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

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

Question 330341: Collect like terms and then arrange them in descending order.
-3x+3x^4-4x+8x^4+4
I have no idea where to start...
Click here to see answer by jim_thompson5910(28704)

Question 330346: Hello
Darla is building a new desk. To make sure she had made a square corner, she measure 5 feet from the corner along one edge and 8 feet feet from the corner along the other edge. How long should the diagnonal be between those two points if the corner is a right angle.
Diagonal ? feet
Click here to see answer by edjones(7569)

Question 330429: factor completely. 9a^2-100
Click here to see answer by scott8148(6628)

Question 330425: Express using a positive exponent. m^-8
Click here to see answer by edjones(7569)

Question 330494: please find the equation of the tangent to the curve given by
y= x^3 - 5x + 15
at the point where x= -1
I got the answer to be
y= -2x +17
but im not sure if this is right.
could you show working if im incorrect please.thanks
Click here to see answer by Jk22(389)

Question 330506: Simplify by removing factors of 1. n^2-49/(n+7)^2 The simplified form is?
Click here to see answer by Fombitz(13828)

Question 330508: Multiply. (7x+7)(4x^2+8x+4)
Click here to see answer by Fombitz(13828)

Question 330510: Rewrite the following expression with a positive exponents. (18xy)^-6/7
Click here to see answer by Fombitz(13828)

Question 330515: Multiply and simplify. Assume variables represent nonzero real numbers. y^19∙y^0
Click here to see answer by Fombitz(13828)

Question 330385: (b) Solve for x, the equation 12x3 + 8x2 - x - 1 = 0. (All solutions are rational and between ±1.)
Click here to see answer by galactus(183)

Question 330548: Please help me solve this equation and show the work. Factor by grouping:
6z^3 + 3z^2 +2z + 1
Click here to see answer by Alan3354(31509)

Question 330432: add. (2a^4-3a^3+5a^2+15a-7)+(a^5+9a^3+4a^2-5a+2)+(-5a^4+a^2-5a-5)
Click here to see answer by nyc_function(2733)

Question 330460: 3x+1/3 - x-2/2 = 2+2x-3/3
Click here to see answer by nyc_function(2733)

Question 330529: [(a^4-b^4)/(a^4+b^4)]*[(a^8-b^8)/(a^6+b^6)]
Click here to see answer by Alan3354(31509)

Question 330507: Divide (30b^3+13b^2+38b+46)÷(6b+5)
Click here to see answer by Fombitz(13828)

Question 330513: Rewrite with a rational exponent. √(5&22)
Click here to see answer by Alan3354(31509)

Question 330490: Add: (4x^3-2x^2+x+4)+(9-x^5-x^2+4x) Thank you.
Click here to see answer by Fombitz(13828)

Question 330608: 1) Add, simplify by collecting like radical terms. Assuming that all expression under radical are non-neg. #'s. √5a+5√20a^3
2) Divide then simplify by taking roots. √9xy^3/√3x
3)Simplify by factoring. √12a^2b
4) Use rational exponents to write cube 2 root√6*cube(third)root√5
5) Add, simplify by collecting like terms. 7√24+5√48
6) Find the following a cube (third) root√y^3
7) Write an equivalent expression using radical notation 625^3/4
8)Find the following. Assume that x can represent any real #. Use absolute value notation when necessary. √16x^2
9) Simplify by taking roots of the numerator & denominator. √81/y^2
10) Multiply (2√5-4√3)(4√5+8√3)
11) Multiply (√2)(-2√2+8)
12) Multiply and simplify by factoring. √45a^11b*√27a^12b^10
13) Rewrite with rational exponents (√5mn)^5
14) Use the laws of exponents to simplify. (2^3/10)^2/5
Click here to see answer by solver91311(17072)

Question 329908: x^3 + 5x^2 - 4x - 20 = 0
i know that's the cubic equation, but i seriously can't find a good equation to find the roots. I NEED HELP!
x^4 + 9x^3 + 18x^2 = 0
i know this is a quartic trinomial, but i don't know how to solve this and the paper expects 4 roots.
(3x + 1)(2x + 7) = 0
i think i set these equal to zero, but am i supposed to get a fraction?
Click here to see answer by scott8148(6628)

Question 330704: Not sure how to write this equation. It is calculus fundamental concept review with real numbers. We have tried it a number of ways. Here goes. The answer is . We have tried it anumber of ways and can not get there from here. LOL. My book does not show me how to work through it. Can you? kizerfamily7@yahoo.com

Click here to see answer by ankor@dixie-net.com(15746)

Question 330728: Identify the degree of each term of the polynomial and the degree of the polynomial. -5x^3+4x^2+6x+9
The degree of the first term is?
the Degree of the second term is?
The degree of the third term is?
The degree of the forth term is?
The degree of the polynomial is?
Click here to see answer by stanbon(57953)

Question 330748: Divide and simplify. (11v-22)/35÷(v-2)/21v

Click here to see answer by Fombitz(13828)

Question 330743: Rewrite with a rational exponent. 5√22
Click here to see answer by Alan3354(31509)

Question 330735: Apply the Order of Operations to simplify the following expression:
5x[(4x2 - x + 2) - (7x3 - 14x2)/(7x2)]
I am completely lost. I'm not sure if I distribute the 5x or not.
Click here to see answer by ankor@dixie-net.com(15746)

Question 330746: Factor completely. 49a^2+4-28a
Click here to see answer by neatmath(300)

Question 330779: Polynomials and Rational Expressions
4X^2 - 16 / 2 - x = ?
What is the solution to the above equation?
(here is the web site, http://www.starsamplequestions.org/starRTQ/results.jsp?param=CST10041&count=1# )
Click here to see answer by texttutoring(324)

Question 330789: x^2-x-6/x-3
Click here to see answer by mananth(12270)

Question 330745: Multiply. (a+t)(a^2-at+t^2)
Click here to see answer by trippin on trig(7)

Question 330829: solve. √5x+29 =x+3
Click here to see answer by Fombitz(13828)

Question 330837: Divide and simplify. t^5/t^13
Click here to see answer by Fombitz(13828)

Question 330833: Factor completely. 112r^2+392rg+343g^2
Click here to see answer by mananth(12270)

Question 330842: For the following equation, state the value of the discriminant and then describe the nature of the solutions. 2x^2+7x-10=0
What is the value of the discriminant?
Which one of the statements below is correct?
the equation has two real solutions.
the equation has one real solution.
the equation has two imaginary solutions.
Click here to see answer by Fombitz(13828)

Question 330845: Solve. r^2+5r-36=0
Click here to see answer by Fombitz(13828)

Question 330838: solve.2/w=3/w-1/5
Click here to see answer by Fombitz(13828)

Question 330860: In drag racing, both vehicles begin at a dead stop, then accelerate through 1/4 mi. Let us say, for the sake of discussion, that our two vehicles are not quite matched in power. That is, vehicle A can accelerate from 0 mph to 60 mph in 5 secs., whereas the vehicle B can accelerate from 0 mph to 60 mph in 4 secs. So, the question arises, how would you calculate the position of each vehicle after t secs? For instance, t = 5 or t = 6. Note: remember to convert from miles per hour to miles per second.

Click here to see answer by Alan3354(31509)

Question 330876: Factor:
x^6 + x^4 + x^2 + 1
Click here to see answer by Fombitz(13828)

Question 329708: Simplify the following algebraic expression:
1. 7(x^4)^5 (-4x^2)^2
2. (8x^3/27y^6)^1/3
Click here to see answer by Fombitz(13828)

Question 330852: I have worked this problem a few times and i keep comming up with different answers each time. I use an online calculator to check my work and it said the answer should be z=-3
I have not gotten that answer at all please help!
z-(3z)/(2-z)=(6)/(z-2)
Click here to see answer by Alan3354(31509)

Question 330895: Factor (AC Method):
(a+4)^2 - 2(a+4)+ 1

Click here to see answer by Alan3354(31509)

Question 330907: Factor completely:
y^2(y+1) - 4y(y+1) - 21(y+1)
Click here to see answer by Fombitz(13828)

Question 330906: What is the larger root of 6/x^2-1 - 1/2=1/x+1

I know the answer is 2 but I need all the steps to get the answer
Click here to see answer by Fombitz(13828)

Question 330828: a.) solve 2x^2=10
What are the solutions?
b.) find the x-intercepts of f(x)=2x^2-10
The x-intercepts are?
Click here to see answer by jrfrunner(365)

Question 330832: solve. x^2+18x-4=0
Click here to see answer by Fombitz(13828)

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