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

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

Question 621116: (2x+3)(2x+3)
Click here to see answer by ladyluck4772(11)

Question 621157: So I need some help please, it's solving for variables, 2x+5x=210 it should come out to be x=30 but how would you do each step and check that?? Also 30-3a>6
I would appreciate it! Thank you!!
Click here to see answer by unlockmath(1614)

Question 621094: when the sum of a number plus 2 is squared, it is 16 more than the square of that number. what is the number?

Click here to see answer by math-vortex(472)

Question 621161: solve 9x+4 = 4x+5
Click here to see answer by jim_thompson5910(28715)

Question 621175: Evaluate.
(–x)^2 − 5x, for x = −3
Click here to see answer by nerdybill(7008)

Question 621262: Solve for h. S = 2πr + πrh
Click here to see answer by unlockmath(1614)

Question 621257: 1/2-x+7=3/4+2x
Click here to see answer by lenny460(837)

Question 621259: Solve for the indicated variable. a^2+b^2=c^2. Solve for b
Click here to see answer by richwmiller(9144)

Question 621369: Coefficent of 2x

Click here to see answer by fcabanski(889)

Question 621345: what are the possible rational zeros and real zeros of f(x)=x^3+3x^2-2x-8
Click here to see answer by lwsshak3(6763)

Question 621421: Simplify by removing factors of 1.
(r^2-16)/((〖r+4)〗^2 )
Click here to see answer by ewatrrr(10682)

Question 621439: Solve. The solutions are:
u/4-u/4=0
Click here to see answer by Alan3354(31532)

Question 621419: Maria can shovel her driveway in 65 minutes. Bill can do the same job in 40 minutes. How long would it take Maria and Bill to shovel the driveway if they worked together?
Click here to see answer by nerdybill(7008)

Question 621456: 7x + 12 > 6x - 15
i dont remeber what section this is under can you help me solve it
Click here to see answer by ewatrrr(10682)

Question 621456: 7x + 12 > 6x - 15
i dont remeber what section this is under can you help me solve it
Click here to see answer by josmiceli(9817)

Question 621484: find all numbers for which the rational expression is undefined:
2/w-5
Click here to see answer by nerdybill(7008)

Question 621500: I need some help
Add. Simplify if possible.
(2/vz^2) + (9/v^2z)
Click here to see answer by math-vortex(472)

Question 621581: could you help me simplify this expression:
4w + 3x squared - 7y - 2w
I think it's 2w + 3x squared - 7y
but I'm not sure.
Click here to see answer by Alan3354(31532)

Question 621529: I need help in finding the area, length, and width of the garden and I also need to solve each of theses problems and show my work, but I don't know where to begin. Can someone please help me?
Part One - Gina wants to begin by figuring out how long the corn bed will be. She knows that in her previous two gardens, she was able to plant 2 rows in a 5 foot long space and 5 rows in an 11 foot long space. Find a linear equation for the length of the bed (y) in which she can fit x rows of corn.
Hint: Use the two pairs of values from her previous two gardens to write two ordered pairs of the form (x,y), then use these pairs to write an equation of the form y = mx + b.

Part Two - If Gina wants the corn bed to be12 feet in width, write an expression for the area of the corn bed (assuming she is going to plant x rows of corn). Simplifying my answer.
Part Three - Next, Gina plans to plant a square bed of peas. If the length of each side of the pea bed is 3 feet less than the length of the corn bed (from #1), what is the length of each side of the pea bed? Simplify my answer.
Part Four - Find an expression for the area of the pea bed. Simplify your answer.
Part Five - In order to know how much topsoil the beds will need altogether, Gina needs to know the total square footage of both of the beds. Write an expression for the combined area of the two beds. Simplify your answer by combining like terms.
Please help me to understand and solve these equations.. Thanks in advance for any suggestions or recommendations.
Click here to see answer by KMST(1936)

Question 621591: Factor and show work to 3c^7-192c^4
Click here to see answer by Maths68(1474)

Question 621659: what is the f(x) of (1+√5),2 ,-1
Click here to see answer by lynnlo(4169)

Question 621616: I have two problems that I cannot seem to make sense of:
multiply/simplify
6x^2+2x-4/4x^2-1 * 4x^2+4x+1/6x^2+29x-22
AND
find LCD then subtract and simplify
x-1/x^2-1x-6 minus x-1/x^2-4
Click here to see answer by ewatrrr(10682)

Question 621727: Find all zeros of the function and write the polynomial as a product of linear factors.
f(x)=x^4+13x^2+36

Mult choice answers:
A) f(x)=(x+i)(x-i)(x+6i(x-6i)
B) f(x)=(x+2i)^2(x+3i)^2
C) f(x)=(x+2+3i)^2(x+2-3i)^2
D) f(x)=(x+2i)(x-2i)(x+3i)(x-3i)
Click here to see answer by ewatrrr(10682)

Question 621756: Hi. I don't understand polynomial long division. Could someone help me? I would really appreciate it. Thanks again. Rae
-4x^3 + 24x^2 - 24x + 4 by x^2 -5x + 1
Click here to see answer by lwsshak3(6763)

Question 621770: Can you show me how
?
I think I can simplify to the first stage but the second eludes me.
Thanks
Click here to see answer by Alan3354(31532)

Question 621770: Can you show me how
?
I think I can simplify to the first stage but the second eludes me.
Thanks
Click here to see answer by solver91311(17077)

Question 621715: Place the indicated product in the proper location on the grid.
(x + y + 3)(x + y - 4)
Click here to see answer by solver91311(17077)

Question 621774: 28x^2y^2 - 49x^2y
I need help on factoring this. I have no clue even where to start. I don't even know what ^ means. Please help me!

Click here to see answer by solver91311(17077)

Question 621784: I cant quite figure out this question. -> There are 32 players in a single-elimination chess tournament. That is, a player who loses once is eliminated. Assuming that no ties are allowed, how many games must be played to determine a champion?
How do you figure it out.

Click here to see answer by Alan3354(31532)

Question 621803: write a polynomial funtion of least degree that has real coefficients, the given zeros, and a leading coefficient of 1.
3, -3, 2i
I love you.
Click here to see answer by Alan3354(31532)

Question 621827: How do you solve the equation for the given variable?
9(z-5)-6z+10=5z-43
Click here to see answer by rfer(12730)

Question 621901: Factor by grouping, if possible, and show me how to check... much appreciated
8a^3 - 2a^2 + 12a – 3

Click here to see answer by jim_thompson5910(28715)

Question 621901: Factor by grouping, if possible, and show me how to check... much appreciated
8a^3 - 2a^2 + 12a – 3

Click here to see answer by lenny460(837)

Question 621898: factor completely. If polynomial is prime state this
28x^2+38x-6

Click here to see answer by jim_thompson5910(28715)

Question 621898: factor completely. If polynomial is prime state this
28x^2+38x-6

Click here to see answer by lenny460(837)

Question 621921: Perform the indicated operatoin. When no operatoin is indicated, simplify the rational expression completely.
3x^2-5x/18x-30
(3x(squared)-5x over 18x-30)
Click here to see answer by jsmallt9(3296)

Question 621893: What value of c makes the polynomial below a perfect square?
4x^2+12x+c
Click here to see answer by KMST(1936)

Question 621967: 9t^2 + 3t = 0
3t(3t + 1)= 0
My professor syas I have the factoring correct, but that I need to now solve for t. Can someone help me understand this. Thank You.
Rae Henson
Click here to see answer by ewatrrr(10682)

Question 621989: log5 (1/25)=?
Click here to see answer by nerdybill(7008)

Question 622048: Form a polynomial whose zeros and degree are given.
zeros: -5, multiplicity 2;5, multiplicity 1; degree 3
Multi Choice Answers:
A) x^3-5x^2-50x+125
B) x^3+5x^2-25x-125
C) x^3-5x^2-25x+125
D) x^3+10x^2-25x-125
Click here to see answer by Alan3354(31532)

Question 622008: Please Help! Factor
x^8-1 This problem seems simple, but is making my head spin!! Thank you!!!

Click here to see answer by KMST(1936)

Question 622099: A student has 54 coins in a bank. There are only quarters, nickles, and dimes in the bank. If there are twice as many dimes as quarters and three times as many nickels as quarters, how many dimes are in the bank?
Click here to see answer by jessica43(140)

Question 622126: Kristina’s work to simplify the expression 12 ÷ 3 + (7 – 5) + 32 • 6 is shown below. Did Kristina make a mistake? If so:
Part 1: Explain where she made her mistake.
Part 2: Simplify the expression correctly to tell what her answer should have been.
Expression: 12 ÷ 3 + (7 – 5) + 32 • 6
Step 1: 12 ÷ 3 + 2 + 32 • 6
Step 2: 12 ÷ 3 + 2 + 9 • 6
Step 3: 12 ÷ 3 + 11 • 6
Step 4: 4 + 11 • 6
Step 5: 4 + 66 How do I solve this?
Click here to see answer by jim_thompson5910(28715)

Question 622198: Please help me solve this equation:
Click here to see answer by Alan3354(31532)

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