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

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

Question 288175: Need help adding and subtracting (a-1)/(a+1)+(a+1)/(a-1) do they cancel each other out? and (b)/(b-1)+(2b)/(b^2-1)????? Thank you in advance!
Click here to see answer by checkley77(12569)

Question 288128: Factor –32x3y – 48x4y3.
A. 16x3y(–2 – 3xy2)
B. 4xy(–8x2 – 12x3y2)
C. –16xy(2x2 + 3x2y2)
D. –16x3y(2 + 3xy2)

Click here to see answer by richwmiller(9143)

Question 288189: How do i factor
Click here to see answer by richwmiller(9143)

Question 288189: How do i factor
Click here to see answer by AnlytcPhil(1277)

Question 288193: Factor x^2+4
Click here to see answer by richwmiller(9143)

Question 288213: Simplify
(x)/(x^2-xy)-(y)/(xy-x^2)
Click here to see answer by mananth(12270)

Question 288243: The Boxerville city council must pay three companies to have street lamps put on the 4th Street Bridge. Company M will make the lamps for $25 per lamp, plus $125 fee. Company S will install the lamps for $40 per lamp, plus $100 fee. Company P will paintthe lamps for $15 per lamp, plus a $50 fee.
Using n as the number of lamps, write a polynomial for each company that tells you how much the company will charge.
Company M? = 25n + 125?
Company S? = 40n + 100?
Company P? = 15n + 50?
find the sum of the three polynomials? = 80n + 275?
Use the sum you found to write an inequality that shows that the city council can pay no more than $3,500 total. 80n - 3225
How many street lamps can they put on the bridge for $3,500?
How many lamps can they put on the bridge for 4,300?

Click here to see answer by stanbon(57361)

Question 288294: Give the prime factorization of 450.
A. 9 • 52 • 2
B. 32 • 52 • 2
C. 3 • 5 • 2
D. 15 • 5 • 3 • 2

Click here to see answer by bcampbell23669(14)

Question 288294: Give the prime factorization of 450.
A. 9 • 52 • 2
B. 32 • 52 • 2
C. 3 • 5 • 2
D. 15 • 5 • 3 • 2

Click here to see answer by dabanfield(803)

Question 288344: Problem is:

I've tried several ways, but can't come up with an answer that fits in the slot for "m". Is this unsolvable?
My most current attempt at a solution:
by adding to the left side and subtracting from the left and adding it to the right side.
This equals
I then tried multiplying each side by (m-2) which brought me to

and broken down even further, this comes to

which breaks down to
and with left to fend for himself.
all that makes
so I added the -8 to each side and got

Now I'm not sure what to do (if I've even been doing it right so far)
Do I divide each side by 2 to break up the or am I already too far gone?
I could try moving the 9 back over to the left side and trying a quadratic formula, but these numbers just don't look right together. The last three problems were unsolvable, which leaves me questioning whether or not this one is, too, and if not, was I wrong on all of the other ones??
Any suggestions on what I should change or how to fix whatever I'm doing wrong?
Any help is appreciated, thank you!
Click here to see answer by Alan3354(30993)

Question 288351: Factor 50y^3+20y^2+2y
Click here to see answer by richwmiller(9143)

Question 288349: (4d+7)/3-5d-5/7=6
Click here to see answer by Alan3354(30993)

Question 288386: Can't find any lesson that explains solving equations containing a rational exponent on the variable.
Here's my problem: (there are lessons for more in-depth problems, but I need to learn the simple stuff before moving on to the more complicated stuff)
(x to the 4/3 power=81)
I used

which made

and then divided by 3, so

Does this look right?
I didn't think I was supposed to have any power left afterwards.
Click here to see answer by Alan3354(30993)

Question 288376: I need to solve this radical equation using the power principle.
Problem:
I can work the other problems pretty easily, but they all have numbers before the x (ie , so I can understand them a little better.
This one is throwing me for a loop.
I tried,

and got

which gave me

so I moved the to the right side and came up with

then i subtracted the 4 from the right and moved it to the left to isolate my final radical and got

which came to
and then i squared each side again

and got
which is
Since there is no or a simple or something, I can't seem to figure out how I would do this problem. Either I messed up the steps somewhere or this problem is unsolvable. I'm pretty sure I just confused a step or missed one all together.
Please help? This is due on Tuesday and I still have another 34 problems (out of 118) left. Almost done!!
Click here to see answer by ankor@dixie-net.com(15653)

Question 288406: whats 3 consecutive integers such that the sum of the squares of the smaller two is equal to the square of the largest

Click here to see answer by jim_thompson5910(28595)

Question 288410: whats the greatest common factor of 64a^10b^2,88a^6b^10
Click here to see answer by user_dude2008(1861)

Question 288410: whats the greatest common factor of 64a^10b^2,88a^6b^10
Click here to see answer by checkley77(12569)

Question 288419: x² +7x+10 find the greatest common factor (polynomial)
Click here to see answer by richwmiller(9143)

Question 288435: the question is find the quotient using long division
the problem is 3x^3+2x^2-19x+1
--------------
x-2
i tried working the problem and i keep getting the answer 4x+6+29
---
x-4
Click here to see answer by richwmiller(9143)

Question 288455: i need help on this problem: x2+2x+x+2
Click here to see answer by Alan3354(30993)

Question 288453: 4a^3+a^2-3a+7 / a+1 Reduce to lowest terms. I keep coming up with 4a^2+a-3+7/a but it is not one of my choices. Help!!
Click here to see answer by Alan3354(30993)

Question 288457: f(x)= -(x+8)^2-3
I need to find the vertex
line of symmetry is x=
the maximum/minimum value of f(x)is
the value f(-8)=-3is minumum or maximum.
Click here to see answer by richwmiller(9143)

Question 288495: x2-2x-13=0
Click here to see answer by jim_thompson5910(28595)

Question 288479: Simplify the rational expression:
x to the 3rd power - 1
__________________________
1-x
Click here to see answer by ankor@dixie-net.com(15653)

Question 288538: x²-12x -28 =
Click here to see answer by jaydducote(11)

Question 288552: Solve the following equation using the quadratic formula 2x² -7 x-2=
Click here to see answer by mananth(12270)

Question 288443: (x)/(x^2+6x+9) + (3)/(x^2-9)
Click here to see answer by mananth(12270)

Question 288514: can you show me how to simplify 35xy over 40x
Click here to see answer by mananth(12270)

Question 288562: Compute the discriminate. Then determine the number and type of solutions for the given equation
4x² -2x+6=0
Click here to see answer by texttutoring(324)

Question 288561: Compute the discriminate. Then determine the number and type of solutions for the given equation
9 x² -7x+5 =0
Click here to see answer by texttutoring(324)

Question 288564: Solve the equation by the method 2x² -5x=3
Click here to see answer by texttutoring(324)

Question 288668: Will you factor the GCF out of:
12x(9x+11)+(9x+11)?
Click here to see answer by brucewill(101)

Question 288683: Simplify x + 3x by adding like terms.
Click here to see answer by jim_thompson5910(28595)

Question 288690: If Toni must solve the equation 9x + 27 = 12x. If she substracts 9x from the left of the equation, what should Toni write on the right side of the equation?
Click here to see answer by jim_thompson5910(28595)

Question 288691: Barbie and Ken planned to build a square house that was x feet on each side. Then they revised the plan so that one side was lengthened by 20 feet and the other side was shortened by 6 feet. Find a polynomial function A(x) that gives the are of the revised house in square feet.
Click here to see answer by texttutoring(324)

Question 288593: If f(x) = x^2 + 1 and g(x) = x - 2, find[f degrees g ](x)
a. x^2 - 4x + 5
b. x^2 - 1
c. x^2 - 3
d. x^3 - 2x^2 + x - 2
Click here to see answer by user_dude2008(1861)

Question 288761: Can you help me solve and show solution to this problem, it is supposed to be an equation with two solutions? (x/3) = (4/x+1)Thank you
Click here to see answer by texttutoring(324)

Question 288709: My issue if finding a LCM to this equation. My teacher didn't explain it very well, however, I think AFTER obtaining the LCM I understand how to solve the equation. This particular problem is:
7/(x-3) - (2/7) = -10/(3x-9)
Click here to see answer by checkley77(12569)

Question 288828: Find a third degree polynomial with zeros 5 and 3i
Click here to see answer by stanbon(57361)

Question 288831: N(t)=-3t^3+23t^2+8t
a)Rewrite the formula by factoring the right-hand side completely.
b)Use the factored version of the formula to find N(3).
c)Use the accompanying graph to estimate the time at which the workers are most efficient.
d)Use the accompanying graph to estimate the maximum number of components assembled per hour during an 8-hour shift.
Click here to see answer by stanbon(57361)

Question 288832: Suppose that a polynomial function of degree 5 with rational coefficients has the numbers , , as zeros. Find other zeros.

I am not positive what Degree 5 means, and although I could find the zeros through trial and error, I know there is some process a bit easier, could you show me?
Click here to see answer by richwmiller(9143)

Question 288842: I'm in the 8th gread, I have star testing coming up in two weeks and I don't really understand some of the material. My math teacher tells us to study the book, but I don't understand what she means by study it. Do you have any good ways to study a math book? Thanks a bunch.
~Confused
Click here to see answer by richwmiller(9143)

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