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

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

Question 242621: How do I find all rational roots of equation;
x^4+16x^3+96x^2+256x+256
Click here to see answer by jsmallt9(3758)

Question 242535: y^2+8y
________
2y^2+17y+8
simplify
I have gotten, y(y+8)
_______

Click here to see answer by nyc_function(2741)

Question 242575: can you please help me solve this problem.
(4x^6-3x^4-4x^2-2x+7)-(x^3+3x^2+6x)
Click here to see answer by Theo(13342)

Question 242699: Simplify this rational expression please!!!!
/p-m

What i did was i factored out the numerator to be (m-p)(m+p) and then i canceled out the denominator with the numerator to equal m+p as my final answer and it was incorrect.
Click here to see answer by jsmallt9(3758)

Question 242740: Directions are to Solve and I don't even know where to start. I thought to set the equation equal to zero, but very confused, can someone please help me??
w^2 - 7w - 18 = 0
Click here to see answer by scott8148(6628)

Question 242745: Please help, can't find a good place to explain the process involved with solving.
Solve
(x + 2)(x-2)(x+1)=0
a)the solution set is
b)solution is all real numbers
c)there is no solution
Click here to see answer by solver91311(24713)

Question 242753: Write an equation of variation for the situation.
In a stream, the amount S of salt carried varies directly as the sixth power of the speed V of the stream.
Click here to see answer by solver91311(24713)

Question 242752: The time t required to drive a fixed distance varies inversely as the speed r. It takes 5 hr at 55mph to drive a fixed distance. How long would it take at 40 mph?
Click here to see answer by stanbon(75887)

Question 242744: Please help, can't find a good place to explain the process involved with solving.
Solve
(x + 2)(x-2)(x+1)=0
a)the solution set is
b)solution is all real numbers
c)there is no solution

Click here to see answer by Alan3354(69443)

Question 242743: Desperate for help, I understand how to start but I am getting very confused the answer I arrived at was 4y- 39/(y+6)(y-6), but I don't think it's right, please help!!!
Perform the indicated operations and simplify:
y-3/y-6-y+1/y+6+y-42/y^2-36
Click here to see answer by jim_thompson5910(35256)

Question 242758: Directions are to Solve and I don't even know where to start. I thought to set the equation equal to zero, but very confused, can someone please help me??
w^2 - 7w - 18 = 0
Click here to see answer by jim_thompson5910(35256)

Question 242751: Rachel allows herself 1 hr to reach a sales appointment 50 miles away. After she has driven 30 miles, she realizes that she must increase her speed by 15 mph in order to get there on time. What was her speed for the first 30 miles?
Click here to see answer by jojo14344(1513)

Question 242760: I sent this problem earlier but after receiving a response quickly realized I entered the wrong problem, can u please help me with this one? I have no clue where to start. Thanks in advance!!
Solve:
(x+2)(x-2)(x+1)>0
a)the solution set is
b)solution is all real numbers
c)there is no solution
Click here to see answer by jim_thompson5910(35256)

Question 242898: Please show me how to divide by long division this: (3x^3+4x-1) / (x^2+1)
Click here to see answer by nyc_function(2741)

Question 242898: Please show me how to divide by long division this: (3x^3+4x-1) / (x^2+1)
Click here to see answer by unlockmath(1688)

Question 242898: Please show me how to divide by long division this: (3x^3+4x-1) / (x^2+1)
Click here to see answer by Edwin McCravy(20054)

Question 242843: 1)write a polynomial in standard forum.. with the degree 3, zeros @ -1,3,5 and the condition F(0)=5?
i know my zeros= (x+1)(x-3)(x-5)
how do solve and write in standard form
2) find the 6 zeros (real and imaginary) of : F(x)=X^6-64
Click here to see answer by nyc_function(2741)

Question 242593: A rectangular storage bin is to be made from a rectangular piece of sheet metal
12 cm by 10 cm, by cutting out equal corners of side x and bending up the
sides. Find x if the storage bin is to hold 90cm�(volume).
- I thought it might be x(120 - 4x�)= 90cm�
which I guess would be 4x� - 120x + 90 = 0 but I'm not sure where to go from here, or even if I'm heading in the right direction.
thanks heaps
manda
Click here to see answer by ankor@dixie-net.com(22740)

Question 242802: (2w+3x)(w-x)-4(w-2x)^2+5(w^2-x^2)
Click here to see answer by nyc_function(2741)

Question 242801: 2(x-1)(x^2-3x+2)-(2x^2-3x-4)(2x+3)
Click here to see answer by nyc_function(2741)

Question 242735: Perform the indicated operations and simplify.
x^2/3x^2-5x52 - 2x/3x+1 * 1/x-2

Click here to see answer by nyc_function(2741)

Question 242734: Add. Simplify if possible.
-2/y^2-9 + 4y/(y-3)^2 + 6/3-y

Click here to see answer by nyc_function(2741)

Question 242600: (x^3+8)/(x+2)
Click here to see answer by nyc_function(2741)

Question 242579: Solve the following rational expression:

I have been trying and have finished this question. I would just like to see if I have done it correstly. Thank you.
Click here to see answer by nyc_function(2741)

Question 242941: Find the reciprocal
4/x^2+y^2
Click here to see answer by jim_thompson5910(35256)

Question 242939: Multiply and, if possible, simplify.
k^2+9k+14/k^2+14k+49∙k^2+7k/(k^2+5k+6
Click here to see answer by jim_thompson5910(35256)

Question 242915: How do you find the dimensions and area expression for 4x+12?
Click here to see answer by rapaljer(4671)

Question 242935: Multiply. Do not simplify.
(x+9)/(x+7)∙(x-9)/(x-9)
Click here to see answer by jim_thompson5910(35256)

Question 242950: how do I solve ym(xm � xmy^2)
Click here to see answer by jim_thompson5910(35256)

Question 242985: I have a few problems that I need help with or mainly to see if I have them correct.
Rewrite the fraction with a positive exponent. (22xy)^-8/9
Solve: c^2 + 3c - 18=0
Solve for x: 4x(x-2)-5x(x-1)=2
Factor Completly 4x^7-12x^6 + 16x^5
Simplify 5times the square root of -1/3125.
Thanks for all help given!!!
Click here to see answer by stanbon(75887)

Question 243015: a^10b^12
________
a^2b^0
Simplify. Assume that no denominator is 0 ans that 0^0 is not considered.
Click here to see answer by user_dude2008(1862)

Question 243017: (t^5x^3)-4
Simplify. Do not use negative exponents in answer.
Click here to see answer by user_dude2008(1862)

Question 243030: What is 8/5x+4 minus 1/2x-3?
Click here to see answer by edjones(8007)

Question 243031: What is 8/5x+4 minus 1/2x-3?
Click here to see answer by nyc_function(2741)

Question 243028: What is 8/x^2-4 minus 3/x-2?
Click here to see answer by nyc_function(2741)

Question 242436: Given the values of x and y, find an equation of variation in which y varies directly as x y = 8, when x = 5
Click here to see answer by ankor@dixie-net.com(22740)

Question 243082: simplify
6+1/3 (6+ the fraction 1/3 over 4+ the fraction 2/9)
------ = ?
4+2/9
Click here to see answer by stanbon(75887)

Question 243086: Need some help with this problem:
6/z = 9/z - 1/11

thanks
Click here to see answer by stanbon(75887)

Question 243086: Need some help with this problem:
6/z = 9/z - 1/11

thanks
Click here to see answer by freekie11(2)

Question 243095: I have a few more problems that are giving me trouble, I understand how to start but have no clue how to follow through with the problem. Please help me understand...thanks in advance!!
Divide and Simplify: 5x-5/121 divided by x-1/55x
Simplify by removing factors of 1: m^2 - 36/ (m+6)^2
Mulitply and Simplify: 9x^2/4x^2-32x+64 times 4x-16/3x
Thanks again for the help.
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, 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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, 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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