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

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

Question 571612: 5/w=6/w-1/11
Solve
Click here to see answer by Maths68(1142)

Question 571432: 7a/a-b / 4b/a+b = This problen is 7a over a-b divided by 4b over a+b
Click here to see answer by stanbon(48516)

Question 571111: factor completely
7x^2-7x^2y-28x+28xy
Click here to see answer by KMST(582)

Question 570916: What is the difference in these two questions and how do I do them?
Describe the mathematic process of canceling like factors when working with rational expressions. Demonstrate this with an example. And explain in your own words how factoring is used to solve quadratic equations. Demonstrate the process with an example. Please help this is late and I am so lost
Click here to see answer by harsh.9119(1)

Question 571134: factor completely
7x^2-7x^2y-28x+28xy
Click here to see answer by mananth(10541)

Question 571036: For a polynomial f(x) with real coefficients having given the degree and zeros.
Degree 4; zeros:-2-5i; 5 multiplicity 2
Click here to see answer by reviewermath(39)

Question 571074: Could someone give me an example or two. All this talk about rational expressions has me so lost. This is why I have yet to post my work on this topic. I understand that in math we learn about fractions I get them, my daughter tells me that a fraction is just a funny looking expressions and they are just tools for writing down that one number that is divided by another here is where I get lost even more. I believe that I am making it even harder than it is with all of the rules for working with fractions, I have been told a million times that they are basically all grounded in this math stuff, however I believe that with a little more time they will start to make sense I hope. If I am lost someone help me out please. From what I have learned so far a rational expressions is very much like a fraction, except they usually represent ratios of variable expressions, instead of just ratios of numbers. I believe that the rules for working with rational expressions are basically the same as the rules that I understand for fractions is this correct? I believe all this is even more confusing I hate that this is going to take some practice.
Click here to see answer by Edwin McCravy(6932)

Question 571062: a^2-12a+32=0 The solutions are?
Click here to see answer by mananth(10541)

Question 571045: Factor each polynomial completely. a^2-14a+24
Click here to see answer by nyc_function(2626)

Question 571038: 8xy^4 + 27x^4y factor completely, if prime state
Click here to see answer by nyc_function(2626)

Question 570930: Please explain how to solve: a rectangular pool 20 feet wide and 60ft long is surrounded by a walkway of uniform width. If the total area of the walkway is 516 sq ft, how wide is the walkway?
Click here to see answer by Alan3354(21555)

Question 570907: what natural can replace B to make perfect square trinomial
64X^2+BX+16
Click here to see answer by josmiceli(6780)

Question 570890: factor out polynomial GCF
j(k-5)-10(k-5)
Click here to see answer by Edwin McCravy(6932)

Question 570892: factor out GCF
40x^7y^8+72x^2y^6+72x^4y^3
Click here to see answer by maa.veera@gmail.com(3)

Question 570889: factor out the polynomial gcf
x(y+10)-z(y+10)
Click here to see answer by stanbon(48516)

Question 570887: factor by factoring out gcf 5c-20
Click here to see answer by stanbon(48516)

Question 570781: How do I factor a trinomial? I have seen many examples of this problems but i still dont understand, the problem is, -6s2 - s - 5. Can you help me?
Click here to see answer by mananth(10541)

Question 570679: Find a 4th degree polynomial equation with integer coefficients which has
two irrational roots, one of which is 2+3, and two imaginary
roots, one of which is 3-2i.

Click here to see answer by Edwin McCravy(6932)

Question 570659: how do you get the answer to (2x+6)²
Click here to see answer by Edwin McCravy(6932)

Question 570414: x^6 - 4x^3 + 1 = ?
Click here to see answer by solver91311(12118)

Question 570157: How to factorize x^3-8x^2+11x+20? Please provide me detailed explanation.

Click here to see answer by AnlytcPhil(1116)

Question 570101: Can you please help me simplify this equation: . Can I also get step by step on how to do it.
Click here to see answer by Maths68(1142)

Question 569949: can you describe how to do 24x^3 - 46x^2 + 20x = 0

Click here to see answer by nyc_function(2626)

Question 569954: can you describe how to do x^2 - 9x - 22 = 0

Click here to see answer by jim_thompson5910(21667)

Question 569613: solve b^2-10b+16=0
Click here to see answer by Maths68(1142)

Question 569352: 10r^2/40r
Click here to see answer by IWork4Dessert(57)

Question 568499: Here is another subtracting rational expressions problem that is giving me some trouble. I am fine until I have factored and try to combine numerators. The minus sign throws me off. I am not sure what I am doing wrong, but I think it might be the order in which I am doing things. Do I multiply each numerator separately before combining, or maybe I'm switching the positives and negatives wrong. I need to know the correct order in which combine the numerators. One of my problems is:
3x+1/x-1-x-1/x-3+x+1/x^2-4x+3=
Click here to see answer by KMST(582)

Question 568757: how would you find the lowest common denominator for the following rational expressions: 8/y squared minus 5y, and -2/y squared minus 2y minus 15. I am having trouble grasping the concept of factoring rational expressions ,and any help would be greatly appreciated.
Click here to see answer by stanbon(48516)

Question 568740: what is the zero product property for f(x)=2x^3+6x^2+4x
Click here to see answer by solver91311(12118)

Question 568725: How do I factor this problem completly? (75a^3-12a)
Click here to see answer by solver91311(12118)

Question 568639: show all work. Bob’s Barber Shop estimates their gross revenue for the second quarter to be given by the polynomial 5x3 – 9x2 – 2x – 3. The shop estimates their costs for that quarter to be given by x2 + 4x + 7. For the second quarter, find and simplify a polynomial that will represent their profit. Note: Profit = Revenue - Costs
Click here to see answer by solver91311(12118)

Question 568507: (a + b - c)(a + b + c)
Click here to see answer by jim_thompson5910(21667)

Question 568486: I am having a little difficulty with subtracting rational expressions. Specifically, it is the part after the factoring is complete and the numerators are being combined. The minus sign is throwing me off. I know that the signs to the right of the minus sign change, but I'm having a little trouble with the combining. One of my problems is as follows:
2x-3/x+5-x^2-4x-19/x^2+8x+15

Click here to see answer by stanbon(48516)

Question 568377: The sides of a triangle have lengths of (3x-5),(x-7) and (7x+12). What is the perimeter of the triangle in terms of X?
Click here to see answer by bucky(2097)

Question 568369: I need help solving this (y+1)(3y^2+3y)
Click here to see answer by mananth(10541)

Question 568349: Please help me find the x-intercepts and the y-intercepts for F(x)= -x^2 + 2x + 24
Thank you
Click here to see answer by stanbon(48516)

Question 568336: Problem is F(x) = -(x-2)^2 -7 I need to find the vertex , line of symmetry, maximum/minimum value I am not sure if I am doing these problems right can anyone help me with a step by step? Thanks
Click here to see answer by stanbon(48516)

Question 568309: i really dont get how to factor the polynomial can you help[ me plz.
Click here to see answer by TutorDelphia(189)

Question 568283: ax+3=2x-5y
Solve for x.
Click here to see answer by stanbon(48516)

Question 568247: show all work. Consider that the age, x, of a unicorn in human equivalent years can be given by the formula f(x) = - 0.003518x^4 + 0.087326x^3 – 1.3367x^2 + 12.46x + 2.914. When a unicorn is 2.5 years old, what is its age in human equivalent years? What about when it is 12 years old?
Click here to see answer by richard1234(4789)

Question 568029: 2x^+7x-30
Click here to see answer by stanbon(48516)

Question 567942: Could you please help me express the following problem in the simplest form. Can you please show your work so I can see how you got the answer. Thanks!!
3
_________
a + 2

plus
8
_________
a - 5

Click here to see answer by Earlsdon(6098)

Question 567426: The discriminant of the equation 8x^2-9x+5=0 is
Click here to see answer by jim_thompson5910(21667)

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