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

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

Question 43494: Find the product of this monomial:
h^8k^3 * 5h

Thanks
Click here to see answer by checkley71(8403)

Question 43494: Find the product of this monomial:
h^8k^3 * 5h

Thanks
Click here to see answer by Nate(3500)

Question 43497: I have to write the following equations in the form: quotient + remainder/divisor.
2x^2 +4
-------
2x

Can anyone answer this and show the work?
Thanks

Thanks
Click here to see answer by Nate(3500)

Question 43495: Evaluate -2x^4 - 3x^2 + 5x - 9 for x = 2

Thanks
Click here to see answer by Nate(3500)

Question 43490: Graph: f(x)=(-x)^4+4x^2-2x by making a table of values. Then estimate the x-coordinates at which the relataive maxima and relative minima occur.

Click here to see answer by Nate(3500)

Question 43481: Solve 2x^2=3x+2 by graphing. If exact roots cannot be found, state the consecutive integers which the roots are located.
Thanks
Click here to see answer by Nate(3500)

Question 43477: Write the expression m^(7/9) in radical form.
Click here to see answer by Nate(3500)

Question 43473: Simplify:
5x^3(7x)^2
Click here to see answer by Nate(3500)

Question 43506: Find the maximum value of y=-x^2+6x. I worked it out to be 10 but not to sure about that. thanks for any help given.
Click here to see answer by Nate(3500)

Question 43476: Use synthetic division to find:
(2x^3-5x^2+7x-1)/(x-1)
Click here to see answer by Nate(3500)

Question 43476: Use synthetic division to find:
(2x^3-5x^2+7x-1)/(x-1)
Click here to see answer by venugopalramana(3286)

Question 43471: I posted this one before, but the person that answered did not read the question right. Can someone please help, I'm trying to understand how to do this.
x^3-2x^2-33x-7 over x-7. I need to divide it out and I am having a hard time grasping the long division. The examples I have to go by are not as long as this one. Please help!
Click here to see answer by venugopalramana(3286)

Question 43525: Would anyone be kind enough to show the steps and solution to the following?
Simplify. Write answers WITHOUT negative exponents.
(p-5)^-9(p^6)^4
________________
(p^-8)^0(p^4)^-5

Click here to see answer by Nate(3500)

Question 43524: Can anyone show the steps and solution to the following?
Perform the computations. Write answer in scientific notation.
1 • 10^-8
__________
4 • 10^7

Click here to see answer by Nate(3500)

Question 43520: Hello, I need to simplify the expression: (6ax^4)^2(2x)^-2. Thank you for your help!
Click here to see answer by Nate(3500)

Question 43522: Can anyone show the steps and solution to the following problem using the Power of a Product rule?
It's really difficult to write this problem out as this submission box is very limited in what you can type or paste, but here goes...
-10rs^9t^4
___________
2rs^2t^7
The above equation is all in parentheses with^3 on the outside of the ()^3, so it's all to the 3rd power.
Thanks so much.

Click here to see answer by jake_6233(74)

Question 43567: Find the solutions to the equation: x+7/x=8. Answer is either: A.-8,1 B.1,7 C.2,4 D.3,4. Please advise, thank you!
Click here to see answer by checkley71(8403)

Question 43567: Find the solutions to the equation: x+7/x=8. Answer is either: A.-8,1 B.1,7 C.2,4 D.3,4. Please advise, thank you!
Click here to see answer by stanbon(57285)

Question 43585: Find the inverse of f(x)=7x-2.
Click here to see answer by Nate(3500)

Question 43584: f(x)=3x, and g(x)=4x-3, find f[g(5)] and g[f(5)].
Click here to see answer by Nate(3500)

Question 43583: List all of the possible rational zeros of f(x)=3x^5-7x^3+2x-15.
Click here to see answer by Nate(3500)

Question 43582: State the number of positive real zeros, negative real zeros, and imaginary zeros for g(x)=9x^3-7x^2+10x-4.
Click here to see answer by Nate(3500)

Question 43580: One factor of f(x)=x^3+x^2-22x-40 is x+4. Find the other factors.
Click here to see answer by Nate(3500)

Question 43586: Graph y> or = √(3x+12).
Click here to see answer by Nate(3500)

Question 43581: add and express in simplest form
x^2/x+9 + x-72/x+9
Thanks for the help
Click here to see answer by Nate(3500)

Question 43579: add and express in simplest form
2/s + 9/s^2
I think it may be 11/s but am not sure and need help.
Thanks

Click here to see answer by Nate(3500)

Question 43610: What is the domain of y=3x^2?
Click here to see answer by stanbon(57285)

Question 43407: how do you simplify x(squared) plus 4x over x(squared) minus 9x?

how do you simplify n(squared) plus 7n plus 10 over n(squared) plus 2n minus 15?
Click here to see answer by gsmani_iyer(180)

Question 43475: (8y^3+27)/(2xy-10y+3x-15
Click here to see answer by gsmani_iyer(180)

Question 43639: Can anyone help me with the steps and solution to this FOIL problem?
Use FOIL method to find each product.
(5y³w² + z)(2y³w² + 3z)

Thanks

Click here to see answer by Nate(3500)

Question 43641: Can anyone help me with the steps and solution to this problem?
Simplify each expression using the definition of zero exponent
-4^0 – 8^0

Thanks

Click here to see answer by Nate(3500)

Question 43643: Checking my math here: can someone show the steps and solutions to:
Find each product.
(3z^4 -8)²

Click here to see answer by Nate(3500)

Question 43646: I have a test due today and I am stuck - can anyone help please.
3/x-5 + 1
divided by
1- 4/x-5
Thanks
Click here to see answer by Nate(3500)

Question 43649: Checking my math: Can someone shows the steps and solution? Thanks
Simplify using the power rule.
5y^3(y^5)^2
____________
10y^5(y^2)^6

Click here to see answer by stanbon(57285)

Question 43651: Checking my math. Can anyone show me the steps and solution to:
Perform the indicated operation.
(w² - 2w + 1) + (2w – 5 + w²)

Thanks gang
Click here to see answer by Nate(3500)

Question 43683: How do you find the axis of symmetry of the equation.... y=-3x^2-6x+4 ?
Click here to see answer by Nate(3500)

Question 43700: I must facgtor completely the polynomial. Indicate any that are not factorab le using integers.
That would be x cubed - 64x. The 64x is throwing me off....Please help.
x^3-64x

Click here to see answer by Nate(3500)

Question 43702: Solve the equation using factoring techniques.
10x^2-19x+6=0.
Click here to see answer by Nate(3500)

Question 43702: Solve the equation using factoring techniques.
10x^2-19x+6=0.
Click here to see answer by jake_6233(74)

Question 43701: Add and put into simplest form
6/3x-2 + 3/2x
Thanks for help
Click here to see answer by jake_6233(74)

Question 43752: what expression raised to the fourth power is
81x^12y^8z^16
Click here to see answer by mbarugel(146)

Question 43741: What are the solutions to, x^2-2x=0.
Click here to see answer by mbarugel(146)

Question 43777: remove the parentheses and simplify
8d-(-7c-2d)
Click here to see answer by jake_6233(74)

Question 43776: add the following
5b^3-8b+2b^2 and 3b^2-7b^3+5b
Click here to see answer by checkley71(8403)

Question 43794: This is a factoring problem with that may of may not have more than one solution. I need to see the steps to resolving it and any/all solutions. Can anyone help me?
w³ + 5w² - w = 5

Thanks
Click here to see answer by Nate(3500)

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