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

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Question 45240: This one is confusing me because of the exponents. Can someone help me?
Factor. 8m4n – 16mn4
Below are my choices:
A) 8m4n(1 – 2n3) B) 8m4n4(m – 2n) C) 8mn(m3 – 2n3)
D) 8m4n(1 – 16mn4)

Click here to see answer by rapaljer(4667) About Me 

Question 45262: I am having a hard time with this, can someone help me please?
Rewrite the middle term as the sum of two terms and then factor completely. 15x2 – 21x + 6

Click here to see answer by stanbon(57332) About Me 

Question 45276: Fungicides account for 1/10 of the pesticides used in the united states. Insecticides account for 1/4 of all the pesticides used in the united states. The ratio of fungicides to insecticides used in the united states can be written 1/10 / 1/4. Please write this ratio in simplist form.
Click here to see answer by tutmath(14) About Me 

Question 45356: Please factor the trinomial completely. Thanks for the help.
45z%5E6%2B48z%5E4%2B12z%5E2

Click here to see answer by Earlsdon(6287) About Me 

Question 45357: Factor out the variable that is raised to the smaller exponent.
-5x%5E%28-2%29%2Bx%5E2

Click here to see answer by Earlsdon(6287) About Me 

Question 45279: write each expression in simplest from.
4x-28 / 5x-35

Click here to see answer by checkley71(8403) About Me 

Question 45284: add or subract. write answer in simplest form.
5/4cd + 11/4cd

Click here to see answer by checkley71(8403) About Me 

Question 45269: x3+6x2+5x+30=0
Click here to see answer by rapaljer(4667) About Me 

Question 45264: This does not make sense to me...please help.
Factor by grouping. x3 – 3x2 + 4x – 12

Click here to see answer by rapaljer(4667) About Me 

Question 45263: I don't understand this problem. Please help me?

Complete the following statement. 6a2 – 5a + 1 = (3a – 1)( )

Click here to see answer by rapaljer(4667) About Me 

Question 45260: I can not figure this problem out, what am I not doing right?
Rewrite the middle term as the sum of two terms and then factor by grouping. x2 – 2x – 63

Click here to see answer by rapaljer(4667) About Me 

Question 44811: Given that (3x-a)(x-2)(x-7)=3x^3-32x^2+81x-70, determine the value of a.
Thanks!

Click here to see answer by rapaljer(4667) About Me 

Question 45399: WHAT IS THE BASIC RULE TO WRITE THE POLYNOMIALS IN ASCENDING AND DECENDING ORDER. ONLY EXPONENTS OF A PARTICULAR VARIABLE IS TO BE CONSIDERED OR SIGNS(NEGATIVE VALUES) ALSO TO BE TAKEN INTO CONSIDERATION?
Click here to see answer by mathgenius(8) About Me 

Question 45239: I am not sure of the formula for this? Can someone help me?

Factor completely. 6x2 + 7x + 2
Below are the choices to choose from:
A( (3x + 1)(2x + 2) C) (3x – 2)(2x – 1)
B) (3x + 2)(2x + 1) D) (6x + 2)(x + 1)


Click here to see answer by mathgenius(8) About Me 

Question 45453: (-3ab)2 (-2ab)3
=(-3 to 2nd a2 b2)(-2 to 3rd a3 b3)
=9*8 a2+3 b2+3
=-72 a5 b5

wasn't quite sure how to type out line 2
but I'm tyring to figure out how to determine whether or not an answer is + or -

Click here to see answer by tutorcecilia(2152) About Me 

Question 45462: (a-3)(a2 -3a + 4) is the problem
= a3 - 6a2 + 13a - 12 is the solution and I don't have a clue as to how the 13a
plugs including the 12

Click here to see answer by Nate(3500) About Me 

Question 45402: Find the perimeter of a rectangle
length is x/2x-5 and height is 8/2x-5

Click here to see answer by Nate(3500) About Me 

Question 45476: (a -9b)(2a + 7b)
2a2 - 11ab - 63b2
not sure if this has been solved correctly and if I missed a step

Click here to see answer by stanbon(57332) About Me 

Question 45304: I am not understanding the vertical and horizontal asympote of the rational function. Can someone please help me?
Find the vertical asympote of the rational function f(x)= 3x-12/4x-2
Find the horizontal asympote of the rational function f(x)= 8x-12/4x-2
Any help and explanation would be greatly apprecaited.
Thank you

Click here to see answer by jake_6233(74) About Me 

Question 45488: 3y.5y2 +3y.8y-3y.2-8.5y2-8.8y+8.2
=15y3+24y2-6y-40y2-64y+16
=15y3-16y2-68y+16

Click here to see answer by justin_lohok(3) About Me 

Question 45522: find (4n^3)^2 if 2n - 3 = 4n - 7
not quite sure how to even begin solving this one

Click here to see answer by stanbon(57332) About Me 

Question 45516: (a + b)^2 - (a - b)^2
= ab^2 + ab^2
= 2ab + 2ab
= 4ab
would you say this equation is solved correctly?
I'm concerned that I might have skipped a step.

Click here to see answer by stanbon(57332) About Me 

Question 45514: (3a - 5)^2
=(3a)^2 + 5(3a)(-5)+ (-5)^2
=9^2 - 30a + 25
where in this equation does the 30a come from?

Click here to see answer by adamchapman(301) About Me 

Question 45501: add or subract as indicated
5a-12/a^2-8a+15 - 3a-2/a^2-8a+15

Click here to see answer by adamchapman(301) About Me 

Question 45510: write each expression in simplest form
4x-28/5x-35

Click here to see answer by jake_6233(74) About Me 

Question 45513: (3y - 8)(5y^2 +8y - 2)

Click here to see answer by tutorcecilia(2152) About Me 
Question 45513: (3y - 8)(5y^2 +8y - 2)

Click here to see answer by jake_6233(74) About Me 

Question 45509: write the fraction in simplest form
-15x^3y^3/-20xy^4

Click here to see answer by tutorcecilia(2152) About Me 

Question 45537: 2m^6 n^2/5m^9 n^10
= 2/5m^3 n^8
I understand subtracting the exponents but how did the 2 wind up by itself?

Click here to see answer by Nate(3500) About Me 

Question 45580: (-4.8)^x = 1
Click here to see answer by stanbon(57332) About Me 

Question 45592: divide:
(a^2 + 5a + 10) divided by (a + 2)

Click here to see answer by Nate(3500) About Me 

Question 45639: Factor using trial and error method.

3xē - 17x + 10

Please show all work and solution. Thanks

Click here to see answer by checkley71(8403) About Me 

Question 45643: Solve the equation, show all work and answer.
2hē - h – 3 = 0

Thanks

Click here to see answer by checkley71(8403) About Me 

Question 45645: Solve each equation with repeated factor or three solutions. Show all work and solution.

mģ + 2mē -3m = 0



Thanks.

Click here to see answer by Nate(3500) About Me 

Question 45655: Solve each equation with repeated factor or three solutions. Please show all work and all solutions.

mģ + 2mē -3m = 0

Click here to see answer by Nate(3500) About Me 

Question 45676: (5x-1)^2
=(5x-1)(5x-1)
=25x^2

the answer is 25x^2-10x+1 but I don't see the order of operation

Click here to see answer by tutorcecilia(2152) About Me 

Question 45777: Factor the trinomial completely
10z%5E2-7z-12

Click here to see answer by tutorcecilia(2152) About Me 

Question 45776: Factor the trinomial completely.
45z%5E6%2B48z%5E4%2B12z%5E2

Click here to see answer by Fermat(127) About Me 

Question 45880: Factor the polynomial completely.
6y%5E2%2B17y%2B12

Click here to see answer by checkley71(8403) About Me 

Question 45879: Factor the polynomial completely.
147a%5E4-75b%5E2

Click here to see answer by checkley71(8403) About Me 
Question 45879: Factor the polynomial completely.
147a%5E4-75b%5E2

Click here to see answer by Nate(3500) About Me 

Question 45877: Factor the polynomial completely.
375k%5E3m-81m%5E4

Click here to see answer by Nate(3500) About Me 

Question 45775: Factor the trinominal completely
10z%5E2-7z-12

Click here to see answer by checkley71(8403) About Me 

Question 45878: Factor the polynomial completely.
x%5E2-y%5E2%2B18y-81

Click here to see answer by Earlsdon(6287) About Me 

Question 45917: Can someone help me with this? When I do my problem it seems more confusing from when I started.
Rational expressions: Write each expression in simplest form.
4r^2 - 25s^2
______________ (This is suppose to be a fraction)
2r^2 + 3rs - 20s^2

Click here to see answer by Earlsdon(6287) 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