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

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Question 152484: How do you DIVIDE this rational expression:x^2+13x+12/x+2(divided by)x+1.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 152458: factor:
-3x^4+27x

Click here to see answer by jim_thompson5910(35256) About Me 

Question 152454: factor by grouping:
8x^2+18x-35

Click here to see answer by Edwin McCravy(20054) About Me 

Question 152516: Can somebody please help me im stuck
. Solve the following problems involving applications of polynomials.
a. A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo?
b. A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500 ft diagonally.
c. Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers.


Click here to see answer by mangopeeler07(462) About Me 

Question 152518: g(2+h)=x to the third
the instructor gave us x=(2+h)
and the answer 8+12h+6h suared+h to the third
i haven't been able to get that as my answer.
here's what I have done:
g(2+h)=x to the third
g=(2+h)to the third
g=(2+h)(2+h)(2+h)
g=4+2h+2h+hsquared(2+h)
g=8+4h+4h+2h+2h+2hsquared+h to the third
g=8+12h+2hsquared+h to the third

Click here to see answer by Earlsdon(6294) About Me 

Question 152517: g(2+h)=x to the third
the instructor gave us x=(2+h)
and the answer 8+12h+6h suared+h to the third
i haven't been able to get that as my answer.
here's what I have done:
g(2+h)=x to the third
g=(2+h)to the third
g=(2+h)(2+h)(2+h)
g=4+2h+2h+hsquared(2+h)
g=8+4h+4h+2h+2h+2hsquared+h to the third
g=8+12h+2hsquared+h to the third

Click here to see answer by Fombitz(32388) About Me 

Question 152457: factor:
-3x^4y^4+12

Click here to see answer by checkley77(12844) About Me 

Question 152478: How do you DIVIDE this rational expression: 6-3x/5(division sign)4x-8/25? Whats the answer?
Click here to see answer by Fombitz(32388) About Me 

Question 152455: factor by grouping:
8x^2-34x+21

Click here to see answer by checkley77(12844) About Me 
Question 152455: factor by grouping:
8x^2-34x+21

Click here to see answer by jim_thompson5910(35256) About Me 

Question 152553: A man who weighs 175 pounds on earth weigh 28 pounds on the moon. How much would his 30 pound dog weigh on the moon?
Click here to see answer by jim_thompson5910(35256) About Me 
Question 152553: A man who weighs 175 pounds on earth weigh 28 pounds on the moon. How much would his 30 pound dog weigh on the moon?
Click here to see answer by Fombitz(32388) About Me 

Question 152559: Give 3 sets of points that satisfy the equations:
2x+2y=4 and y=x^2-4

Click here to see answer by jim_thompson5910(35256) About Me 

Question 152556: An express train and a a local train start out from the same point and travel in opposite directions. The express train travels twice as fast as the local train. If they are 480 miles apart, after 4 hours, what is the average speed of each train?
Click here to see answer by mducky2(62) About Me 

Question 152629: simplify:
(4x^3+x^2-3) - (-9x^3+5x^2-6)

Click here to see answer by Fombitz(32388) About Me 

Question 152631: simplify:
-7p^8q^8+4p^8q-5pq^8-(7p^8q^8-5p^8q+8pq^8)

Click here to see answer by jim_thompson5910(35256) About Me 

Question 152628: add:
(3x^2+x-5) + (-4x^2-4x+1)

Click here to see answer by jim_thompson5910(35256) About Me 

Question 152699: Please help me solve this problem
A photo is 3 inches longer that it is wide. A 2- inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo?
Thank you

Click here to see answer by 0193(5) About Me 

Question 152700: Please help me with this word problem;
Three consective odd integers are such that the square of the thrid is 264 more than the square of the second. Find the three integers.
Thank you.

Click here to see answer by jojo14344(1513) About Me 

Question 152678: On five exams, Alex has scored 84, 86, 71, 91, and 98 points out of 100. He wants to earn at least a B in the course, which corresponds to an overall average grade of 82 or better. Out of 100 points, what is the minimum number of points Alex must earn on the final exam to achieve this goal?
PLEASE HELP..I'M SO CONFUSING!!!!

Click here to see answer by Fombitz(32388) About Me 
Question 152678: On five exams, Alex has scored 84, 86, 71, 91, and 98 points out of 100. He wants to earn at least a B in the course, which corresponds to an overall average grade of 82 or better. Out of 100 points, what is the minimum number of points Alex must earn on the final exam to achieve this goal?
PLEASE HELP..I'M SO CONFUSING!!!!

Click here to see answer by neodudesam(4) About Me 

Question 152680: On five exams, Alex has scored 84, 86, 71, 91, and 98 points out of 100. He wants to earn at least a B in the course, which corresponds to an overall average grade of 82 or better. Out of 100 points, what is the minimum number of points Alex must earn on the final exam to achieve this goal?
PLEASE HELP..I'M SO CONFUSING!!!!

Click here to see answer by Electrified_Levi(103) About Me 

Question 152677: When Lee was 3 times as old as kevin. his sister Kate was 27. Kevin was half as old as Kate brother Lee was 38 there ages add to 143 how old are Kevin , Kate and Lee.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 152801: a man is 65 years old and his grandson is 20. how many years ago was the grandfather six times as old as the grandson?
Click here to see answer by orca(409) About Me 

Question 152802: the high school band has 12 more girls than boys. the band has a total of 106 students. how many girls are in the band?
Click here to see answer by orca(409) About Me 

Question 152630: simplify:
3m^4-7m^3+8m^2-4m - [-3m^4-(7m^3-8m^2+4m)]

Click here to see answer by orca(409) About Me 

Question 152824: solve for x:
x^2 - 25/9 = 0

Click here to see answer by jojo14344(1513) About Me 

Question 152947: How do you subtract this expression: x^2/x+6 - 36/x+6?whats the answer?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 152946: How do you add this rational expression: 6x+4/x+1 - x-1/x+1?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 152945: How do you add this rational expression: x-3/x+2+5/x+2?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 152944: How do you add this rational expression: 3x/8+x/8, whats the answer?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 152943: How do you subtract this rational expression: 4x/5-2x/5, whats the answer?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 152956: How do I factor completely x^8-1?
Click here to see answer by scott8148(6628) About Me 
Question 152956: How do I factor completely x^8-1?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 152970: 3/x+3=5/2x+6+1/x-2
Click here to see answer by edjones(8007) About Me 

Question 153056: How do you subtract this rational expression: 5n/3 - 4n/3? whats the answer?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 153058: How do you add an expression like this: n-2/n+4 + 8/n+4?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 153057: How do you add this rational expression: 3x/10 + 9x/10? Whats the answer?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 153061: How do you subtract this rational expression: 5m+8/m-1 - m-3/m-1? Whats this answer?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 153062: How do you subtract this the rational expression:x^2/x-1 - 1/x-1?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 152991: simplify:
(4x^3+x^2-3)-(-9x^3+5x^2-5)

thank you for your help

Click here to see answer by orca(409) About Me 

Question 152993: simplify:
(-8x^3y^2)(-6x^2y^3)


Click here to see answer by orca(409) About Me 

Question 152992: simplify:
-7p^8q^8+4p^8q-5pq^8 – ( 7p^8q^8 – 5p^8q + 6pq^8 )
thank you

Click here to see answer by orca(409) About Me 

Question 152994: simplify:
(-2f^6g^2h)^3

Click here to see answer by orca(409) About Me 

Question 153075: How do you subtract this rational expression 4x+y/2x+3y - 2x-2y/2x+3y?
Click here to see answer by jim_thompson5910(35256) 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, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105