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

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

Question 314075: What's 7x^4-9x^2+8x+9 divided by x^2+6?
Click here to see answer by Fombitz(13828)

Question 314165: x^2+14x+48/x+6
Click here to see answer by Fombitz(13828)

Question 314181: Harry has $4000 invested in two savings accounts. One account earns 6% interest per year, and the other pays 7% per year. If his total interest for the year is $264, how much is invested at 7%?
Click here to see answer by Fombitz(13828)

Question 314323: Simplify completely? -7xy^2/28x^5y
Click here to see answer by rapaljer(4667)

Question 314266: 4/5+7/2x=13/2x-4/20
Click here to see answer by rfer(12654)

Question 314422: I could really use some help answering the following question. I have tried to figure it out and I may have figured out parts of it, but not sure how to do all of it. Any help would be much appreciated. Here is the problem:
8x^2 over x^2-9 multiplied by x^2 + 6x+9 over 16x^3
I think that x^2 -9 factors down to (x+3)(x-3) and x^2 +6+9 factors down to (x+3)(x+3). I am not sure what to do with 8x^2 and 16x^3. Thank you in advance for any help.
Tammy
Click here to see answer by stanbon(57285)

Question 314420: 12x^-10x over 6x^-11x+5x
Click here to see answer by rapaljer(4667)

Question 314362: Simplify completely. x-2/8x^2-32=
Click here to see answer by Fombitz(13828)

Question 314507: How do I simplify d+7/d^2-49?
Click here to see answer by Fombitz(13828)

Question 313378: (2x + 5)^2
Click here to see answer by eshomali(33)

Question 314357: Which numbers cannot be used in place of the variable in the rational expression?
3x/x^2-49
Click here to see answer by Fombitz(13828)

Question 314578: x squared minus 5x-14=0
what is the solution set { }
Click here to see answer by texttutoring(324)

Question 314577: x squared minus 5x-14=0
Click here to see answer by texttutoring(324)

Question 314403: Multiply. 8x^2/x^2 * x^2+6x+9/16x^3=
Divide. 3y+12/8y^3 divided by 9y+36/16y^3
Click here to see answer by Fombitz(13828)

Question 314633: factor completely
12y^3 -15y^2 +3y
Click here to see answer by Fombitz(13828)

Question 314633: factor completely
12y^3 -15y^2 +3y
Click here to see answer by rapaljer(4667)

Question 314721: I would appreciate if someone could help me simplify this

a. 1/4
b. (x^2)(x+5)^2/4
c. 1/4x

Click here to see answer by Edwin McCravy(8893)

Question 314812: list all numbers for which the rational expression is undefined.
x^2-5x-36 / x*2-16
a. -9,4
b. -9
c, -4,9
d, -4,4 Is the answer c? This is what i got, because my fraction has a 0 numerator.
Click here to see answer by malaydassharma(59)

Question 314742: find the sum,enter in descending order.
(x^7)+(4x^7+3)
Click here to see answer by Fombitz(13828)

Question 314901: I have two questions. solve the equation.
1/x+7 + 5/x+6 = -1/x^2+13x+42. The second one is 9/y+2 - 3/y-2 = 12/y^2-4.
Thanks.
Click here to see answer by Fombitz(13828)

Question 314948: I need to know how to state the excluded values for this radical expression;
2a-10
------
a squared -9
Click here to see answer by Fombitz(13828)

Question 314945: (r^2-5r+6)/(r^2-4)
Click here to see answer by Fombitz(13828)

Question 314939: I have two question. Divide and express the result in standard form 6-6i/8+2i. The second one is write the values to make the denominator zero, then solve the equation 18/x-6 + 2 = 6/x-6.
Thanks.
Click here to see answer by Fombitz(13828)

Question 314984: factor completely Show your work

25y^4-36

I do not know how to do this problem could someone please explain it to me?
Click here to see answer by solver91311(16872)

Question 314986: Factor by grouping If possible. Show your work

x^3-6x^2+5x-30

I do not know how to do this problem please could someone show me how?
Click here to see answer by solver91311(16872)

Question 314991: Factor completely Show your work.

-5x^3-15x^2+20x
Click here to see answer by checkley77(12569)

Question 314985: factor completely Show your work.
y^4-8y^2-9

I am lost on how to do this problem could someone please show me how to do this problem?
Click here to see answer by checkley77(12569)

Question 315049: 2/3(6x+3)=4x+2
Click here to see answer by Jstrasner(106)

Question 315052: Factor completely.
6x^2 + 8x + 2
I do not understand how to get this, but the answer in the back of the book is 2(3x + 1)(x +1)
Click here to see answer by Alan3354(30993)

Question 315052: Factor completely.
6x^2 + 8x + 2
I do not understand how to get this, but the answer in the back of the book is 2(3x + 1)(x +1)
Click here to see answer by rapaljer(4667)

Question 314983: Factor completely Show your work
x^5-11x^4+30x^3

I do not even know how to attempt to do this problem. Could someone please show me how to do it.
Click here to see answer by scott8148(6628)

Question 315023: Factor completely: 16x^3-48x^2+36x
Click here to see answer by scott8148(6628)

Question 315023: Factor completely: 16x^3-48x^2+36x
Click here to see answer by tutorcecilia(2152)

Question 315072: 3x^3+24x^2+48x
Click here to see answer by Alan3354(30993)

Question 315085: how do i factor x^2-5x-6 step by step
how do i factor x^2-x-20 step by step

Click here to see answer by unlockmath(1599)

Question 315164: I need help with rational expression below.
Find the least common multiple (LCM) of 5z^5 and 75z^6.
Click here to see answer by Fombitz(13828)

Question 315165: factor 18z+ 45 + z2
Click here to see answer by Fombitz(13828)

Question 315249: Maria bicycles 8km per hour faste than Praedup. In the same time it takes Praedup to bicycle 42 km, maria can bicycle 66km. How fast are each bicyclist traveling?
Click here to see answer by ankor@dixie-net.com(15646)

Question 315244: Please help me set up and solve this problem. The reciprocal of twice an integer added to the reciprocal of two more than twice the integer is 7/24. What is the integer?
Click here to see answer by malaydassharma(59)

Question 315256: (6/5) / (30/s)
Click here to see answer by checkley77(12569)

Question 315246: add
6/v+9 + 9/5v
Click here to see answer by checkley77(12569)

Question 315289: I've done this problem many times and gotten the wrong answer. Please help: (7)/(y^2-49)-(6)/(y^2-2y-35)
Click here to see answer by unlockmath(1599)

Question 315254: Simplify by removing factor of 1
6m^2+6m/42m^2+36m
Click here to see answer by user_dude2008(1861)

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, 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, 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