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

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Question 181832: x^2-x-12
________
x^2-16
Please show steps and help solve. Thank you
Click here to see answer by edjones(7569)

Question 181838: 4x^4-10x^3+8x^2
_______________
2x
Thank you, I am really confused.
Click here to see answer by nerdybill(6959)

Question 181838: 4x^4-10x^3+8x^2
_______________
2x
Thank you, I am really confused.
Click here to see answer by jim_thompson5910(28595)

Question 181848: 3x^2+18x-48
___________
2x+16
Lowest terms Thank you
Click here to see answer by jim_thompson5910(28595)

Question 181855: x+6 + 5
______ ___
4 4
Hope you can understand this problem, need help! Thanks
Click here to see answer by solver91311(16885)

Question 181856: factor:
p^2-1-4q^2-4q
I tried grouping, including difference of squares, but couldn't factor completely.
Click here to see answer by solver91311(16885)

Question 181865: PROBLEM OF THE POLYNOMIALS,RATIONAL EXPRESSION AND HOW TO SOLVE
Click here to see answer by solver91311(16885)

Question 181867: Factor completely and show steps:
3x^3y-27x^2y+54xy
Click here to see answer by ankor@dixie-net.com(15652)

Question 181871: Factor completely and show steps:
6x^2-13x-5

Click here to see answer by jim_thompson5910(28595)

Question 181869: Factor completely and show steps:
x^2-5x-14
Click here to see answer by jim_thompson5910(28595)

Question 181870: Factor completely and show steps:
4x^2-36y^2
Click here to see answer by jim_thompson5910(28595)

Question 181878: 5 - x-1
____ ____ = 4 over x-x Is this correct? Thanks
x x
Click here to see answer by jim_thompson5910(28595)

Question 181878: 5 - x-1
____ ____ = 4 over x-x Is this correct? Thanks
x x
Click here to see answer by stanbon(57352)

Question 181891: x^2+10x+21=0 Please help factor this, thank you
Click here to see answer by nerdybill(6959)

Question 181890: x^2+21=10x
x^2-10x+21=0
(x-7)(x-3)=0
x-7 and x=3
My teacher said this is wrong and I need to factor it. Please help. Thanks!
Click here to see answer by nerdybill(6959)

Question 181889: 4x^2+11x=2x^2-15
2x62+11x+15=0
(2x+5)(x+3)=0
2x=5
x=5/2
x=3
My teacher says I have sign errors, can you please help? Thanks
Click here to see answer by nerdybill(6959)

Question 181888: 2x^4-32y^4 Here's what I have so far
=2{x^4-16y^4)
2(x^2=4y^2) (x^2-4y^2)
2(x^2=4y^2) x+2y(x-2y)
I'm supposed to factor it further. Please help. Thank You!
Click here to see answer by nerdybill(6959)

Question 181892: x^2 - 9
______ ____
x-3 x-3
My answer was x-9 9 - 6
___
x Thank You!
Click here to see answer by vleith(2825)

Question 181934: These need to be factored completely
30z^8 + 44z^5 +16z^2 Could it be 2z^2(3z^ + 2)(5z^3 +4)
24x² + 14xy +2y²
(m+n)(x+3) + (m+n)(5+5) Could it be (m+n+3)(x+y+5)
Solve using the principal of zero products
(x+ 1/7)(x-4/5) = 0
Find the x-intercepts for the graph of the equation
Y = x² + 4x -45 Could it be (-9,0,(5,0)
Factor by grouping
-36x² -30x + 36 Could it be -6(3x-2)(2x+3)

Click here to see answer by jim_thompson5910(28595)

Question 181951: . Racquetball. The volume of rubber (in cubic centimeters)
in a hollow rubber ball used in racquetball is given by

where the inside radius is r centimeters and the outside
radius is R centimeters.
a) Rewrite the formula by factoring the right-hand side
completely.
b) The accompanying graph shows the relationship
between r and V when R =3. Use the graph to
estimate the value of r for which V = 100 cm3.

Click here to see answer by nerdybill(6959)

Question 181953: . Racquetball. The volume of rubber (in cubic centimeters)
in a hollow rubber ball used in racquetball is given by
V=4/3 R3^3-4/3 r^3

where the inside radius is r centimeters and the outside
radius is R centimeters.
a) Rewrite the formula by factoring the right-hand side
completely.
b) The accompanying graph shows the relationship
between r and V when R =3. Use the graph to
estimate the value of r for which V = 100 cm3.

Click here to see answer by Alan3354(30993)

Question 181956: Factor each polynomial a^2-2a-35

Click here to see answer by jim_thompson5910(28595)

Question 181957: 46. Factor completely. -3t^3+ 3t^2-6t

60. Factor polynomial completely. 10a^2+ab-2b^2
80. Factor completely. 4m^2+20m+25
90. Factor each polynomial completely, given that the binomial Following it is a factor of the polynomial. x^3-4x^2-3x-10, x-5
102. Solve each equation. t2+1=13/6t

Click here to see answer by jim_thompson5910(28595)

Question 181917: martha has $6000 to invest. she puts x dollars of this money into a savings account that earns 3% per year, and with the rest, she buys a certificate of deposit that earns 6% per year. suppose at the end of one year, martha has a total of $6315. how much money did martha invest in each account?
Click here to see answer by mangopeeler07(462)

Question 181983: subtract polynomials and simplify (-3r^2 +2r +4) - (7r^2 +4)=

Click here to see answer by jim_thompson5910(28595)

Question 181992: The Great Galaxy in Andromeda (also known as the Andromeda Galaxy or M31) is about 2.5 million light years from Earth. When we look at this galaxy today, we see light that has been traveling through space for 2.5 million years; i.e. when we look at the Andromeda Galaxy, we are seeing it as it was about 2.5 million years ago! Think about this, we are looking back in time.

1 light year is the distance that light travels in 1 year. Speed of light is 300,000 kilometers/second, find the distance that light travels from the Andromeda Galaxy to Earth in kilometers and express it in scientific notation.

Click here to see answer by Earlsdon(6287)

Question 182010: How do you express and answer this:
Solve for T
T = xh^2 x = 2, h = 5
Click here to see answer by checkley77(12569)

Question 182014: Consider the problem:
x-8 divided by x-9
____ ____
x+5 x+4
Explain wny -5, 9,-4 are not an allowable replacement for the variable x.
Thankyou
Click here to see answer by ilana(307)

Question 182024: Factor each difference of two squares; completely factor:
x^4-16
Thanks for the help
Click here to see answer by jim_thompson5910(28595)

Question 182028: Factor using the formula for the sum or difference of two cubes:
27y^4+8y
Thanks for the help
Click here to see answer by jim_thompson5910(28595)

Question 182029: Factor completely:
25x^2-4/49
Thanks for the help
Click here to see answer by jim_thompson5910(28595)

Question 182026: Factor using the formula for the sum or difference of two cubes:
54-16y^3
Thanks for the help
Click here to see answer by jim_thompson5910(28595)

Question 182041: 4w^2+19w-5
Click here to see answer by jim_thompson5910(28595)

Question 182042: Divide (x^4 - 12x^2 + 5x + 7) by (x+3).
The 12x^2 throws me off.
Click here to see answer by jim_thompson5910(28595)

Question 182046: Can you please explain how to solve for special polynomial products to the third degree. (x+y) to the third power. I know the answer is x to the third+3x squared y + 3xy squared+y squared. I need help understanding how to get this answer.
Thank you
Click here to see answer by jim_thompson5910(28595)

Question 182049: A student was given the following problem:
4x^2-9
_______ divided by 6x-9
4x^2+12x+9
He says his answer is 3(2x-3) Is he correct?
If not explain what would you suggest he do to solve
the problem? Thank You!
Click here to see answer by Mathtut(3670)

Question 182012: Factor each polynomial completely, given that the binomial Following it is a factor of the polynomial. x^3-4x^2-3x-10, x-5

Solve each equation. t2+1=13/6t

Click here to see answer by Earlsdon(6287)

Question 182110: Multiply
(-7h-3)(2h-2)

Click here to see answer by eperette(173)

Question 182013: A student was given the following problem:
4x^2-9
______ divided by 6x-9
4x^2+12x+9
He states his answer is 3(2x-3) Is he correct? If not explain what you would suggest to solve the problem. Thank you
Click here to see answer by eperette(173)

Question 182121: Can you help me solve this? Factor completely. 12x^2 - 10x -8
I keep getting confused because I'm supposed to find terms that have a product of negative 8 and a sum of negative 10, but all of the answers doesn't factor back out for me.
Click here to see answer by jim_thompson5910(28595)

Question 182149: 1. can polynomials have coefficients which are not real numbers?
2. can a linear polynomial ever have a zero or root which is not real?
3.what's the method to find zeroes of a cubic polynomial?
Click here to see answer by stanbon(57352)

Question 182176: How do u divide monnomials
Click here to see answer by solver91311(16885)

Question 182125: Solve the equation. t2+1=13/6t

Click here to see answer by checkley77(12569)

Question 182225: I need help factoring the difference of these cubes.
54x^3-16y^3
Click here to see answer by Alan3354(30993)

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