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

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

Question 221251: clear the parentheses and simplify: 3(2x^3+4x^2-6x+3)-(5x^3-6x+2x^2-3).

Click here to see answer by sofiyac(695)

Question 221250: clear the parentheses and simplify: (4x^2+9x-7)-(7x^2+3x-2). write answer with the powers in desending order.
Click here to see answer by sofiyac(695)

Question 221252: simplify: (-6x^4y^2)(-2xy^3z)
Click here to see answer by sofiyac(695)

Question 221240: Please help me simplfy the following:
[(y^2)(y^5)/y^10]3
Click here to see answer by sofiyac(695)

Question 221415: P dollars is invested at annual interest r for 1 year. If the interest is compounded semiannually, then the polynominal P ( 1 + r/2) ^2 represents the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the polynominal if p= 200 r=10%
I am not sure how to begin to solve this equation. PLEASE PLEASE HELP!!!
Click here to see answer by jim_thompson5910(28598)

Question 221425: what is the horizontal asymptote(s) of -10(x-7)^5(x+8)^4/x^9-15x^5+56?
Click here to see answer by rapaljer(4667)

Question 221399: 2x to the 2nd power - 5x -6xy plus 15y
Click here to see answer by likaaka(51)

Question 221507: I have to factor each trinomial
3x^3 y^2 - 3x^2y^2 + 3xy^2
Can someone please help me understand this equation.
Thanks

Click here to see answer by drj(1380)

Question 221581: completely factoring
a^2 b + 2ab - 15b
Click here to see answer by RAY100(1637)

Question 221605: multiply and simplify: (2x-5)^2
Click here to see answer by rfer(12670)

Question 221606: multiply and simplify: (x-3)(2x^2-4x+5)
Click here to see answer by rfer(12670)

Question 221604: multiply and simplify: (6x-2)(5x+4)
Click here to see answer by sofiyac(695)

Question 221624: Henry invested $12,000 in a new resturant When the restaurant was sold two years later, he recieved $27,000. Find his average annual return by solving the equation %12,000 (1 + r )^2 = 27,000
Can someone help me understand how to solve this problem?
Click here to see answer by rfer(12670)

Question 221614: u^3-8v^3
Click here to see answer by stanbon(57387)

Question 221603: simplify: 48w^6x^2y^4z/-6w^2x^2y^3
Click here to see answer by sofiyac(695)

Question 221602: simplify: (-4x^3y^4z)^3
Click here to see answer by sofiyac(695)

Question 221600: simplify: (-3a^2)(2a^3b)(-ab)
Click here to see answer by sofiyac(695)

Question 221720: Please help me understand how to factor
z^2 - 14z + 24
Click here to see answer by rfer(12670)

Question 221726: I need to factor this expression completely.
27y^5 - 63y^4 + 30y^3
Click here to see answer by rapaljer(4667)

Question 221711: (6x^7-x+8)+(x^7+2)
Click here to see answer by rapaljer(4667)

Question 221774: determine the value of k so that x-1 is a factor of 3x^3+x^2+2kx+4

*a number with a ^ before the number means that it is an exponent
Click here to see answer by jsmallt9(3296)

Question 221835: given:4(x+2)-3=17
Prove:x=3
Click here to see answer by ichudov(499)

Question 221864: please help me with these problems. I can't seem to understand.
45z^3 - 90z^2+ 40z
and
z^2 - 14z + 24
thank you!
Click here to see answer by Alan3354(30993)

Question 221864: please help me with these problems. I can't seem to understand.
45z^3 - 90z^2+ 40z
and
z^2 - 14z + 24
thank you!
Click here to see answer by stanbon(57387)

Question 221921: Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. You reached 1 for an answer, didn’t you? How does this number game work? (Hint: Redo the number game using a variable instead of an actual number and rewrite the problem as one rational expression). How did the number game use the skill of simplifying rational expressions? Create your own number game using the rules of algebra and post it for your classmates to solve. Be sure to think about values that may not work. State whether your number game uses the skill of simplifying rational expressions.

Consider responding to your classmates by solving their number game or expanding on their game to create an even more challenging one. You may want to review responses to your number game in case you need to make changes or help another student.
Click here to see answer by solver91311(16897)

Question 221911: 8x + yw + xy +8w
5z - uz + 7u^2 -35u
I need to understand how to factor these equations
Click here to see answer by jim_thompson5910(28598)

Question 221920: What are rational expressions? How do we recognize that a statement is a rational expression?
Click here to see answer by likaaka(51)

Question 221874: I need to understand how to do this problem by factoring completely. I believe my first step is finding the common factors. Can someone show me step by step?
27y^5 - 63y^4 + 30y^3
and
125-8u^3
Click here to see answer by jim_thompson5910(28598)

Question 221956: 20

Click here to see answer by kaitlynnisbomb(3)

Question 221983: Hello, I am trying to figure out if I am on the right track. For some reason I just can't understand how to factor. Thanks in advance.
2t^2 y^4 - 32t^2 (I think at this point I can factor out the t^2)
t^2 (2y^4 - 32) (do I factor the parentheses at this point? I'm not sure where to go from here.)
Click here to see answer by jim_thompson5910(28598)

Question 222012: Can someone tell me if I am on the right track.
Simplifying
2x2 + -5xy + -18y2
Reorder the terms:
-5xy + 2x2 + -18y2
Factor a trinomial.
(2x + -9y)(x + 2y)Final result:(2x + -9y)(x + 2y)

Click here to see answer by rfer(12670)

Question 222016: factor 3z^2+13z+14
Click here to see answer by checkley77(12569)

Question 222002: Hello,
Can you please show me how to solve x + 4/3x = 560 step by step in the simplest way possible. I am having the worst trouble with this one.

Thanks,
Christa Rodriguez
Click here to see answer by checkley77(12569)

Question 222101: I am having trouble solving this problem. 3/4 x^3 + 4x^2 - x^3 + 7. I have never takeg algebra before and this problem is giving me a fit. Any help would be appreciated.
Click here to see answer by rapaljer(4667)

Question 222249: (x-2)^2
Click here to see answer by rfer(12670)

Question 222191: factor the quadratic expression t^2-6t+9
Click here to see answer by rfer(12670)

Question 222193: 9y^2-49
Click here to see answer by rfer(12670)

Question 222357: This actually isn't for me, but for a friend of mine. She emailed me the problem, seeking help, and I have no idea how to do this.
The problem is: 3y - 2 divided by 3y^3 + y^2 + 3y - 9
I would appreciate very much if you would answer this. It would teach me something, and hopefully it would help her better grasp the concept and execution of the solution.
Click here to see answer by stanbon(57387)

Question 222399: (x-2)squared -9
This would be (x-2) to the second power minus nine. I don't know how to put in the exponent.
thanks a million!
Click here to see answer by solver91311(16897)

Question 222446: A polynomial of lowest degree with rational coefficients which has 2, 3^1/2, 2i and 3i as zeroes would be of what degree?
Click here to see answer by jim_thompson5910(28598)

Question 222449: The function N(t)=-0.046t^3+2.08t+2 gives the bodily concentration in parts per million of a dose of medicine, t hours after the medicine has been swallowed. In ppm, what's the concentration 4 hours after administration? (to nearest thousandths)
Click here to see answer by jim_thompson5910(28598)

Question 222189: factor completely 27x^3+125
Click here to see answer by ankor@dixie-net.com(15660)

Question 222153: Can someone please assist me with this equation? I need to find the GCF but I am not sure what to do after that point.
22uw^7z^8 and 20u^3w^4
I believe the GCF is 2
this one find the least common multiple
8tuz^9 and 2t^3u^7 (this one has me completely lost)
Click here to see answer by ankor@dixie-net.com(15660)

Question 222493: use the Binomial Theorem to expand (x - 2y)^3
Click here to see answer by jim_thompson5910(28598)

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, 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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, 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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