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

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Question 962779: 3/4x=14 SOLVE

Click here to see answer by EdenWolf(517) About Me 

Question 963221: Find the cubic wquation that has -1 adn 2i as roots. Choices
a)y=x cubed - x squared + 4x - 4
b)y=x cubed + x squared - 4x - 4
c)y=x cubed + x squared + 4x + 1
d)y=x cubed + x squared + 4x + 4
e)y=x cubed - x squared + 4x - 1
The book says the answer is D, but I do not understand the steps to get there.

Click here to see answer by MathLover1(20849) About Me 

Question 963268: Please help to solve: 4y3-2=y-8y^2 using factoring and product principle.
Click here to see answer by josgarithmetic(39613) About Me 

Question 963265: Please help to solve: 4y3-2=y-8y^2 using factoring and product rule.
Click here to see answer by josgarithmetic(39613) About Me 

Question 963232: The polynomial x^3 + 2x^2 − 29x + 42 has -7 as one zero. Find the quadratic factor.
Click here to see answer by josgarithmetic(39613) About Me 

Question 963336: solve ax^2-7a please

Click here to see answer by Alan3354(69443) About Me 

Question 963294: What two numbers multiply to -16 and adds to 8
Click here to see answer by Alan3354(69443) About Me 

Question 963426: Adam ran a 15-kilometer race. He completed the race in 1.6 hours. Adam’s speed for the first kilometer can be represented by the function d = 9.2h, where d is distance in kilometers and h is time in hours. Was Adam’s average speed for the first kilometer of the race faster or slower than his average speed for the entire race? Justify your answer.
Click here to see answer by macston(5194) About Me 

Question 963419: write a polynomial funtion of least 6, 3, and 2 1/2
Click here to see answer by Fombitz(32388) About Me 

Question 963287: Use the rational zero theorem to list all possible rational zeros for the given function.
f(x)=6x^4+3x^3-2x^2+2

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

Question 964150: Please help me, I have done the entire first half but this page is confusing me and I would just like some explaining or examples. Thank you.
Information: Bernard is realizing that his dimensions are not fitting the way that he wants it to because he forgot about the deck. The deck is going to be a rectangular space that borders the pool. Also, for the pool to fit just right, there must be a special product represented when either the area or volume expressions are determined. He wants you to design your own rectangular pool using polynomial expressions, including the deck that borders the pool.
1. Include a diagram or sketch of your pool and deck. Your diagram must have all dimensions represented with polynomials and ensure that a special product will be used.
2. Determine the polynomial expression to represent the area of land space that the pool will cover.
3. Determine the area of the deck that borders the pool based on your dimensions.
I just need help on making this assignment a bit more clear so I can understand it, thank you again.

Click here to see answer by josgarithmetic(39613) About Me 

Question 964214: x^3-5x^2-11x+39. plz solv it

Click here to see answer by Theo(13342) About Me 

Question 964233: A student is asked to solve b^2+b^2=c^2 for a and gives the following solution. Assume all variables represent positive Real Numbers.
(Step 1) +b%5E2%2Ba%5E2=c%5E2+
(Step 2) +sqrt%28+b%5E2%2Ba%5E2+%29+=+sqrt%28+c%5E2+%29+
(Step 3) b+a=c
(Step 4) a=c-b

Explain the mistake(s) made by the student and provide the correct solution. Make sure to analyze the entire solution as there may be multiple mistakes made.
I cannot figure out the answers to this question. I think I might have the answers but I am not sure they are correct. Any help would be appreciated!

Click here to see answer by Alan3354(69443) About Me 
Question 964233: A student is asked to solve b^2+b^2=c^2 for a and gives the following solution. Assume all variables represent positive Real Numbers.
(Step 1) +b%5E2%2Ba%5E2=c%5E2+
(Step 2) +sqrt%28+b%5E2%2Ba%5E2+%29+=+sqrt%28+c%5E2+%29+
(Step 3) b+a=c
(Step 4) a=c-b

Explain the mistake(s) made by the student and provide the correct solution. Make sure to analyze the entire solution as there may be multiple mistakes made.
I cannot figure out the answers to this question. I think I might have the answers but I am not sure they are correct. Any help would be appreciated!

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

Question 964327: I am to factor by grouping the following 3x^3+18x^2-5x -25 unsure how to do it
3x^3+18^2-5x-25
3x^2(x+6)-5(x-5)?
Please help!!!

Click here to see answer by josgarithmetic(39613) About Me 

Question 964570: Hi There! Can You Please Help Me Solve This?? I Just Don't Know How To Take The First Step...
Solve each equation over the complex numbers:
x^3+5x^2+4x+20=0
Thank You So Much!

Click here to see answer by josgarithmetic(39613) About Me 

Question 964572: Hi There! Can You Please Help Me Solve This?? I Just Don't Know How To Take The First Step...
Solve each equation over the complex numbers:
x^3-2x^2-11x-78=0
Thank You So Much!

Click here to see answer by josgarithmetic(39613) About Me 

Question 964534: Adding and Subtracting Polynomials:
(7x *exponent 4* + 12x *exponent 3*)+ (4x *exponent 3* - 25)

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

Question 964676: Give an example of a polynomial of degree 5 with three distinct zeros and multiplicity of 2 for at least one of the zeros.
Click here to see answer by Theo(13342) About Me 

Question 964700: What is (3x/a+b)-(2x/a-b) factored and simplified?
Click here to see answer by josgarithmetic(39613) About Me 

Question 964699: Write a polynomial function of least degree with real coefficients in standard form that has zeros +4 and -4 and 3i. Thanks!
Click here to see answer by Fombitz(32388) About Me 

Question 964738: Solve: 0=x^2+7x+11. Thanks!
Click here to see answer by josgarithmetic(39613) About Me 

Question 964757: Please help me factor the trinomials.

25x%5E2+-15x+%2B+2

Click here to see answer by macston(5194) About Me 

Question 964774: Please help me factor the polynomial
2x'2 - 50y'2

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

Question 964791: The length of a piece of rectangular cardboard in centimetres is 6x + 3. The width is 1 cm less than one third of the length. What is an expression for the area of the cardboard?
Click here to see answer by stanbon(75887) About Me 

Question 964817: Please help me solve the equation.
X'3 + 3x'2 - 4x - 12 =0

Click here to see answer by Alan3354(69443) About Me 
Question 964817: Please help me solve the equation.
X'3 + 3x'2 - 4x - 12 =0

Click here to see answer by josgarithmetic(39613) About Me 

Question 964815: Please help me find the product of
5x + 2 and -x + 8

Click here to see answer by Alan3354(69443) About Me 

Question 964899: help me out in finding the roots of 3s^4 + 2s^3 + 0.64s^2 + 0.085 - 0.012.
Click here to see answer by Fombitz(32388) About Me 

Question 964938: When solving the equation sqrt(x+5)=4+x, x=-2.38196601125011,x=-4.61803398874989 after using the quadratic formula. -2.38196601125011 seems to work, but is -4.61803398874989 extraneous? Thanks!
Click here to see answer by Fombitz(32388) About Me 

Question 964772: Please help me solve the trinomials
5x'2 + 43x + 24

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

Question 965017: 4a divided by 5y multiplied by 3a divided by 9

Click here to see answer by t0hierry(194) About Me 

Question 965052: I'm doing negative exponents and they're killing me. I'm trying to understand the concept,especially this certain question. I hope you can help me.
5a^6'b^-9
------------
c^-4'd^5
The answer key has the c^-4 joining the 5 (5c^4) as well as a^-6, b^-9 moving to the denominator with d^5. I hope you can understand this email and explain to me why these exponents moved as they did. .

Click here to see answer by Alan3354(69443) About Me 
Question 965052: I'm doing negative exponents and they're killing me. I'm trying to understand the concept,especially this certain question. I hope you can help me.
5a^6'b^-9
------------
c^-4'd^5
The answer key has the c^-4 joining the 5 (5c^4) as well as a^-6, b^-9 moving to the denominator with d^5. I hope you can understand this email and explain to me why these exponents moved as they did. .

Click here to see answer by Theo(13342) About Me 

Question 965077: Solve the equation
X'2 + 3x = 0

Click here to see answer by josgarithmetic(39613) About Me 

Question 965106: In the equation x^2+8x+12=(x+a)(x+b) is an integer. Find algebraically all possible values of b.
Click here to see answer by stanbon(75887) About Me 

Question 965110: Factor this polynomial correctly: 3x^3+18x^2+24x
Click here to see answer by stanbon(75887) About Me 

Question 965074: Factor out the greatest common monomial factor from
21z'3 + 28z

Click here to see answer by Alan3354(69443) About Me 

Question 965107: Factor this polynomial correctly: 2x^2-22x-24
Click here to see answer by Theo(13342) About Me 

Question 965171: Find the number x less than 3x+4y
Click here to see answer by Fombitz(32388) About Me 

Question 965243: -x^2+6x-9
Click here to see answer by Alan3354(69443) About Me 

Question 965247: Solve the following rational equation
1 over x+3 + 1 over x+4 = 1

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

Question 965367: (X + 8) ( x - 1) = 0
Click here to see answer by EdenWolf(517) About Me 
Question 965367: (X + 8) ( x - 1) = 0
Click here to see answer by Alan3354(69443) About Me 

Question 965376:
Click here to see answer by EdenWolf(517) 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