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

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

Question 157080: v=√(2gE/m),for g
Click here to see answer by Alan3354(69443)

Question 157074: Solve the problem. The perimeter of a rectangle is 62 m. If the width were doubled and the length were increased by 21 m, the perimeter would be 120 m. What are the length and width of the rectangle?
Click here to see answer by ankor@dixie-net.com(22740)

Question 157136: Solve by completing the square 3x^2 � 8x + 2 = 0
Click here to see answer by Edwin McCravy(20054)

Question 157135: Find the quotient: - 3 + i/-8 + 2i
Click here to see answer by ankor@dixie-net.com(22740)

Question 157248: Please help me solve this problem 3b^2-48
Click here to see answer by checkley77(12844)

Question 157248: Please help me solve this problem 3b^2-48
Click here to see answer by jim_thompson5910(35256)

Question 157254: Please help me solve this problem 2b^2+13b-7
Click here to see answer by jim_thompson5910(35256)

Question 157262: Please help me solve this problem 6c^2+13c+6
Click here to see answer by jim_thompson5910(35256)

Question 157296: 1. Could you help me out here... I want someone to explain to me how to reverse FOIL when factoring a polynomial of the form ax^2 + bx + c when a = 1. What would a good example be?
Thank you!
Click here to see answer by checkley77(12844)

Question 157297: 2. In order to fully understand what I'm doing here, I need to have it explained to me how to factor a polynomial of the form ax^2 + bx + c when a is not equal to 1. I know there is the grouping approach as well as reversing FOIL and I want to be able to see an example. Which approach would be the best? Could somebody explain this to me as well? Thank you so very much, I truly need guidance on this. Thank you.
Click here to see answer by gonzo(654)

Question 157335: Find the polynomial for the perimeter and for the area. (Top of the square is n+10, side of the square is n)
Perimeter is ? (Simplify, do not factor)
Area is ? (Simplify, do not factor)
Click here to see answer by Fombitz(32388)

Question 157350: What is the degree of 5n^2-5n^2
Click here to see answer by jim_thompson5910(35256)

Question 157326: 3/y=y/(5y-12)
Click here to see answer by checkley77(12844)

Question 157324: In the sports league of n team s in which each team plays every other team twice, the total number of N of games to be played is given by N=n^2-n. How many teams are in a softball league if the number of games played is 42?
Click here to see answer by checkley77(12844)

Question 157356: EXCUSE MAY SOMEONE PLEASE HELP ME WITH THIS PROBLEM
3X+3Y+AX+AY
Click here to see answer by josmiceli(19441)

Question 157328: Solve the problem. Joe has a collection of nickels and dimes that is worth $6.00. If the number of dimes were doubled and the number of nickels were increased by 6, the value of the coins would be $9.90. How many dimes does he have?
Click here to see answer by gonzo(654)

Question 157391: A cruise boat travels 48 miles downstream in 3 hours and returns upstream in 6 hours. Find the rate of the stream.
Click here to see answer by gonzo(654)

Question 157392: 24/(x-2)+24/(x+2)=5 please help me solve this problem
Click here to see answer by gonzo(654)

Question 157460: Multiply out
(x+6)(x^3-x^2-5x+1)
Please help
Click here to see answer by midwood_trail(310)

Question 157459: Multiply (-2x+2)^2
My result is -2x^2-4x+4
Is it correct?
Click here to see answer by midwood_trail(310)

Question 157458: (x-4)(2x^2+4)+(x+4)(x^3-1)-(x^2-x-1)

The question ask to combind terms and multiply....Here is my result?????

(x*2x^2)+(x*4)+(-4*2X^2)+(-4*4)= 2x^3+4x-8x^2- 16
= -10x^5-16

(x*x^4)+(x*-1)+(4*x^3)+(4*-1)= x^4-x+4x^3-4
= 4x^6-4

x^2-x-1
= x-1

(-10x^5-16)+(4x^6-4)-(x-1)

= -7x^10-19

Click here to see answer by MathLover1(20849)

Question 157493: (7x^2-x+1)-(2x^2-x-3)-(5x^2+33x-10)
Click here to see answer by jim_thompson5910(35256)

Question 157511: can someone explain this problem to me?
Click here to see answer by Edwin McCravy(20054)

Question 157606: How can you make a percent to a degree?
Click here to see answer by josmiceli(19441)

Question 157666: Given that (x-2)^2 is a factor of the polynomial a(x^3) + b(x^2) + 7x + 4, find a and b and the other factor. Thank you.
Click here to see answer by edjones(8007)

Question 157684: Using polynomials, could you write this out for me, with solution?
Linda has a garden. The width of her garden is 8 feet longer than the length of it. Around the garden she has a 4 foot wide sidewalk. The area of the sidewalk is 320 feet squared. What are the dimensions of the garden?
Thank you.
Click here to see answer by gonzo(654)

Question 157724: If B and C are the real roots of x^2+Bx+C=0 where B does NOT equal 0 and where C does not equal 0, find the product of B and C.
Click here to see answer by ptaylor(2198)

Question 157771: How do I simplify -w+3(3+4w)

Click here to see answer by jim_thompson5910(35256)

Question 157853: True or false: This pair of equations is equivalent. 9x-3=15 and 5x + 4=14
true or false:The solution of the equation 7y-6=7y +3 is zero
Click here to see answer by jim_thompson5910(35256)

Question 157861: Factor Completely
3(x-2)^2-3(x-2)-6
Click here to see answer by Fombitz(32388)

Question 157900: Form a polynomial whose zeros are -2, 2, 3; degree 3
Click here to see answer by jim_thompson5910(35256)

Question 157915: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
If g(x)= 3f(x) and f(13) = 12, then g(13)=
Click here to see answer by nerdybill(7384)

Question 157989: Find the difference: (8 + 6i) � (�6 � 2i)
Click here to see answer by checkley77(12844)

Question 157986: 24. Find b^2 � 4ac and the number of real solutions for the given equation.
�x^2 + 12x � 32 = 0
Click here to see answer by jim_thompson5910(35256)

Question 157983: Find the indicated value of the polynomial.
R(x) = x^3 + x^2, R(�1)
Click here to see answer by jim_thompson5910(35256)

Question 157994: Find the imaginary solutions: x^2 + 20x + 101 = 0
Click here to see answer by jim_thompson5910(35256)

Question 157933: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
R(x)= x^3 - 2x^2 - 7 / x^6 - 2x^5 + 6x^2 - 4. How many vertical asymptotes are possible?
Click here to see answer by jim_thompson5910(35256)

Question 157930: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
FIND THE HORIZONTAL ASYMPTOTE, IF ANY, OF THE GRAPH OF THE RATIONAL FUNCTION
f(x)=8x/2x^2 + 1
Click here to see answer by jim_thompson5910(35256)

Question 157916: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Consider d(x)=(x+2)^3+3; what is the new equation for d(x) if it is 4 times larger?
a. d(x)=4(x+2)^3 +12
b. d(x)=(x+2)^12 + 3
c. d(x)= 4(x+2)^3
d. d(x)=4(x+2)^3 +3
Click here to see answer by jim_thompson5910(35256)

Question 157936: SOMEONE HELP PLEASE:
y varies jointly as a and b and inversely as the square root of c. y = 48 when a = 4, b =8, and c = 36. Find y when a = 2, b = 7, and c = 16.
Click here to see answer by vleith(2983)

Question 158034: Find a polynomial whose zeros are: - 2, multiplicity 2; 4, multiplicity 1; degree 3
Click here to see answer by Alan3354(69443)

Question 158039: . Simplify
(-12x^6y^8z^7/ 4x^9y^8z^4)^3
Click here to see answer by integral13(8)

Question 158061: Factor Completely
16x^4-40x^2+9
Click here to see answer by jim_thompson5910(35256)

Question 158062: Find the value for k that will make 4x^2+6.4x +k a perfect square.
Click here to see answer by nabla(475)

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