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

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

Question 30253: Divide using synthetic division
(2x^3 - 14x^2 + 19x + 20) / (x - 4)
Click here to see answer by Nate(3500)

Question 30600: What is the maxima and the minima to the nearest tenth of this equation,
-x^4+3x^2+3;-5<= x <=5?
Click here to see answer by venugopalramana(3286)

Question 30074: I have no idea where to even begin. Please help.
Divide using synthetic division.
(2x^3 - 14x^2 + 19x + 20) / (x - 4)
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30622: 3r^8-2r^4+1
Click here to see answer by Earlsdon(6287)

Question 30650: Factor completely.
x^2 - 5x + 4
x^5 - 15x^4 + 54x^3
81x^2 - 25
Thanks for your help!
Click here to see answer by Fermat(127)

Question 30646: I am completely lost when it comes to polynomials.
You dive directly upward from a board that is 48 feet high. After "t" seconds, your height above the water is described by the polynomial:
-16t^2 + 32t + 48
a. Factor the polynomial completely. Begin by factoring -16 from each term.
b. Evaluate both the original polynomial and its factored form for t = 3. Do you get the same answer for each evaulation? Describe what this answer means.
Click here to see answer by checkley71(8403)

Question 30644: Need to simplify the following polynomial:

Click here to see answer by Cintchr(481)

Question 30682: Please explain about leading coefficients when no number is listed, is it a one or is it zero? Example: -x^2+6x-2 Thank you.
Click here to see answer by checkley71(8403)

Question 30685: the cost of 6 gallons of gasoline is $7.74. how much would 11 gallons of the same gasoline cost?
Click here to see answer by checkley71(8403)

Question 30684: the speed of a boat in still water is 24 miles per hour. if the boat travels 54 miles upstream in the same time it takes to travel 90 miles downstream, what is the rate of the stream?
Click here to see answer by Paul(988)

Question 30688: the time required to finish a mathematics test varies directly as the number of problems on the test and inversely as the number of hours spent studying. If a 50-problems test can be completed in 2 hours after 3 hours of studying, how long would a 75-problem test take after 4 hours of studying?
Click here to see answer by Paul(988)

Question 30708: i need to simplify this:
{ { { 2/4c-28 / 9/c-7 } } }
in this case, the middle "/" is the division sign, sorry it's messy!
Click here to see answer by checkley71(8403)

Question 30710: i need to simplify:
{ { {4/x-3/y / 9/y-10/x } } }
in this case, the middle "/" is the division sign
Click here to see answer by Nate(3500)

Question 30704: { { { 3/x-4+8/x+4 } } }
Click here to see answer by Nate(3500)

Question 30750: { { { z/z+5 - 6/z-5 = 50/z^2-25 } } }
the LCD is (z+5)(z-5), but when I do it out I get a really jumbled answer that I know isn't correct.
Click here to see answer by venugopalramana(3286)

Question 30748: find all real numbers excluded from the domain of
{ { { f(x)= x-6/5x^2+7x-6 } } }
the give the domain using set notation
Click here to see answer by venugopalramana(3286)

Question 30755: 2x squared minus 3x squared minus 10x plus 15
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30752: { { { 5/p^2 - 5/q^2 / 1/p + 1/q } } }
Click here to see answer by ikdeep(226)

Question 30752: { { { 5/p^2 - 5/q^2 / 1/p + 1/q } } }
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30760: the area of a circke varies directly as the square of its radius. a circle of radius 5 inches has area 78.5 square inches. find the area to the nearest tenth of a circle of radius 7 inches.
Click here to see answer by ikdeep(226)

Question 30749: { { { x/8 + 5/6= 3x/2 } } }
Click here to see answer by ikdeep(226)

Question 30749: { { { x/8 + 5/6= 3x/2 } } }
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30761:
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30737: I need to solve the equation and I am very confused. Help!!
14 over b-6 = 1/2 + 6 over b-8
Thanks
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30737: I need to solve the equation and I am very confused. Help!!
14 over b-6 = 1/2 + 6 over b-8
Thanks
Click here to see answer by ikdeep(226)

Question 30705: { { { 7/w-5+ 6/w-3 - 3w/w^2-8w+15 } } }
i know you have to factor the denominators.
the answer i got was 13+3w.. i don't think it's right, though.
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30702: { { { m^2+5m/m^2-25 / m^2-3m-18/m^2-11m+30 } } }
Click here to see answer by sdmmadam@yahoo.com(530)

Question 30819: Please solve the equation by factoring:
3x^2-24x+48=0
Click here to see answer by Nate(3500)

Question 30828: how do you multiply or divide an expression?
Click here to see answer by Nate(3500)

Question 30843: what is the answer to-15+c+5=75

Click here to see answer by checkley71(8403)

Question 30855: n cubed minus 64 divided by n minus 4. Write the answer as a polynomial or as a mixed expression.

THANK YOU!
Click here to see answer by acerX(62)

Question 30854: Please help me help me my son's algebra! Problem reads: State the excluded values of the variables.
35y^2z/14yz^2
Click here to see answer by Nate(3500)

Question 30853: Please help me help my son, We need to solve for the exluded values of the variables.
4a/3a+a^2
Click here to see answer by Nate(3500)

Question 30879: Factor completely
2x^2 + 16x + 32
x^3 + 3x^2 + x + 3
3x^2 + 6x - 24
Click here to see answer by longjonsilver(2297)

Question 30880: Use factoring to solve.
(x + 3)(x - 2) = 50
3x^2 = 22x - 7
Click here to see answer by longjonsilver(2297)

Question 30909:
Click here to see answer by ichudov(499)

Question 30918: How do I simplify
(4a^3-8a^2+a^2)(4a)-1
Click here to see answer by acerX(62)

Question 30915: 6+x-x^2 / x^2-13x+42 divided by 2x^2-5x-3 / 2x^2-13x-7
Click here to see answer by ichudov(499)

Question 30915: 6+x-x^2 / x^2-13x+42 divided by 2x^2-5x-3 / 2x^2-13x-7
Click here to see answer by acerX(62)

Question 30912: sketch the graph of the function defined by f(x)= -3/x+3
give the equation of its vertical asymptote.
Click here to see answer by Nate(3500)

Question 30960: Factor completely
5x^2 - 6xy - 8y^2
Click here to see answer by ikdeep(226)

Question 31000: most of the odd problems 1-27
1. three times the reciprocal of a number equals 9 time the reciprocal of 6. Find the number.
Click here to see answer by longjonsilver(2297)

Question 31004: If twice a number added to 3 is divided by the number plus 1, the result is three halves? find the number.
Click here to see answer by acerX(62)

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