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

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Question 1040663: what about this my friend can you help me perform and indicate operation of polynomials expression
subtract the sum of (1 + 5x^2 -6x^3) and (14x^3 -7x^2 + 2) from 5x^3 +10x

Click here to see answer by MathTherapy(10549) About Me 

Question 1040687: Please help with factoring completely.
1.x^3-8
2.t^2-4t-21
3.x^3-2x^2-4x+8
4.27^6+125y^3

Click here to see answer by ikleyn(52752) About Me 

Question 1040781: Please help! I went through my book and can not find examples for this
Find the nth-degree polynomial function with real coefficients satisfying the given conditions:
n=3;4 and 2i are zeros; f(-1)= -50

Click here to see answer by Fombitz(32388) About Me 
Question 1040781: Please help! I went through my book and can not find examples for this
Find the nth-degree polynomial function with real coefficients satisfying the given conditions:
n=3;4 and 2i are zeros; f(-1)= -50

Click here to see answer by MathDaddy(1) About Me 

Question 1040782: x exponent 3 + 2x exponent 2 -x-2
using the leading coefficient test to determine the graph's end behavior and fine the x and y intercept.

Click here to see answer by Alan3354(69443) About Me 

Question 1040816: When x^4 +kx^3 +1 is ÷ by x-1 the remainder is 2. Find K.
Can you show me the steps for finding K? Thank you!

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1040819: What is the multiplicity of the root "x=2" for poly. x^4 - 4x^3 + 3x^2 + 4x - 4?
Click here to see answer by stanbon(75887) About Me 

Question 1040832: Find a cubic polynomial w/ integer coefficients & roots: positive 1, -1/4, and positive 3/2.
Click here to see answer by Boreal(15235) About Me 
Question 1040832: Find a cubic polynomial w/ integer coefficients & roots: positive 1, -1/4, and positive 3/2.
Click here to see answer by solver91311(24713) About Me 
Question 1040832: Find a cubic polynomial w/ integer coefficients & roots: positive 1, -1/4, and positive 3/2.
Click here to see answer by ikleyn(52752) About Me 

Question 1040820: What is the coefficient of x^-5 in the expansion of (x^3 - 1/x^2)^10?
Click here to see answer by robertb(5830) About Me 

Question 1040979: is -6xy is a factor of +6xy?
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1040979: is -6xy is a factor of +6xy?
Click here to see answer by Theo(13342) About Me 

Question 1041060: Rewrite the equation w=exp(2y+8z-3x) as a product of three terms.
Click here to see answer by Alan3354(69443) About Me 

Question 1041064: Simplify the following expression: z=log(e5y).

Side note: "5Y" is an exponent. I couldn't get it to superscript in this box.

Click here to see answer by Alan3354(69443) About Me 

Question 1041123: The sum of a number is twice of its reciprocal which is 55. Solve for the number.
Click here to see answer by Boreal(15235) About Me 

Question 1041135: Let sets A and B have the following integers as elements:
A = {1,2,3,4,5}, B = {3,5,7,9}
Let C = A U B, where "U" is the union of the two sets. Find C.

Click here to see answer by stanbon(75887) About Me 

Question 1041256: Can u help me factorise this equation
x^2-2xy+y^2+3x-3y+2

Click here to see answer by robertb(5830) About Me 

Question 1041273: Can u help me to factorise this equation
6.3^2x + 10.3^x+1 + 36

Click here to see answer by robertb(5830) About Me 

Question 1041277: Can u help me factorise this
2^3x+2y + 2^4+y.3-2^y - 6

Click here to see answer by stanbon(75887) About Me 
Question 1041277: Can u help me factorise this
2^3x+2y + 2^4+y.3-2^y - 6

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1041277: Can u help me factorise this
2^3x+2y + 2^4+y.3-2^y - 6

Click here to see answer by AnlytcPhil(1806) About Me 

Question 1041276: Factorise this equation
2^3x+2y + 2^4+y.3-2^y - 6

Click here to see answer by stanbon(75887) About Me 

Question 1041275: Can u help me factorise this equation... i still cant master this type of question
2^3x+2y + 2^4+y.3-2^y - 6

Click here to see answer by stanbon(75887) About Me 

Question 1041251: I wanto ask a question.. can u help me to factorise this equation
x^2-2xy+y^2+3x-3y+2

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1041309: Hi. Could you tell me how I do this problem?
(27a^3-8b^3)/(b^2-b-6)*(bc-b-3c+3)/(3ac-2bc-3a+2b)

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1041326: I request a solution to find the least common multiples of two polynomials: (2x^4-6x^3-8x^2) and (4x^3-4x), Thank you!
I factored each polynomial as shown: (2x^2)(x-4)(x+1) and 4x(x-1)

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1041296: P%28x%29+=+-x%5E3+%2B+%2827%2F2%29+x%5E2+-+60x+%2B+100, x ≥ 5 is an approximation of the total profit (in thousands of dollars) from the sale of x hundred thousand tires. Find the number of hundred thousands of tires that must be sold to maximize profit.
I know the answer is 5, but how exactly do I solve this?

Click here to see answer by josmiceli(19441) About Me 

Question 1041378: The first four terms in the expansion of %281%2Bpx%29%5En, where n > 0, are
+1+%2B+q%2Ax+%2B+66%2Ap%5E2%2Ax%5E2+%2B+5940x%5E3. Calculate the values of n, of p, and of q.

Click here to see answer by solver91311(24713) About Me 

Question 1041514: A family needs to build fencing around their rectangular home and square swimming pool, depicted below.
The total amount of fencing they need can be written as
x + 10.

If x = 5;
The family needs
yards of fencing for their home.

The family needs
yards of fencing for their pool.

Click here to see answer by Alan3354(69443) About Me 

Question 1041555: f(x)=x^3-8x^2+16x
What is the multiple zero and multipicity

Click here to see answer by solver91311(24713) About Me 

Question 1041825: Form a​ fifth-degree polynomial function with real coefficients such that i, 1-2i, and -4 are zeros and f(0)=40
Click here to see answer by Fombitz(32388) About Me 

Question 1042043: I am having issues with
e with exponent of 2x minus e exponent x minus 6 =0

Click here to see answer by stanbon(75887) About Me 

Question 1042042: I am having a few issues if someone could help. The first problem is
3 with exponent of x+4 = 7 with exponent of 2x-1
Through all my notes I am finding nothing like this, my exmples are where I would take 3 as my base for 2nd equation

Click here to see answer by stanbon(75887) About Me 

Question 1042051: Last problem I'm having issues with is
e^(12-5x)-7=123
I got as far as adding 7 to both sides and got stuck

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1042109: Evaluate f(-9) for f(x)=(-19+3x)/2
Click here to see answer by josgarithmetic(39613) About Me 
Question 1042109: Evaluate f(-9) for f(x)=(-19+3x)/2
Click here to see answer by MathTherapy(10549) About Me 

Question 1042164: Write two different polynomial functions which are a degree of 5 and belong to the same family. Write the general equation which describes the family of functions.
Click here to see answer by ikleyn(52752) About Me 

Question 1042147: Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it to graph the function and verify the real zeros and the given function value.
n=3
-4 and 1+2i are zeros
f(2)=30
f(x)=

Click here to see answer by josgarithmetic(39613) About Me 

Question 1042229: find a real polynomial of least degree having real coefficients with zeros -2, 3, and 3-i

Click here to see answer by stanbon(75887) About Me 

Question 1042460: a^2y+a for a=−1.5 and y=−8.5

Click here to see answer by ikleyn(52752) About Me 

Question 1042472: Form a polynomial whose zeros and degree are given.
Zeros:-5, multiplicity 2; 4, multiplicity 1; degree 3

Click here to see answer by Alan3354(69443) About Me 

Question 1042530: how do I solve 12t(t+m)(t-3m) what are the steps and solution.
Click here to see answer by josgarithmetic(39613) About Me 

Question 1042546: Please help me solving this:
Simplify: %281%2Bsqrt%282%29%2Bsqrt%283%29%29%2F%281-sqrt%282%29%2Bsqrt%283%29%29

Click here to see answer by ana@10(4) About Me 

Question 1042556: A rectangular plot has the length of 6 meters longer than it's width. The area of the plot is 16 square meters. Find the length and width of the plot.

Click here to see answer by jorel555(1290) About Me 

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