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

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

Question 318668: [3+(4b-1)]^2
the answer is 16b^2+32b+16
i need to see the steps to understand how to get this.
Click here to see answer by solver91311(16868)

Question 318674: (6x+6)/(x^2-9) - 2/(x+3)
Click here to see answer by mananth(12270)

Question 318680: How do I solve this? I am having a very hard time. w^2-2w-35
Click here to see answer by Alan3354(30939)

Question 318677: when my teacher gives me a test question and says Factor to 64xy-112xy-144xy
I get confused as to what to do, because there are so many formulas to follow
can you help

Click here to see answer by Alan3354(30939)

Question 318721: 3x squared minus 6x minus 24.............im being asked to factor completely
Click here to see answer by jim_thompson5910(28476)

Question 318745: Will someone please help me solve this problem?
-xt-12x+3x^2+4t
Click here to see answer by mananth(12270)

Question 318741: Will someone please help me solve this problem?
3x^2+5xy-12y^2
Click here to see answer by mananth(12270)

Question 318744: Will some please help me solve this problems?
1) -12z+zt-3t+4z^2

2) 6x^2-13xy+6y^2
Click here to see answer by vleith(2825)

Question 318733: 7√98 + 9√2
Click here to see answer by vleith(2825)

Question 318739: Will someone please help me solve this problem?
80y^7+120y^5+25y^5
Click here to see answer by mananth(12270)

Question 318763: x^2+7x+6/3+3x
Click here to see answer by Fombitz(13828)

Question 318743: Will someone please help me solve this problem?
The greatest common factor fothe two expressions.
4t^3x^2 and 20t^6w^5x^7
Find the least common multiply of the two expressions.
8u^5y^2 and 2u^8y^4z
Click here to see answer by Fombitz(13828)

Question 318780: what are the X intercepts of (5x+10)^6(X-2.7)^15
Click here to see answer by Fombitz(13828)

Question 318798: Divide: (20b^3+7b^2+22b+23) divided by (4b+3)
Click here to see answer by CharlesG2(828)

Question 318800: Add. Simplify if possible:
3u/u^2-64 + u/u-8
Click here to see answer by Fombitz(13828)

Question 318843: What is 25x2-144? How would I solve this problem ?
Click here to see answer by CharlesG2(828)

Question 318796: Divide and Simplify: 7w-28/9 divided by w-4/21w
Click here to see answer by Fombitz(13828)

Question 318849: I have 2 problems I need help with please. The first is: 8/y-1/3=5y solve for y. I came up with y=9. Is this correct? The second problem I do not understand. 20/(a^2+a-6) + 6/(a+3) = 5/(a-2) solve for a. Please advise. Thank you.
Click here to see answer by Fombitz(13828)

Question 318920: find any values of the variable for which each rational expression is undefined. write answers in not equal to.
Click here to see answer by Fombitz(13828)

Question 318929: Please help me solve this equation: . Find the zeros.
Click here to see answer by Fombitz(13828)

Question 318958: A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened. If both pipes are accidentally opened when the tank is full, then how long will it take to empty the tank?
Click here to see answer by stanbon(57214)

Question 318963: Will someone please help me solve thes problems?
1) 36y^5-39y^4-12y^3

2) Factor completely
4x^3-10x^2-24x
Click here to see answer by stanbon(57214)

Question 318986: Will someone please help me with these problems?
1) Factor: x^2-9y^2
2) Factor the quadratic expression: u^2+10u+25
3) Factor completely, The sum of two or difference of two cubes: 64+27z^3
4) Factor Completely: 16x^3-x^3-z^4
Click here to see answer by unlockmath(1599)

Question 318976: factor the left side of the equation into two linear factors: 49x(squared)=36
Click here to see answer by unlockmath(1599)

Question 318987: Will someone please help me solve these problems? I belive I have them correct, but will you check my answers Please.
1)Factor: 36x^2-z^2 = (6x+z)(6x-v)
2) Factor the quadatric expressions: w^2+6w+9 +(w+3) (w=3)
3) factor completely: 4x^3-10x^2-24x=(x-4)(2+3)
4) Factor: 2x^2+3xy-20y^2
Click here to see answer by mananth(12270)

Question 318953: I have a rectangular box with a base of
x + 3 yards. The width and the height are
each x yards. What is the volume in square
yards? Please leave answer in product
binomial form.

Click here to see answer by Fombitz(13828)

Question 319026: Will someone please help me with these problems?
1) Factor: x^2-9y^2
2) Factor the quadratic expression: u^2+10u+25
3) Factor completely, The sum of two or difference of two cubes: 64+27z^3
4) Factor Completely: 16x^3-x^3-z^4

Click here to see answer by stanbon(57214)

Question 319069: I am trying to factor completely, I am not getting the concept.
My problem says factor completely: 24x^2y^3+16xy^4+48y^3, I do not know where to begin.
Click here to see answer by CharlesG2(828)

Question 319082: (9y^5)^2
Click here to see answer by Fombitz(13828)

Question 319085: A rectangular garden is to be constructed, and it was decided that the length should be 10 more than the width. if the total area enclosed will be 180 ft^2, set up and solve an equation to find the dimensions of the garden.
Please help, this is like a foreign language to me!!!!!
Click here to see answer by Fombitz(13828)

Question 319014: Use synthetic substitution to find P(c) for the given polynomial P(x) and the given number x:
P(x) = 4x3 - 2x2 + x - 1; c = -0.5
Click here to see answer by Fombitz(13828)

Question 319121: Factor
8w*2 - 14w + 3
I get
8w*2 - 12w - 2w + 3
then
4w(2w - 3) - (2w + 3) I even understand making it -1 but I am having a hard time understanding how (2w + 3) becomes (2w - 3) as the answer would be (4w-1)(2w-3)
Thanks in advance!
Click here to see answer by Fombitz(13828)

Question 319136: Factor
8w*2 - 14w + 3
I get
8w*2 - 12w - 2w + 3
then
4w(2w - 3) - (2w + 3) I even understand making it -1 but I am having a hard time understanding how (2w + 3) becomes (2w - 3) as the answer would be (4w-1)(2w-3)
Thanks in advance!
Click here to see answer by jim_thompson5910(28476)

Question 319114: FInd three consecutive numbers where the product of the smaller two numbers is 28 less than the suare of the largest number?
Click here to see answer by checkley77(12569)

Question 319149: What is (12t over 5x) divided by (3tx over 4x)? Thanks
Click here to see answer by Fombitz(13828)

Question 319160: Q: Find the degree of the polynomial.
3x3y2 + 6x7y - 6x3y - 6y
I can't solve this, someone help.
Click here to see answer by Fombitz(13828)

Question 319160: Q: Find the degree of the polynomial.
3x3y2 + 6x7y - 6x3y - 6y
I can't solve this, someone help.
Click here to see answer by nyc_function(2733)

Question 319176: Factor completely. If the polynomial cannot be factored, enter PRIME.
9x + 18
I'm having a hard time on this one, someone help.
Click here to see answer by nyc_function(2733)

Question 319178: divide
x^2+4x-5
_________
x+5
I don't know how to divide this fraction problem. Help.
Click here to see answer by nyc_function(2733)

Question 319178: divide
x^2+4x-5
_________
x+5
I don't know how to divide this fraction problem. Help.
Click here to see answer by jim_thompson5910(28476)

Question 319182: Factor completely. If the polynomial cannot be factored, enter PRIME
27x^2-36xy+12y^2
I'm clues on how to do this?help
Click here to see answer by jim_thompson5910(28476)

Question 319185: Solve the equation.
x3 + 9x2 = -8x
x =_____(smallest value)
x =_____
x =_____(largest value)
I'm clues on how to do this one too.help
another thing is, I don't understand the x=____smallest and largest value mean? what are we suppose to write in there?
Click here to see answer by jim_thompson5910(28476)

Question 319189: last question
Factor completely. If the polynomial cannot be factored, enter PRIME.
6a - 6b + ax - bx
I don't know if I have to right answer, so I want to make sure. Some please show me.
Click here to see answer by jim_thompson5910(28476)

Question 319195: Hi, I am taking a algebra class and having trouble. I heard this is a free help site. Can some one help me? There are two question.
How many terms are in the expression 2x2 + 4x - 7 ?

and What is the coefficient of the second term?

Click here to see answer by jim_thompson5910(28476)

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