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

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

Question 445311: I need help answering this math problem.
81x^2 over 5x^2-10x+5* 5x-5 over 9x can you help me and explain how to get to the answer thank you
Click here to see answer by mananth(16946)

Question 445437: Rationalize the denominator. Assume that all variables represent positive real numbers.

Click here to see answer by MathLover1(20849)

Question 445534: 2d^2 + 5d - 3 = 0
Click here to see answer by jorel1380(3719)

Question 445534: 2d^2 + 5d - 3 = 0
Click here to see answer by stanbon(75887)

Question 445519: (2s^2 - 9y)(2s^2 + 9y)
Click here to see answer by Gogonati(855)

Question 445447: The area of a triangle is 270. It has a base of 15 and a height of 12x. What is the area of a circle with a radius of 2x?
Click here to see answer by Gogonati(855)

Question 445570: 4y(-y3 -2y -1)
Click here to see answer by checkley79(3341)

Question 445647: 5x-20
_____
4-x
Click here to see answer by stanbon(75887)

Question 445651: (x^-8x+15) divided by (x-5)

the x^ means x squared I wasn't sure how to write it
thanks
Click here to see answer by stanbon(75887)

Question 445795: how do you simplify 6b2 + 42b
----------
b3

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

Question 445836: Write the equation p(x)=2x^4+9x^3+17x^2+19x-15 in factored form please
Click here to see answer by stanbon(75887)

Question 445880: Here is another word problem that I don't understand can some please help me? Thank you.
The function f(x) = 180x/100 � x models the cost, f(x) in millions of dollars, to remove x% of a rivers pollutants. If the government commits $420 million for this project, what percentage of the pollutants can be removed?
? % of the pollutants can be removed.

Click here to see answer by edjones(8007)

Question 445876: This word problem has me stumped can someone help me please? Thank you.
A square has an area of 36x^2 + 60x + 25. Find the length of a side. Make a sketch of the square.
The length of a side is ? (Simplify your answer)
Write the area of each rectangle in the sketch.

Click here to see answer by edjones(8007)

Question 445886: Its 6 over 5x to the power of 8 plus 4 over 3x to the power of 6
Click here to see answer by edjones(8007)

Question 445875: I have much difficulty working word problems can someone please help me? Thank you so much.
A hardware supplier manufactures three kinds of clamps, types A, B, and C. Production restrictions for it to make 10 more type C clamps than the total of the other clamps, and three times as many type B clamps as type A clamps. The shop must produce 330 per day, how many of each type are made per day?
A clamps?
B clamps?
C clamps?

Click here to see answer by edjones(8007)

Question 445872: I need help please can anyone help me? Thank you
Find the variation constant in which y varies inversely as x, and the following condition exists. y = 21 when x = 1/7.
Click here to see answer by edjones(8007)

Question 445940: Can someone please help me with the problem below? Thank you very much.
Solve
(2+ √5) (2-√5)

Click here to see answer by Gogonati(855)

Question 446027: please help me.
2(3-x)<4x+8
Click here to see answer by Gogonati(855)

Question 446075: Can someone help me please I am not sure how to do this thank you so much.
Solve without a calculator
log2^1

Click here to see answer by richard1234(7193)

Question 446093: What is the sum of the polynomial (5x^3+4x-2x)+(4x^2+3x^2-6)
Click here to see answer by MathLover1(20849)

Question 446068: I need some help please with this problem and I need to see how you worked it if possible, thank you so much.
Factor the trinomial completely
x^2 +6x -16

Click here to see answer by rfer(16322)

Question 446125: Factor.
s^4-50s^2+625
Click here to see answer by robertb(5830)

Question 445576: what is 4w^2 - 5w -6 factored out?
what is 8x^2+30x +7 factored?
thanks :)
ps-- the answer should be in parenthesis like so : (2d+5)(2d-7)
Click here to see answer by robertb(5830)

Question 446209: This is overwhelming can someone please help me? Thank you very much.
A. Write the expression (-8)^5/3) in radical notation.
B. Evaluate the radical expression.
A. Write the expression in radical notation. Do not evaluate.
(-8)^5/3 =? ( type an exact answer, using radicals as needed)
B. Evaluate the radical expression
? (Simplify your answer. Type an integer or a fraction)

Click here to see answer by Alan3354(69443)

Question 446207: Help please, I don't understand how to solve this, thank you I appreciate it.
Multiply
(2+ √5) (2-√5)

Click here to see answer by Alan3354(69443)

Question 446207: Help please, I don't understand how to solve this, thank you I appreciate it.
Multiply
(2+ √5) (2-√5)

Click here to see answer by Leaf W.(135)

Question 446205: I am having difficulties solve the following problem, can someone please help me? Thank you
Solve A) symbolically B) graphically, and C) numerically.
8x+4y=8
-8x+2y=8

Click here to see answer by stanbon(75887)

Question 446216: Help please, thank you
Solve the equation
x^2 + 19 =0
The solution set is x =? (use a comma to separate answers. Express complex numbers in terms of i. Type an exact answer, using radicals as need.)

Click here to see answer by stanbon(75887)

Question 446082: i forget how to do this Find all numbers for which the rational expression is undefined. (r^3-8r)/(r^2-64)please help
Click here to see answer by rwm(914)

Question 446215: I really need some help here please, thank you
Express in terms of i
√(-63)
√(-63) = ? (Simplify your answer in the form of a+bi)

Click here to see answer by stanbon(75887)

Question 446214: Can someone please help with this? Thank you so much.
If possible, evaluate f(x) at the given values of x
f(x) = x^1/4
x=16, -14
f(16) = ? (round to the nearest hundredth as needed)
f(-14) = ? (round to the nearest hundredth as needed)

Click here to see answer by stanbon(75887)

Question 446245: i need help on how to do these please, factor using special products??
1) 9x^2-12x+4
2) 16x^2+8xy+y^2
3) x^2(x^4-16)-25(x^4-16)
4) 4x^2+12xy+9y^2-25z^2
5) 15x^2-21xy+10xy-14y^2
6) 36x^2+24x+4
7) x(x^2+y^2)-5x(x^2+y^2)
Click here to see answer by Earlsdon(6294)

Question 446271: If 2 is one zero of he polynomial a^3-3a^2-10a+24, find the other zeroes.
Click here to see answer by Alan3354(69443)

Question 446368: factor the expression completely:
x^4-9x^2
please help me as as u cannnnnnnnnnnnnnnnn
waiting for replyyy
Click here to see answer by mananth(16946)

Question 446368: factor the expression completely:
x^4-9x^2
please help me as as u cannnnnnnnnnnnnnnnn
waiting for replyyy
Click here to see answer by nerdybill(7384)

Question 446395: factor the expression completely
m^3+11m^2+28m
please help mee solve ti soonnnn
Click here to see answer by stanbon(75887)

Question 446395: factor the expression completely
m^3+11m^2+28m
please help mee solve ti soonnnn
Click here to see answer by lwsshak3(11628)

Question 446485: (10x4-6x-15+5x3) divide(/) (2x+1)
Click here to see answer by stanbon(75887)

Question 446527: (10x^4-6x-15+5x^3)/(2x+1)
Long Division Please
Click here to see answer by mohammadrezai(14)

Question 446461: (√(u)-√(v))/(√(u)+√(v))
Click here to see answer by mohammadrezai(14)

Question 446462: need help with dividing (35b^3+25b^2+30b+43)�(5b+5)i think the correct answer is 7b^2+8+3/5b+5 not sure
Click here to see answer by mohammadrezai(14)

Question 446581: factor the expressions completely:
x^4+4x^3-45x^2
x^3+2x^2-4x-8
please solve these tow question soon
thankz
Click here to see answer by chriswen(106)

Question 446632: I am having trouble trying to solve the problem z-5/z+2 = 1/7 I do not know where to start on this. I am not sure if I got the lcm correct but I think it is 7(z+2)
Click here to see answer by scott8148(6628)

Question 446647: I need to round this to the nearest hundreth, can someone please help me I have problems rounding. Thanks so much.
I= 7920/520= ??

Click here to see answer by stanbon(75887)

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, 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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