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

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

Question 315966: Divide and simplify
(-49+7x/3)/(121x-847/9)
Click here to see answer by checkley77(12569)

Question 315993: Explain how (p+q)^2 differs from p^2+q^2 by expanding (p+q)^2
Click here to see answer by jim_thompson5910(28595)

Question 315972: solve
r/14-r/35=1/14
Click here to see answer by jim_thompson5910(28595)

Question 315969: add. simplify if possible
(7/wz^2)+(1/w^2z)
Click here to see answer by checkley77(12569)

Question 316171: form a polynomial with real coefficients. -3-2i; 2 multiplicity 2
Click here to see answer by stanbon(57352)

Question 316184: find the values that make the rational expression undefined.
m+4/m-6
Click here to see answer by Fombitz(13828)

Question 316293: (6z^2+36z+54)/(z^2-3z-18)
Click here to see answer by jim_thompson5910(28595)

Question 316173: is this right ??? find the complex zerosof the polynomial,
promblem : x^3-512
i got :
(x-8)(x+4+4radical 3i)(x+4-4 radical 3 i)
Click here to see answer by Fombitz(13828)

Question 316356: I had try this but I don't know if it is right
hopefully I'm writing it right so you can understand it
3y+2 over 7Y^3 divide it by y-1 over y^2 I know that when you divide fraction you must flip over one side in order to multiply so I did this 3y+2 over 7y^3 * y^2 over y-1 this is my answer 3y^3+2y^2 over 7y^4-7y please help
Click here to see answer by jim_thompson5910(28595)

Question 316333: The polynomial 0.041h-0.018a-2.69 can be used to estimate the lung capacity, in liters, of a female with height h, in centimeters, and age a, in years. Find the lung capacity of a 40-year old woman who is 180 centimeters tall. Her lung capacity is approximately how many liters? Please help me with this. Thank you.
Click here to see answer by checkley77(12569)

Question 316326: The mass of Saturn is about 5.688*10^23 metric tons. The mass of the sun is about 1.998*10^27 metric tons. About how many times the mass of Saturn is the mass of the sun? Give your answer in scientific notation. The mass of the sun is about how many times the mass of Saturn? Please advise. Round to the nearest thousandth if needed. Thnak you.
Click here to see answer by checkley77(12569)

Question 316381: f(x)=x^4+10x^3+27x^2+10x+26; if i is a zero, find the other three.

Click here to see answer by Edwin McCravy(8909)

Question 316380: f(x)=x^4 +10x^3 +27x^2 +10x+26; if i is one zero, find the other three zeros
Click here to see answer by Fombitz(13828)

Question 316407: Factor:
xu+zx-5u-5z
Click here to see answer by nerdybill(6959)

Question 316154: How do i factor the following question completely:
Click here to see answer by ankor@dixie-net.com(15652)

Question 316435: (x+1)(x^2-x+1)?
Click here to see answer by Fombitz(13828)

Question 316352: hey, what the Ax+By+C=0, WHAT DOES IT MEAN AND HOW would you find it
Click here to see answer by scott8148(6628)

Question 316485: factor completely y6 - 1
Click here to see answer by vleith(2825)

Question 316502: Find all numbers for which the raional expression is undefined.
t^3-9t/t^2-16
I really appreicate the help. Thank you
Click here to see answer by Fombitz(13828)

Question 316527: what is the vertex and x-intercepts of y = x^2 + 4x + 7
Click here to see answer by Fombitz(13828)

Question 316465: For what value of a is the expression [(2a-2)/((a-2)(a+3))] not defined
Click here to see answer by Fombitz(13828)

Question 316563: I am having a really hard time understanding polynomials. I just don't get what it means by "finite sum of terms where the exponents on the variables are non-negative integers." Can you explain this in english please. :)
If I am understanding it right I would say that a polynomial is any number which has an exponent that is not negetive.
Is this correct?
I am trying to explain rational expressions. The numerator and denominator have to be polynomials. Is this correct?
Click here to see answer by Fombitz(13828)

Question 316670: (4x-1)^2-6(4x-1)+25=0
Click here to see answer by Fombitz(13828)

Question 316671: Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches, then what size square should be cut form each conrner?
Click here to see answer by solver91311(16885)

Question 316673: One principle used by the ancient Greeks to get shapes that are pleasing to the eye in art and architecture was the Golden Rectangle. If a square is removed from one end of a Golden Rectangle, the sides of the remaining rectangle are proportional to the original rectangle. So the length and width of the original rectangle satisfy L/W=W/L-W. An artist wants her paining to be in the shape of a golden rectangle. If the length of the painting is 36 inches, then what should be the width?
Click here to see answer by solver91311(16885)

Question 316669: The period T(time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2=pi^2L. If a child is on a swing with a 10-foot chain, then how long does it take to complete one cycle of the swing?
Click here to see answer by checkley77(12569)

Question 316690: factor by regrouping
10x^3-18x^2+5x-9
Click here to see answer by user_dude2008(1861)

Question 316714: how do i factor 4x^2+4x+1
Click here to see answer by jim_thompson5910(28595)

Question 316714: how do i factor 4x^2+4x+1
Click here to see answer by solver91311(16885)

Question 316561: how do you factor polynomials?
Click here to see answer by Alan3354(30993)

Question 316715: How do I simplify the rational expression? (book says)you will need to use factoring by grouping.
ax-3x+2ay-6y
____________
2ax-6x+ay-3y
Click here to see answer by mananth(12270)

Question 316739: factor polynomials
8x^3+125y^3
Click here to see answer by jim_thompson5910(28595)

Question 316716: heii mmmm (x+3)/(x-5) = (56-3x)/x^2-13x+40
Click here to see answer by Fombitz(13828)

Question 316787: -7n^7+7n^4
Click here to see answer by Fombitz(13828)

Question 316819: factor the Trinomial
w^2-13w+40=
Click here to see answer by Fombitz(13828)

Question 316827: factor
5w^2-14w-3
Click here to see answer by Fombitz(13828)

Question 316825: factor.
t^2-2t-24
Click here to see answer by checkley77(12569)

Question 316805: h= -16t2 +80t + 50
Use this position polynomial to calculate the following:
1.The height of the object after 2 seconds
2.The height of the object after 5 seconds
3.The maximum height of the object
4.How long the the object will take to reach the ground?
Click here to see answer by nerdybill(6959)

Question 316780: I am having trouble solving this problem. If you could help walk me through it, that would be great. Thank you!
An error in recording bank charges caused the computer
to mistakenly take $17 each month in charges
from Alison’s checking account for 9 months and $19
a month for the next 4 months. The error was corrected
after 13 months. How much did the bank owe
Alison? Write a numerical expression, involving some
negative integers, that shows how you could solve the
problem.
Click here to see answer by Theo(3464)

Question 316921: what is the multiple zero and multipicity of f(x)=x^3-14x^2+49x
Click here to see answer by Fombitz(13828)

Question 316921: what is the multiple zero and multipicity of f(x)=x^3-14x^2+49x
Click here to see answer by CharlesG2(828)

Question 316817: factor the trinomial
t^2+9t+18=
Click here to see answer by Fombitz(13828)

Question 316823: factor the trinomial
a^2-6az-27z^2=
Click here to see answer by Fombitz(13828)

Question 316927: (w+1)^4=48
Click here to see answer by tinbar(128)

Question 316927: (w+1)^4=48
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