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

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

Question 448131: Simplify.
(1/3)¯²
Click here to see answer by jim_thompson5910(28717)

Question 448144: Simplify.
(-1/3)²
Click here to see answer by jim_thompson5910(28717)

Question 448257: Explain how the process of combining radicals through addition and subtraction is similar to combining polynomials. What makes two radicals like radicals? Give an example.

Click here to see answer by richard1234(5390)

Question 448327: 2x^2 - 25 = 0
Can you tell me how MANY solutions exist for this equation? (Use the discriminant)

Click here to see answer by jim_thompson5910(28717)

Question 448366: I'm trying to write a polynomial equation of least degree for the given set of roots. 1+- 2i,3. The answer I got was 5x-15. Is that right?
Click here to see answer by jim_thompson5910(28717)

Question 448405: How would you convert the equation f(x)=(x-3)/(x-2) so that you would be able to find the asymptotes of the graph? I understand that the answer is 1-(1/(x-2)), but I need the steps if possible.
Click here to see answer by edjones(7569)

Question 448493: 6x^3-3x^2-30x
Click here to see answer by rwm(914)

Question 448505: Dividing polynomials and do a check
(18t^3-24t^2+6t)/(3t)
Click here to see answer by josmiceli(9819)

Question 448546: Use the Rational Zero Test to list all possible rational zeros of f. Verify that the zeros of f shown on the graph are contained in the list.
f(x)=x^3-4x^2-4x+16

Click here to see answer by ewatrrr(10682)

Question 448578: Factor:
1. 3r^7 - 192r^4=
Factor by grouping:
2. 3x^3- 27x^2 - 4x + 36
Factor:
3. a^3 – 49a^2 – 9a + 441
Multiply:
4. (x^4 +x^3)(x^4+ x^3- x^2)
Add:
5. (9 + 5x +6x^2 + 8x^3) + (4 – 5x +6x^2 – 8x^3)

Click here to see answer by stanbon(57984)

Question 448632: quadratic formula: solve the equation
2x^2+12x-6=0

x^2-6x+7=0
3x^2+11x+10=0
please solve them i really need helppp soonnnn

Click here to see answer by jim_thompson5910(28717)

Question 448664: how do you factor (2x+y)(x+3y)
Click here to see answer by emargo19(101)

Question 448682: for what values of m is the expression m2-2m+1/2m2+m-3 undefined?

Click here to see answer by chriswen(106)

Question 448771: what is 8x over 40 simplified

Click here to see answer by Alan3354(31538)

Question 448819: Which answer choice shows the expression below, factored completely?

x2 − 2x − 120
The large 2 in the beginning stands for squared
Click here to see answer by jorel1380(2518)

Question 448918: How do you go about solving for the variable in this equation?
x^5+3x^4=x+3
Click here to see answer by poliphob3.14(115)

Question 448930: Combine like terms in descending order for 4a^2-6+a^2
Click here to see answer by rwm(914)

Question 448957: Factorize 5x^2-7x+1
Click here to see answer by Alan3354(31538)

Question 448963: I really don't get this - What is the simplified form of the expression 3x^2-6x-9/x^2-3x then -2
Please show the work, so I can do other similar problems
Thank you
Click here to see answer by stanbon(57984)

Question 448964: Factor out the opposite of the GCF in the expression below.
5dx + 5dy

Click here to see answer by stanbon(57984)

Question 449026: I am stuck on this:
1/(3v-6) -4= -2/(v-2)

Click here to see answer by MathLover1(6815)

Question 448966: Divide and check.
2x² + 5x – 45 / x + 9
Click here to see answer by TheDoctor(14)

Question 449130: Can you please factorise the following:
x^4 + 6x^3 + 8x^2 -6x + -9
x-1 is a factor.
i did, using long division divide polynomial by x-1 and i got x^3+7x^2+15x+9
so my factors are (x-1)(x^3+7x^2+15x+9)
now how can i factorise that further, do i i have to use long division or is there a quicker way?
thanks
Click here to see answer by stanbon(57984)

Question 449126: find the least common denominator
3/4,2/5

2/9,3/18

1/16,9/20

14/54,31/81

please solve these four question
soon
i really need help in them
Click here to see answer by stanbon(57984)

Question 449280: factor each expression
3m(m+5)+4(m+5)
Click here to see answer by rfer(12731)

Question 449321: Find the volume of a cube if its surface area is 6x^2 + 36x + 54 square meters
Click here to see answer by Gogonati(817)

Question 449347: This question is really killing me (-7-5x^4+5)-(-7x^4-5-9x)
Click here to see answer by jim_thompson5910(28717)

Question 449319: Factor completely.
y^2-0.2y-0.08
Click here to see answer by rfer(12731)

Question 449432: How do I simplify the rational expression:
3y - 12
_________ (divided by)
y^2 -9y +20
Click here to see answer by jorel1380(2518)

Question 449470: 3x+2y=6
Click here to see answer by aagam94(6)

Question 449547: Please help me solve: 2/5x^2-5x - 5/5x-5
r^2-25/(r+5)^2
x-6/x+6 = 5/7
d+1/d+4 divide by 3d+3/d-7
9/z-5 +21/(z-5)^2
Thank you, Gina

Click here to see answer by stanbon(57984)

Question 449581: Factor completely. 7t^3+15t^2+2t
Click here to see answer by stanbon(57984)

Question 449634: simplify by removing factors of 1 z^2-9z+20/z^2+z-30
Click here to see answer by Gogonati(817)

Question 449674: Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x
I'm confused how they got the answer in my book
Click here to see answer by ankor@dixie-net.com(15747)

Question 449943: a person is walking with uniform speed. he increases his speed by 20% when he completes half the journey. the second half of the journey takes 30 minutes less than the first half. What is the time taken to cover both halves individually?
Click here to see answer by josmiceli(9819)

Question 449976: Grouping
x^2+3x-2x-6
Click here to see answer by rwm(914)

Question 450013: find the value of p and q when the polynomial (x*x*x)+ p(x*x)+ qx + 6 gives remainder 3 when divided by x-3 and leaves the remainder 0 when divided by x-2.
Click here to see answer by stanbon(57984)

Question 449967: Factor the polynomial:
1. x^2 - 49.
2. 2a^4 - 21a^3 + 49a^2
3. y^3 + 2y^2 - 81y - 162
Click here to see answer by htmentor(809)

Question 450040: i need help with this problem.
3/1=x-2/x+2
find the x value
Click here to see answer by sudhanshu_kmr(1152)

Question 450320: Please factor: mn+2am+3m+6a
Click here to see answer by stanbon(57984)

Question 450328: 3(n-1)+3n = 4(8-n) Solve please and thank you!
Click here to see answer by stanbon(57984)

Question 450379: which expression or value is a term in 12w to the 3rd power plus 8
Click here to see answer by rfer(12731)

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