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

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Question 158076: 2c^2+10c-48=
I don't understand can yo show me some examples? Thanks, Chance

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

Question 158085: Please help solve: %283x%2B1%29%5E6%282x-5%29%5E0.5%2B%282x-5%29%5E1.5%283x%2B1%29%5E5
Click here to see answer by jim_thompson5910(35256) About Me 

Question 158080: Please help solve: %28a-b%29%5E5%2B4%28a-b%29%5E3
Click here to see answer by jim_thompson5910(35256) About Me 

Question 158066: Simplify (12x^2y^8z^7/ 4x^9y^8z^4)^3
I got originally a whole different answer than the ones to choose from......


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

Question 158096: simplify/factor
(x+2)^3+(x-5)^3

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

Question 157688: 7.08x^6 + 4.15x^3 - 9.6 = 0
Is it possible to factor this equation? I would really appreciate the help.
Thanks

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

Question 158100: Solve the equation 1/4y-1=1/9y
Simplify and solve the equation (x/4x-16)-8=1/x-4
Solve for k -5/7k+-5/6=7-(-8/5k)
Solutions;
1.) given: 1/4y-1=1/9y
Sol: 1/4y-1/9y=1
9-4=36y
y=5/36
Ans: y=5/36
2.) Given: (x/4x-16)-8=1/x-4
Sol: 1/4-16-8=1/x-4
1/4-24+4=1/x
1/4-20=1/x
x/4-20x=1
x-5x=4
x=-1
Ans: x=-1
3.) Given: k-5/7k+-5/6=7-(-8/5k)
Sol: k-5/7k-5/6=7+8/5k
k-5/7k-8/5k=5/6+7
6(35k-25k-56k)=35(5+42)
6(-46k)=1645
k=-1645/276
Ans: k=-1645/276

Click here to see answer by quizan_jp(1) About Me 

Question 158103: Find the value for k that will make 4x^2+6.4x +k a perfect square.
Click here to see answer by nerdybill(7384) About Me 

Question 158062: Find the value for k that will make 4x^2+6.4x +k a perfect square.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 158110: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
LET R(x)= x^3-2x^2-7 / x^2 + 1 WHAT KIND(S) OF ASYMPTOTES DOES R(x) possess?
1. a single horizontal asymptote
2. a slant asymptote and a horizontal asymptote
3. a single slant asymptote
4 R(x) has no asymptotes

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

Question 158003: determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial.
x^2-4x
a. 16; x^2-4x+16=(x-4^2
b. -4; x^2-4x-4=(x-2)^2
c. -16; x^2-4x-16=(x-4)^2
d. 4; x^2-4x+4=(x-2)^2-x^4

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

Question 158104: Factor Completely
15+3y-5x^2-x^2y

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

Question 158112: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
WHAT IS THE EQUATION OF THE SLANT ASYMPTOTE FOR R%28x%29+=+%28x%5E2+-+x+%2B+17%29+%2F+%28x%5E2+%2B+1%29
1. R(x) = x - 1
2. R(x) = 1
3. R(x) = x + 17
4. There is no slant asymptote

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

Question 158082: Please help factor: %283x%2B1%29%5E6%282x-5%29%5E0.5%2B%282x-5%29%5E1.5%283x%2B1%29%5E5
Click here to see answer by Edwin McCravy(20054) About Me 

Question 158109: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
FIND THE DOMAIN OF THE RATIONAL FUNCTION.
g(x)= 6x / (x-1)(x+7)

Click here to see answer by midwood_trail(310) About Me 

Question 158107: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
FIND THE DOMAIN OF THE RATIONAL FUNCTION.
g(x)= x+4 / x^2+4

Click here to see answer by midwood_trail(310) About Me 

Question 158067: - 3/x + 10 = x - 10/25
Click here to see answer by midwood_trail(310) About Me 

Question 158037: Solve the given equation.
- 3/x + 10 = x - 10/25

Click here to see answer by atique.ah(27) About Me 

Question 158206: 3/y = ?/ky

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

Question 158266: Please help me solve this equation: 6x%5E4+-19x%5E2+%2B10=0+
Click here to see answer by checkley77(12844) About Me 

Question 158081: Please help solve: %28a-b%29%5E5%2B4%28a-b%29%5E3
Click here to see answer by Alan3354(69443) About Me 

Question 158265: simplify by removing factors of 1 y^2-49/7-y.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 158325: 2, 1.
Need Help!
Express this following rational expressions in lowest terms, please...

x OVER x + xy
thank you.

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

Question 158326: Express this following rational expressions in lowest terms, please:
3x^2 + 6x OVER 3x^2 + 9x
thank you.

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

Question 158328: 2, 4 Express this following rational expressions in lowest terms, please!
4x^2 - 12x - 40 OVER 2x^2 - 16x + 30
wow... need help! thanks.

Click here to see answer by scott8148(6628) About Me 

Question 158324: Consider the fractional problem:
x - 8 OVER x + 5 divided by x - 9 OVER x + 4
Explain to me why -5, 9 and -4 are not allowable replacements for the variable x.
thank you very much.

Click here to see answer by scott8148(6628) About Me 

Question 158327: 2,3 Express this following rational expressions in lowest terms, please:
x^2 + 2x + 1 OVER x + 1
thank you.

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

Question 158506: (2/3y-1/2)^2

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Question 158491: (11x+3y)(x+4y)
Click here to see answer by checkley77(12844) About Me 

Question 158464: Factor a^6-b^6
Click here to see answer by checkley77(12844) About Me 

Question 158516: step by step on how to solve a rational equation 1/5 + 1/x = 1/2
Click here to see answer by jojo14344(1513) About Me 

Question 158540: I need help with this multiplication:
3x over 2y * y^2 over 6 = ?
Thank you for your help.

Click here to see answer by stanbon(75887) About Me 

Question 158541: Please help me with this one, thank you so much.
it's multiplication, I need to express the results in the lowest terms...
6x^5 y^3 OVER 5z^3 MINUS 6x^4 OVER 5yz^4 = ?
Thank you!

Click here to see answer by gonzo(654) About Me 

Question 158687: 4X^3-XY^2
Click here to see answer by stanbon(75887) About Me 

Question 158709: help please!
x^2+2x/3x-x^2 + 5x+6/3x =
thank you.

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

Question 158722: can someone please help me figure this out?
Which of the following coefficients cannot be zero if p(x) is a parabola and of the form p(x) = Ax^2 + Bx + C?
1. A
2. B
3. C
4. None of the above, A, B, and C can each have the value of 0

Click here to see answer by scott8148(6628) About Me 
Question 158722: can someone please help me figure this out?
Which of the following coefficients cannot be zero if p(x) is a parabola and of the form p(x) = Ax^2 + Bx + C?
1. A
2. B
3. C
4. None of the above, A, B, and C can each have the value of 0

Click here to see answer by vleith(2983) About Me 

Question 158718: can someone please help me figure out this problem:
Which of the following pair of points is indicative of a zero per the Intermediate Value Theorem?
1. (0,0) & (2,-3)
2. (-2,-3) & (2,-3)
3. (2,0) & (0,-3)
4. (3,-4) & (-6,12)

Click here to see answer by scott8148(6628) About Me 

Question 158717: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Which of the folling is a sixth order equation?
1. S(x) = x^5 + x^6 - 2x +7
2. Q(x) = x^2 + 3^6
3. M(x) = (x^3)^3 - 12x + 4
4. None of the above

Click here to see answer by scott8148(6628) About Me 

Question 158706: here's a simple one, yet I don't think I'm doing it right.
x-1 / 6 + x / 6 =
help! thank you.

Click here to see answer by gonzo(654) About Me 

Question 158745: A rectangle is three times as long as it is wide. if its length and width is decreased by 2cm its area is decreased by 36 cm^2. Find its original dimensions.
Click here to see answer by stanbon(75887) About Me 

Question 158749: can someone help me answer this question;
If f(x) is a parabola, then:
1. it is a step function
2. it is a continuous, smooth function
3. it is a piecewise function
4. it is a square root function

Click here to see answer by stanbon(75887) About Me 

Question 158747: can someone help me with this question;
What is the relationship between the degree of a polynomial and the maximum number of zeroes it can have?
1. The number of zeroes is one less than the degree of the polynomial.
2. The degree of the polynomial is one less than the number of zeroes.
3. They are the same value.
4. The number of zeroes is the square of the degree of the polynomial.

Click here to see answer by stanbon(75887) About Me 

Question 158746: can someone help me with this question;
If a function has an odd degree and a negative leading coefficient, then what is the minimum number of zeroes it must possess/
1. 1
2. 0
3. -1
4. This cannot be determined based on the given information.

Click here to see answer by stanbon(75887) 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