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

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

Question 33297: The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters.
Write h as a function of r.
What is the measurement of the height if the radius of the cylinder is 2 centimeters?
Graph this function.

Click here to see answer by Fermat(127)

Question 33693: I need help on this:
Find a polynomial equation of lowest degree with integer coefficients and has 0,3, and also plus/minus square root of 2 as zeros.
Click here to see answer by Earlsdon(6287)

Question 33696: I have been working and reworking this problem all night and day; please help if possible! Thanks in advance
Solve by any method and show equations and major steps:
Computerwarehouse.com charges $3 for shipping orders up to 10 lb, $5 for orders from 10 lb to 15 lb, and $7.50 for orders of 15 lb or more. One day shipping charges for 150 orders totaled $680. The number of orders under 10 lb was three times the number of orders weighing 15 lb or more. Find the number of packages shipped at each rate.
Click here to see answer by Paul(988)

Question 33711: please help me solve this problem

Click here to see answer by ntnk(54)

Question 33716: Could someone help me with this word problem please ?
Solve by any method and show equations and major steps. A student has a total of 225 points on three tests. The sum of the scores on the first and second tests exceeds the score on the third test by 61. The first score exceeds the second by 6. Find the three scores
Click here to see answer by mukhopadhyay(490)

Question 33694: Find a polynomial equation of lowest degree with integer coefficients and has 0, 3, and plus/minus sq rt of 2 as zeros. Please, anyone help.
Click here to see answer by venugopalramana(3286)

Question 33708: (x^2+5x+6)(x+5)
Click here to see answer by mukhopadhyay(490)

Question 33715: Could someone help me with his word problem?
Solve by any method and show equations and major steps:
Computerwarehouse.com charges $3 for shipping orders up to 10 lb, $5 for orders from 10 lb to 15 lb, and $7.50 for orders of 15 lb or more. One day shipping charges for 150 orders totaled $680. The number of orders under 10 lb was three times the number of orders weighing 15 lb or more. Find the number of packages shipped at each rate.
Click here to see answer by Nate(3500)

Question 33764: I need to know how to solve (5x-2)(5x+2) and to show my work too.
Click here to see answer by Cintchr(481)

Question 33763: I need to know how to sovle (x-11)(x+11) and to show my work.
Click here to see answer by Cintchr(481)

Question 33784: I'm trying to find all real zeros of the following polynomial:
P(x) = 3x^3-5x^2-8x-2. I'm having trouble with the decimal numbers.
Thank You very much!
Click here to see answer by stanbon(57282)

Question 33804: Please help me with this question: Name the x-intercepts and the vertex of the graph of y=(x+3)(x-1). Then sketch the graph of the function.
Click here to see answer by stanbon(57282)

Question 33807: Please help mw solve this equation: Solve by factoring.
Click here to see answer by stanbon(57282)

Question 33806: Please help mw solve this equation: Solve by factoring.
Click here to see answer by Lchanddragon(3)

Question 33809: Please help me solve this equation by factoring:
Click here to see answer by Earlsdon(6287)

Question 33808: Please help me solve this trinomial by factoring:
Click here to see answer by venugopalramana(3286)

Question 33788: I'm trying to find all rational zeros of the following polynomial and then find the irrational zeros. using the Rational Zeros Theorem, the Upper and Lower Bounds Theorem, Descartes' Rule of Signs, the quadratic formula, or other factoring techniques:
P(x) = 2x^4 + 15x^3 +31 x^2 + 20x + 4
Thank You very much!
Click here to see answer by venugopalramana(3286)

Question 33831: can you help me w/this please simplifying (3/x + 2/y)/5/x + 6/y^2
Click here to see answer by mukhopadhyay(490)

Question 33762: How would you solve (x-12)^2 ?
I need to know how to solve this and show my work too.
(x-12)(x+12)= FOIL it, x^2-12x+12x-144 =
x^2-144
Click here to see answer by mukhopadhyay(490)

Question 33684: Hello. The instructions say simplify the expression and assume that all variables represent nonzero integers. The problem itself is (x(-3a - 2))^-4. I have come up with 1 / x(12a+8) but I am not positive of my answer. Any help would be appreciated. Thanks.
Click here to see answer by kietra(57)

Question 32667: x/x+4 = 4/x+4 + 2
what is x?
Click here to see answer by kietra(57)

Question 33760: Can you please help me solve (w-9)^2
These kind of problems are a little complicated to me and I need your help in solving and showing my work.
Click here to see answer by kietra(57)

Question 33881: hey, im really stuck on these problems, so if anyone can help me, then that would be fabulous!
Directions: write the square of the binomial as a trinomial.

Click here to see answer by stanbon(57282)

Question 33885: hey, im really stuck on these problems, so if anyone can help me, then that would be fabulous!Please help me solve this equation:
This is what i did, but i think it's wrong:

yeah, i think that it's seriously wrong, so help!
and explain it,very clear and precise,please!

Click here to see answer by Nate(3500)

Question 33887: I need help in answering this problem:
(x-5)(2x^2-7x-2)
I have to simplify the problem and write it in standard form.
Click here to see answer by Nate(3500)

Question 33888: I need help in answering this problem:
(2x^2 + y^2)^2
I have to simplify it.
Click here to see answer by Nate(3500)

Question 33093: (x-6)(x-1)
(x2+4x+3)(x-6)
Click here to see answer by kietra(57)

Question 33891: I need help in answering this problem:
(x^2 + 2y)(x^2 - 2y)
All I have to do is simplify it.
Click here to see answer by Lchanddragon(3)

Question 33911: Please help me solve this problem: g(-2)where g(x)=x^6-3x^5+8x^3-4x^2+7x-11
Click here to see answer by sarah_adam(201)

Question 33927: A polynomial P is given
a.) Factor P into linear and irreducible quadratic factors with real coefficients.
b.) Factor P completely into linear factors with complex coefficients
46.) P(x) = x^3-2x-4
I got: a.) (x-4)(x^2-2)
b.) (x-4)(x-2i)(x+2i) is this factored correctly?
48.) P(x) = x^4+8x^2+16
a.) (x^2+4)^2
b.) (x-2i)^2(x+2i)^2
Sorry, I'm getting mixed up with the imaginary numbers!
Thank you very much - this is a tremendous help!
Click here to see answer by stanbon(57282)

Question 33901: I need help in answering this problem:
a^2 + 7a + 6
I only need to factor it.
Click here to see answer by fanism(39)

Question 33896: last one for today-please help me!!!!!!!!
Factor the expression completely

Click here to see answer by fanism(39)

Question 33941: I need help simplifying this problem:
(5a^2 - 6x)(5a^2 + 6x)
Click here to see answer by stanbon(57282)

Question 33944: I need help in factoring this:
x^2 - 14x + 48
Click here to see answer by stanbon(57282)

Question 30767: THE QUESTION IS WRITE NUMBER IN STANDARD FORM a+bi.
4-sqrt(-20)
______
2
Click here to see answer by stanbon(57282)

Question 33971: I need to know how to factor this problem and show my work:
18x^2 - 27x + 4
Click here to see answer by fanism(39)

Question 33942: I need help in factoring this:
a^2 + 7a + 6
Click here to see answer by fanism(39)

Question 34004: 1.Combine:
3/48-12/75+ 4/12
Click here to see answer by AnlytcPhil(1276)

Question 34002: 2. Multiply and simplify:

x^2-x-20 * x^2+7x+10

___________ ___________

x^2-3x-10 x^2+4x-5
Click here to see answer by elima(1433)

Question 33950: I need help factoring this:
18x^2 - 27x + 4
Click here to see answer by elima(1433)

Question 34020: My book does not go into much help with this problem:
If y = f(x)=5x+1 find each value and my book gives me f(2/5) Not much further instruction on this one. Any help would really be appreciated.
Thank you, Liz
Click here to see answer by lyra(94)

Question 34000: 1. Simplify: x^2+x-12/2x^2-3x-9
Click here to see answer by fanism(39)

Question 34051: subtract the following polynomials:
(6x^2-2x-9)-(-10-2x+6x^2)
Click here to see answer by sarah_adam(201)

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