

Click here to see answer by drk(1908)

Question 269799: Can someone help me solve this expression. 25a^2 - 23a - 2
Click here to see answer by checkley77(12844)

Question 269914: 14W +42/7 =2W +5
Click here to see answer by checkley77(12844)

Question 269912: 3/4(y-3) = 2/5(y+4)
Click here to see answer by checkley77(12844)

Question 269909: 4(7s-3)-7(3s-5)= 0
how do you solve?
Click here to see answer by checkley77(12844)

Question 269899: x^2 +5x+4 . x^2 +5x - 14
__________________________________
x^2-6x +8 x^2 +8x +7

I have to multiply and simplify
Click here to see answer by checkley77(12844)

Question 269966: Here is another one. Maybe once I get the hang of it I won't have to ask so many questions :)
(x^2)/(3x^2-5x-2) - (2x)/(3x+1) x (1)/(x-2)
The help is again appreciated. Some day I will have to understand this, I am sure it will be on a test! :)
Click here to see answer by dabanfield(803)

Question 269984: How do I factor this trinomial?
30a^2+am-m^2
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, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105