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

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

Question 65107: Please help me solve this by factoring:
x^2 - 2x - 24 = 0
Thank you.
Click here to see answer by stanbon(57967)

Question 65134: Solve by completing the square. Show your steps: 2x^2 - 3x + 5 = 0
Click here to see answer by ptaylor(2052)

Question 65132: Smplify the ff. complex rational expression:
1. 2 + x
-------
3
____________
x + 5
-------
7x
Click here to see answer by funmath(2925)

Question 65120: solve
3[2x-3(4-x)]=2(1-2x)
Click here to see answer by tutorcecilia(2152)

Question 65118: graph the equation on a grid 2y-3x=6
Click here to see answer by tutorcecilia(2152)

Question 65157: Hello,
How do i solve this equation:
3^x = 1/9
thank you!
Click here to see answer by funmath(2925)

Question 65157: Hello,
How do i solve this equation:
3^x = 1/9
thank you!
Click here to see answer by cristiana(10)

Question 65115: find the point of intersection for the lines below by graphing
-3x+2y=10
3x=2y=6
Click here to see answer by stanbon(57967)

Question 65144: 5x3y5z–3 (17xy2z – 2y5z) is equivalent to which of the following?
Click here to see answer by funmath(2925)

Question 65143: Which is equivalent to 6ab2 – 3ab + 4a2b + 5ab – 5ab2 + 9a2b?
Click here to see answer by funmath(2925)

Question 65133: [x/(4x^2-9)] - [(x+3)/(8x^2+6x-9)] = [1/(8x^2-18x+9)]
Click here to see answer by funmath(2925)

Question 65119: solve and graph on a number line 4-3(x+2)<2(2x+3)-1
Click here to see answer by Nate(3500)

Question 65201: Simplify: 10x^2-37x+7
5x^2+24x-5
Click here to see answer by checkley71(8403)

Question 65272: please help me with this problem. I haven't been able to find the answer.
thank you
x^2 -4 + x^2 = 4
------
x-2
x squared minus 4 over x minus 2 plus x squared equals 4
Click here to see answer by tanimachatterjee(60)

Question 65079: Simplify :
x^2a/z^3 - a^2
DIVIDED BY
x/z^2 - 3/z^3
Click here to see answer by tanimachatterjee(60)

Question 65197: simplify: x^2+2x+1-y^2/(x+1)^2+2y(x+1)+y^2
Click here to see answer by funmath(2925)

Question 65078: Simplify :
(x^3 - 5x^2 - 24x / x^2 - 9) * (x^2 + 3x - 18 / x^3 - 11x^2 - 24x)
Click here to see answer by funmath(2925)

Question 64834: please help to simplify :
(x^3 - 5x^2 - 24x / x^2 - 9) * (x^2 + 3x - 18 / x^3 - 11x^2 + 24x)
thank you!
Click here to see answer by funmath(2925)

Question 64778: Write the expression in simplest form.

4r^2-25s^2
-------------- =
2r^2+3rs-20s^2
Click here to see answer by checkley71(8403)

Question 65330: Kevin earned $165 interest for 1 year on an investment of $1500. At the same rate, what amount of interest would be earned by an investment of $2500?
Click here to see answer by stanbon(57967)

Question 65329: A plane flies 720 miles against a steady 30 mi/hr headwind and then returns to the same point with the wind. If the entire trip takes 10 hours, what is the plane’s speed in still air?
Click here to see answer by stanbon(57967)

Question 65327: A passenger train can travel 325 miles in the same time a freight train takes to travel 200 miles. If the speed of the passenger train is 25 mi/hr faster than the speed of the freight train, find the speed of each. Make sure in the right hand column you give the speeds of each train.
Note: I must use algebra for this problem!

Click here to see answer by 303795(595)

Question 65328: Ariana took 2 hours longer to drive 360 miles on the first day of a trip than she took to drive 270 miles on the second day. If her speed was the same on both days, what was the driving time each day? Be sure to give the driving time for both days in the right hand column.
Note: I must use algebra for this problem!

Click here to see answer by 303795(595)

Question 65353: [(x^2-4)/(x^2+3x-10)] / [(x^2+5x+6)/(x^2+8x+5)]

Click here to see answer by Edwin McCravy(8999)

Question 65326: If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers? Be sure in the right hand column to give the final answer expressed as both numbers.
Note: Must use algebra and rational expressions to solve this problem.
Click here to see answer by stanbon(57967)

Question 65378: Can someone please help me factor this polynomial completely
25x^2+10x+4
Thank you
Sean
Click here to see answer by checkley71(8403)

Question 65401:
Click here to see answer by Edwin McCravy(8999)

Question 65413: Laurie left home and ran to the lake at 10 mi/h. She ran back home at 8 mi/h. If the entire trip took 27 minutes, how far did she run in all?
Click here to see answer by ptaylor(2052)

Question 65406: simplify (2x^2+4x/8x^2-40x)(6x^3-30x^2/3x^2+6x)
Click here to see answer by funmath(2925)

Question 65403: 2x^2+7xy-4y^2/4x^2-4xy+y^2
Click here to see answer by funmath(2925)

Question 65397: 4x^2y(3x^3y^2+2xy-7y^3)
Click here to see answer by funmath(2925)

Question 65467: f(x)=2x^3+2x^2+112x we need to factor this polynomial
Click here to see answer by checkley71(8403)

Question 65468: Well I'm having problems with these types of equations
"The figure shows the graphs of f(x)=x^3 and g(x)=ax^3. What can you conclude about the value of a?"
is it a<-1?
is it -1 is it 0 or 1
Click here to see answer by 303795(595)

Question 65469: Well I'm having problems with these types of equations
"The figure shows the graphs of f(x)=x^3 and g(x)=ax^3. What can you conclude about the value of a?"

Click here to see answer by 303795(595)

Question 65471: If f(x)=x(x-1)(x-4)^2, use interval notation to give all values of x where f(x)>0
Click here to see answer by funmath(2925)

Question 65470: f(x)=x(x+3)(x-1) use interval notation to give all values of x where f(x)>0
Click here to see answer by funmath(2925)

Question 65513: I have this problem.
"Find the quotient and remainder of f(x)=x^3-4x^2+5x+5 divided by p(x)=x-1."
How do you solve this?
Click here to see answer by stanbon(57967)

Question 65513: I have this problem.
"Find the quotient and remainder of f(x)=x^3-4x^2+5x+5 divided by p(x)=x-1."
How do you solve this?
Click here to see answer by josmiceli(9817)

Question 65504: Solve these proportions.
(3) 9/x = 2/3
(6) 16/m=1/4
(9) y/4=5/8
(12) 2/7 = 5/y
(15) 18/c = 2/7
(18) 63/144 = u/16
(21) 7/b = 4/9
(24) y/18 = 150/126

Click here to see answer by checkley71(8403)

Question 65508: One the graphed equation y=(x-3)(x-5)(x-a), what is the value of a?
Click here to see answer by stanbon(57967)

Question 65512: Hey I wanted to know how to solve these 3 problems:
Identify the leading coefficient, and classify the polynomial by degree and by number of terms.
2) 5x-2
4) 5x cubed -2
6) x squared+5x+2x to the fourth+x cubed -2
thanks!
sstoddard@lakeorion.k12.mi.us
Click here to see answer by stanbon(57967)

Question 65520: I need help with a problem!
"Find the quotient and remainder of f(x)=x^4-2 divided by p(x)=x-1."
Click here to see answer by tanimachatterjee(60)

Question 65523: Ok, the polynomial f(x) divided x-3 results in a quotient of x^2+3x-5 with a remainder of 2. What is f(3)?
Click here to see answer by stanbon(57967)

Question 65529: Hello!
Find a polynomial with leading coefficient 1 and degree 3 that has -1,1, and 3 as roots.
This one seems tough.
Click here to see answer by stanbon(57967)

Question 65530: Find the polynomial f(x) of degree three that has zeroes at 1,2, and 4 such that f(0)=-16.
I don't understand.
Click here to see answer by stanbon(57967)

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