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

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

Question 943810: 2x^2+5x-3/1-2x
Click here to see answer by Alan3354(69443)

Question 944060: perform the metric-metric conversion
0.08g = _______mg
4,600 cucm =_____---liters
Click here to see answer by macston(5194)

Question 944051: I really need help designing my own word problem that involves a rational equation, and needs to have a whole number solution. If I could get some examples that'd really help me out!
Click here to see answer by josgarithmetic(39614)

Question 944141: Please can I get help started with this, i cannot move on until the rest of the segment until i get this one done:
Find the real zeros of each polynomial function by factoring. The number in parentheses to the right of each polynomial indicates the number of real zeros of the given polynomial function.
P(x) = x4 − 29x2 + 100 (4)
Let x2 = u, then; x4 − 29x2 + 100 = ???
TIA
Click here to see answer by MathTherapy(10549)

Question 944498: I haven't done math in over 12 years need help please thank you. How do I solve this problem?
1/6x+2/6 2x-12+3x-7

30 15

Click here to see answer by Alan3354(69443)

Question 944518: Hello, good morning. I need help with this math problem.
It says: "Simplify: [(2x^-1)+(3x^-1)]/[(9x^2)-(4y^2)]"
Could you explain it to me step by step?
Thank you in advance.
Click here to see answer by MathLover1(20849)

Question 944523: Hello, good morning. I need help with this math problem.
It says: "Simplify: [(2x^-1)+(3y^-1)]/[(9x^2)-(4y^2)]"
Could you explain it to me step by step?
Thank you in advance.
Click here to see answer by josgarithmetic(39614)

Question 944631: 1) The area of a rectangular garden is given by the trinomial x^2+x-42, what are the possible dimensions of the rectangle? Use factoring. Find a pair of values that could represent the dimensions if the rectangle.
2) A familt is having a pool built in their backyard. If their yard is rectangular and measures 6x by 10x and the pool is circular with a radius of 2x how much of the yard will be left over after the pool is built? Write your answer in factored form.

Click here to see answer by josgarithmetic(39614)

Question 944715: My online assignment is asking me this:
Now factor the trinomial: u2 - 29u + 100, and then substitute u = x2.
u2 − 29u + 100 = (u-4)(u − 25)
"Correct: Your answer is correct" it is telling me,
Now it has another answer box there wanting me to substitute I am assuming? In which case I thought i was doing it right, but apparently not because it will not accept any answer I give. I cannot move on until I get this one.
TIA.
Click here to see answer by jim_thompson5910(35256)

Question 944868: Hello! I need help understanding why (x+y)2 is not equal to x2+y2? I am taking an online course and I have viewed my text book but have not seen any problems like this one on how to solve it. Can you please help me?
Click here to see answer by richard1234(7193)

Question 944876: a sister is 4 years older than her brother if his age is represented by X, then which expression represents the older sister's age in terms of x?
Click here to see answer by macston(5194)

Question 945074: Write a polynomial that represents the difference between the perimeter of a square and the circumference of a circle that have the same side length and diameter, represented by x. What is the difference when x is 9 inches? Use 3.14 for π.
Click here to see answer by josgarithmetic(39614)

Question 945140: The ratio of male students to female students at a certain university is 5 to 13. If there is a total of 15,300 students, find the number of male students and the number of female students.
Click here to see answer by macston(5194)

Question 945239: When solving polynomials if their is a "x" and "y" in the equation why does "x" always get put in front of the "y".
Click here to see answer by Fombitz(32388)

Question 945238: When solving polynomials if their is a "x" and "y" in the equation why does "x" always get put in front of the "y".
Click here to see answer by Fombitz(32388)

Question 945244: What is 12=x divided by 6 (this is a fraction)

Click here to see answer by Fombitz(32388)

Question 945438: divide Rs.32000 among a,b,c in the ratio of 1/4,5/16,7/16 respectively
Click here to see answer by Fombitz(32388)

Question 945440: the income of A and B are in the ratio of 7:5. their expenses are In the ratio of 9:8.an increase of A�s expenditure by rupees 100 and decrease of B�s expenditure by rupees 200 makes their savings rupees 400 each. Find their incomes
Click here to see answer by dkppathak(439)

Question 945437: Divide Rs. 140 between A and B so that A gets twice the money that B gets and Rs.20 more
Click here to see answer by macston(5194)

Question 945472: Please help me solve this equation:
Click here to see answer by Fombitz(32388)

Question 945473: The average of two values is 2x+y. If a third value of 5x+4y is included, find the average of all three of the values. Express your answer as a simplified polynomial expression in terms of x and y. Thanks for your help.
Click here to see answer by Fombitz(32388)

Question 945489: 2r^3-4r^2-8r-32 / 2r^2+4r+8
Click here to see answer by Fombitz(32388)

Question 945439: the ratio in the ages of A,B,C, six years before was 2:3:5 if the sum of their present ages is 168, find their ages
Click here to see answer by Fombitz(32388)

Question 945674: I am suppose to factor completely but am unsure how to do
75-60m+12m^2
Click here to see answer by josgarithmetic(39614)

Question 945674: I am suppose to factor completely but am unsure how to do
75-60m+12m^2
Click here to see answer by lwsshak3(11628)

Question 945674: I am suppose to factor completely but am unsure how to do
75-60m+12m^2
Click here to see answer by TimothyLamb(4379)

Question 945674: I am suppose to factor completely but am unsure how to do
75-60m+12m^2
Click here to see answer by MathTherapy(10549)

Question 945698: The Reflecting Pool near the Washington
Monument is a rectangle with a length that is 50 feet more than 15 times its
width. The depth of the pool is 1/50 of the width. Let w represent the width of the pool.
A. Write polynomial expressions for the length and depth of the pool in terms of w. Then write a polynomial expression for the volume of the pool in terms of w.
B.The depth of the pool is 3 feet. What is the volume of the pool?
Click here to see answer by josmiceli(19441)

Question 945696: Sandy says the product of x2 and x3 +5x2 +1 is x6 +5x4 +x2. Explain the error that Sandy made and give the correct product.
Click here to see answer by MathLover1(20849)

Question 945624: milk and water are mixed in a vessel A in a ratio of 5:2 and in a vessels B in the ratio of 8:5 . In what ratio should quantities be taken from the two vessels so as to form a mixture , in which milk and water will be in the ratio of 9:4 ?

Click here to see answer by josgarithmetic(39614)

Question 945626: the ratios of pure milK and water in 4 samples are 2:1: ,3:2 ,5:3 and 7:5. A mixture is made by taking equal quantities from each sample .what is the ratio of pure milk and water in the final mixture ?

Click here to see answer by josgarithmetic(39614)

Question 945694: The town swimming pool is d feet deep. The width of the pool is 10 feet greater than 5 times the depth. The length of the pool is 25 feet greater than the width.
A.Write and simplify an expression to represent the volume of the pool.
B. If the pool holds 51,000 ft3 of water, what are the dimensions of the pool?

Click here to see answer by ankor@dixie-net.com(22740)

Question 945808: what is the solution of this problem? can you help me to solve this? x+7 divided by 20x squared minus 12x plus 49 hoping for your response :)

Click here to see answer by richard1234(7193)

Question 945917: Factor completely:
75-6m+12m^2
Click here to see answer by Alan3354(69443)

Question 945919: Factor completely:
-c^4-c^3+56^2
Click here to see answer by Alan3354(69443)

Question 945828: a pot contains salt water mixture. the mixture is 72 gram out of which 18 gram is taken out and 18 gram fresh water put in its place.again 18 gram mixture is taken out and 18 gram fresh water is put into it. if in the last mixture the salt is 5%,findout the weight of salt in the initial mixture.
Click here to see answer by josgarithmetic(39614)

Question 945897: x-5/x^3-10x^2+20x+26
I wasn't sure how to put the division sign for this problem,
x-5 the long division sign then the resting the problem.
Click here to see answer by MathLover1(20849)

Question 945826: silver ,copper ,lead and zinc are melted together in a ratio of 2:6:7:8 and formed into a mass . one kg of zinc cost Rs 15, a kg of lead 20% more than that of zinc,a kg of silver 20 times that of lead . if the quantity melted was sold at Rs.60 per kg,find the price of copper in rupees per kilogram.

Click here to see answer by ankor@dixie-net.com(22740)

Question 946019: Solve the polynomial inequality. Express the solution set in interval notation.
{7}/{x + 3} > {8}/{x - 3}
Click here to see answer by josgarithmetic(39614)

Question 946019: Solve the polynomial inequality. Express the solution set in interval notation.
{7}/{x + 3} > {8}/{x - 3}
Click here to see answer by MathTherapy(10549)

Question 945625: three equal pots contains mixtures of milk and water in the ratio of 7:1:5:3 and 13:12 respectively . The mixtures of the three pots are poured into a big pot .find the ratio of milk and water in this big pot .

Click here to see answer by Fombitz(32388)

Question 945623: cement,sand and stone are mixed in the ratio of 1:5/2:5 in a mixture by volume .how many cubic metre of each of the three materiasls will be needed to make a total volume of 51 cubic metre of mixtre ?

Click here to see answer by Fombitz(32388)

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, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105