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

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


Question 69391: I need to be able to see if the following problem can be reduced because I cannot have 0 in the denominator:
6x/x4(to the 4th power)
I originally thought about multiplying by x4/x4(to the 4th power), but wasn't sure if this would actually work. This is not a textbook question, but one that the instructor made up.

Click here to see answer by stanbon(57290) About Me 

Question 69352: Please help with factoring the following polynomial:
5c(a^3 + b)-(a^3 + b)

Click here to see answer by funmath(2925) About Me 

Question 69330: Simplify the expression
3y^2 + 5yz + 2z^2 / 2y^2 + 3yz + z^2

Click here to see answer by funmath(2925) About Me 

Question 69408: I am studying for the compass exam and this is under the "intermediate algebra: rational expressions" category
(unfortunately I don't have the proper symbols for this problem)
r /= (doesn't equal) plus or minus 2,
r2-5r+6 all of this is over r2-4 =?
It gives 5 answers such as r-3 over r+2 (which is the correct answer, but I would appreciate it if I could see the problem worked out step by step so I can do them by myself in the future. Thank you for your help

Click here to see answer by stanbon(57290) About Me 
Question 69408: I am studying for the compass exam and this is under the "intermediate algebra: rational expressions" category
(unfortunately I don't have the proper symbols for this problem)
r /= (doesn't equal) plus or minus 2,
r2-5r+6 all of this is over r2-4 =?
It gives 5 answers such as r-3 over r+2 (which is the correct answer, but I would appreciate it if I could see the problem worked out step by step so I can do them by myself in the future. Thank you for your help

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

Question 69411: Missed the following on Chapter quiz; please help studying for exam:
Find a polynomial with leading coefficient 1 and degree 3 that has -1, 1, and 3 as roots.
The polynomial f(x) divided x-3 results in a quotient of x^2+3x-5 with a remainder of 2. Find f(3).
Let f(x)=x^3-8x^2+17x-9. Use the factor theorem to find other solutions to f(x)-f(1)=0, besides x=1.
Thanks...

Click here to see answer by stanbon(57290) About Me 

Question 69507: Factor 6x^2 + 25 + 4
Click here to see answer by Nate(3500) About Me 

Question 69509: Factor 6x^2 + 25x + 4. Please disregard first question as it was typed incorrectly.
Click here to see answer by Nate(3500) About Me 

Question 69521: One solution of 2x^2+11x+k=0 is -5. Find the other solution.
Click here to see answer by checkley75(3666) About Me 

Question 69456: Please help me reduce this equation: {{ 5x-[-3x-(-2y+5x)-(10x-3y-4x)] }}}.
and the 3y-4x has a bar over it.

Click here to see answer by hailu(13) About Me 

Question 69454: Please help me solve for x for this equation: y=%28x-z%29%2F%28a%5E2bx%29+.

Click here to see answer by jim_thompson5910(28536) About Me 

Question 69518: x^2-8x+16=
x^2-17x+16=
x^2-8x+15

Click here to see answer by funmath(2925) About Me 

Question 69519: x^2-8x+16=
x^2-17x+16=
x^2-8x+15

Click here to see answer by funmath(2925) About Me 

Question 69457: Please help me solve for x for this equation: +y=%28x%2Aa%29%2F%28x%2Bz%29+.
Click here to see answer by ankor@dixie-net.com(15646) About Me 
Question 69457: Please help me solve for x for this equation: +y=%28x%2Aa%29%2F%28x%2Bz%29+.
Click here to see answer by josmiceli(9668) About Me 

Question 69602: Write in simplest form. (5r^3st^2)/(-10r^6s^3t)
I have come up with (t)/(-2r^-3s^-2
Can someone look this over and let me know if I am on the right track???

Click here to see answer by Edwin McCravy(8896) About Me 

Question 69620: Can you help me find the answer for this equation :(x-3)(5x+1)
Click here to see answer by checkley75(3666) About Me 

Question 69628: how do u find tha answer to these
2x(3x-7)
5a(3a+2)
2g(3h+5)
5x(7-8x)
3g(4b+20)

Click here to see answer by checkley75(3666) About Me 

Question 69626: Factor by grouping. 6x^3 + 21x^2 – 2x – 7
I came up with (2x+7)(3x^2-1)
I hope that someone can tell me if this is correct???? Thank you.

Click here to see answer by checkley75(3666) About Me 
Question 69626: Factor by grouping. 6x^3 + 21x^2 – 2x – 7
I came up with (2x+7)(3x^2-1)
I hope that someone can tell me if this is correct???? Thank you.

Click here to see answer by bucky(2189) About Me 

Question 69625: Factor completely. 25x^2 – 9
I have come up with (5x-3)(5x+3). Is this correct????

Click here to see answer by venugopalramana(3286) About Me 

Question 69678: Subtract. Write your answer in simplest form.
((y-2)/(y+3))-((y)/(2y+6))=????????
This is another one that is giving me a migrane. I need some serious help, please!!

Click here to see answer by ptaylor(2048) About Me 

Question 69676: During rush hour, Ella can drive 40 miles using the side roads in the same time that it takes to travel 15 miles on the freeway. If Ella's rate on the side roads is 10 mi/h faster than her rate on the freeway, find her rate on the side roads.
I need help with this one, please?

Click here to see answer by ptaylor(2048) About Me 

Question 69677: (x/5x+10)+((x-3)/(x+2))=7/5
Solve for x

Click here to see answer by bucky(2189) About Me 

Question 69690: Solve the following problem:
What is the expression raised to the fourth power is 81x^12y^8z^16?
I have tried to figured this problem out and cannot seem to figure out how to solve. I need some help with this one, thanks.

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

Question 69659: Please explain the steps to finding the GCF of the following: (I have provided the answer, but do not understand the process to get the correct answer.)
(x-1)^3+4(x-1)^2+3(x-1)
Answer:x(x-1)(x+2)

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

Question 69689: Find the values of each of the following plynomials of the given values of the variable:
-x^2-5x-6, x = -3 and x = -2
I am not getting this problem and a bit confused on how to solve this,and need some help. Thanks.

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

Question 69702: Perform the indicated calculations. Write the result in Scientific Notiation.
(6*10^12)(3.2*10^8)/(1.6*10^7)(3*10^2)
:
I came up with an answer of a whole bunch of zeros and numbers. I am not sure I am doing this right. I need some help. Thanks

Click here to see answer by terbear1963(43) About Me 
Question 69702: Perform the indicated calculations. Write the result in Scientific Notiation.
(6*10^12)(3.2*10^8)/(1.6*10^7)(3*10^2)
:
I came up with an answer of a whole bunch of zeros and numbers. I am not sure I am doing this right. I need some help. Thanks

Click here to see answer by tutorcecilia(2152) About Me 
Question 69702: Perform the indicated calculations. Write the result in Scientific Notiation.
(6*10^12)(3.2*10^8)/(1.6*10^7)(3*10^2)
:
I came up with an answer of a whole bunch of zeros and numbers. I am not sure I am doing this right. I need some help. Thanks

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

Question 69716: How do i solve the following question
(4x^3 + 3x-8) divided by (x+2)

Click here to see answer by stanbon(57290) About Me 

Question 69652: I do not understand how they got the answer to a problem. Could you please explain how the answer was attained:
Perform each division:
2x^3-10x^2+3/x^2-1
Answer: 2x+10+ 2x-7/x^2-1

Click here to see answer by ankor@dixie-net.com(15646) About Me 

Question 69773: Multiply. 8pq^2(2pq-3p+5q).
I have tried to multiply this and am not getting a resonable answer. Can you help please. Thanks.

Click here to see answer by jim_thompson5910(28536) About Me 

Question 69771: Subtract, using the vertical method.
7x^2 + 6x from 9x^2 - 3
I am just needing some help with subtracting using the vertical method which I am not familiar with and would like some help with this. Thanks.

Click here to see answer by checkley75(3666) About Me 

Question 69769: Subtract. 4x - 2x^2 + 4x^3 from 4x^3 + x - 3x^2.
I am in dire need of help. Thanks.

Click here to see answer by checkley75(3666) About Me 

Question 69770: Add, using the verticl method.
5x^2 + 2x - 4, x^2 - 2x - 3, and 2x^2 - 4x - 3
I am a little confused on how the verticle method is used and would appreciate any help you could offer. Thanks.

Click here to see answer by brandonpark2889(31) About Me 

Question 69607: %28y-2%29%2F%28y%2B3%29-y%2F%282y%2B6%29=?????
I need some help with this one. I came up with y^2+5y-12. Is this correct???

Click here to see answer by Edwin McCravy(8896) About Me 

Question 69879: Let x represent the number and then write an expression for the product.
:
The square of 5 more than a number.
:
I need some help with this problem thanks.

Click here to see answer by ankor@dixie-net.com(15646) About Me 

Question 70020: Find each of the following square of (7p + 6q)^2
Thanks

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

Question 70023: Find each of the following squares. (w - 1/4)^2
I am a little confused on how to solve these types of problems and need some assistance. I would greatly appreciate your help. Thanks

Click here to see answer by stanbon(57290) About Me 

Question 70016: Multiply. (x - 10)(x + 9)
Thanks.

Click here to see answer by bucky(2189) About Me 

Question 70034: I am needing some assistance with this problem: Find each of the following products; a (a + 5)(a - 5)
Any help you can assist with this is greatly appreciated. Thanks

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

Question 69869: Multiply. 7w(2w - 3)(2w + 3)
Please help with this I have tried to work this problem and I am confused now because I cannot figure this out. Thanks.

Click here to see answer by ankor@dixie-net.com(15646) About Me 

Question 68834: Directions: Solve each of the following quadratic equations.
Problem# 24
4x^2 = 13x +12

Directions: Solve the following problem
Problem# 48
Geometry. If the sides of a square are decreased by 2cmm the area is decreased by 36cm^2. What were the dimensions of the original square?

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

Question 70070: how do i solve this problem?
27x3 - 13x

Click here to see answer by stanbon(57290) 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