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

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

Question 53696: Here is the question:
Tropical pools sells an aboveground model for p dollars each. The monthly revenue form the sale of this model is given by
R=-0.08p2 + 300p.
Revune is the porduct of the price p and the demand (quantity sold)
a) Factor out the price on the right hand side of the formula
b) what is an wzpression for the monthly demand?
c)What is the monthly demand for this pool whent he price is $3000
Dear Tutor, I do not even know where to start on this question,so could you please help me.I will wait for your answer. Thanks The textbook is from the University of phoenix, special edition seris.
Click here to see answer by stanbon(75887)

Question 53710: This question is from the University of Phoenix math book:
Decreasing cube. Each of the three dimensions of a cube with a volume of y3 cubic centimeters is decreased by a whole number of centimeters. Of the new volume is y3 - 13y2 + 54Y - 72 cubic centimeters and the new width is y - 6 centimeters, then what are the new length and height?
Click here to see answer by ankor@dixie-net.com(22740)

Question 53820: simplify first and then solve the equation: -x-(-10)=5
Click here to see answer by stanbon(75887)

Question 53819: state the inverse operation: add -6
Click here to see answer by stanbon(75887)

Question 53834: can u show me how to do this problem? (2x^2+5xy+4y^2)+(-xy-6x^2+2y^2)
Click here to see answer by checkley71(8403)

Question 53834: can u show me how to do this problem? (2x^2+5xy+4y^2)+(-xy-6x^2+2y^2)
Click here to see answer by AnlytcPhil(1806)

Question 53804: Please help me solve this polynomial: .
Please help me solve this other polynomial: .
Click here to see answer by funmath(2933)

Question 53922: (-2x^2+9x-7y)-(2x^2+8y) Can someone help me simplify. This is what I did:
-2x^2+9x-7y-2x^2-8y
-4x^2+9x-15y
Can you tell me if it is right, or where I went wrong....Thanks.
Click here to see answer by funmath(2933)

Question 53983: How do multiply using negative exponents?
Click here to see answer by checkley71(8403)

Question 53990: 3/4 + 5/6
__________ = ? I think I should use 24 as my least common denominator?
3/8 - 5/6 I would appreciate any help, thank you!
Click here to see answer by stanbon(75887)

Question 53985: what is the degree of the following polynomial?
4x^6y^2-9x^3+2y-5
Click here to see answer by rchill(405)

Question 54002: -2a(a^2b^2+ab-4)=
Click here to see answer by funmath(2933)

Question 54012: Simplify. Write answer with positive exponenets only.
(x^2)^-3(x^-2)/ (x^2)^-4.
I came up with x^16 but I don't think it is right and I have no idea of how to check my answer.
Click here to see answer by stanbon(75887)

Question 54014: Please help me with this word problem. I've been trying for hours.
The U.S. population in 1990 was approximately 250 million, and the average growth rae for the past 30 years give a doubling time of 66 years. The formula for the U.S. then becomes P(in millions)=250 * 2^(y=1990)/66
What will the population of the U.S. be in 2025 if this growth rate continues?
Click here to see answer by stanbon(75887)

Question 54017: Another word problem.
If there are 6 * 10^9 people on the Earth and there is enough freshwater to provide each person with 8.79 * 10^5L, how much freshwater is on the Earth?
Click here to see answer by stanbon(75887)

Question 54007: The cost in dollars of manufacturing w wing nuts is given by the expression 0.07w + 13.3. Find the cost when 375 wing nuts are made. What is the the average cost to manufacture one wing nut?
Click here to see answer by Nate(3500)

Question 54050: Please Solve Rational Expression
1/(x+1) + 1/2 = 2/(x^2 - 1)
THANK YOU!
Click here to see answer by anjulasahay(30)

Question 53808: I am supposed to find the imaginary solution to the following equation and check my answer. 9x^2-6x+4=0 So far I have:
x=(6+/- sqrt(6)^2-4(9)(4))/18
x=(6+/- sqrt-108)/18
x= (6+/- 6i sqrt3)/18
x=(1+/- i sqrt3)/3
This does not check where did I go wrong?

Click here to see answer by anjulasahay(30)

Question 54062: need help on factoring this polynominal 4s+6st-14st^2
Click here to see answer by AnlytcPhil(1806)

Question 54069: Please help me with this problem:
The degree three polynomial f(x) with real coefficients and leading coefficient 1, has 4 and 3 + i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients.
Click here to see answer by stanbon(75887)

Question 54076: Write expression in simplest form.(the ^ shows that the following number is a power: 4r^2 = 4r squared)
4r^2-25s^2 /
2r^2+3rs-20s^2
Click here to see answer by funmath(2933)

Question 54088: Section 3.4
Just need to know if I did this right.
62.
(m^2-5mn+3n^2)(m^2+4mn-2n^2)
my answer is m^4+1m^3n-17m^2n^2+22mn^3-6n^4
Click here to see answer by funmath(2933)

Question 54096: I need help learning the steps to this problem.
For the following polynomial find f(t-2)
((( f(x)=-x^2+4x=6 )))
Click here to see answer by stanbon(75887)

Question 54095: I need help learning the steps to this problem.
Completely factor the polynomial
((( x^3-2x^2-5x+6 ))) given that x-1 is a factor
Click here to see answer by stanbon(75887)

Question 53846: Hi guys! Some of you may already know me as aaaaaaaa, and I'm asking a question:
Solve the equation:

j and c are in N (natural numbers).
I know that , but the question is: Is there a way to solve this without trial-and-error and find out that g=50, c=7?
Click here to see answer by AnlytcPhil(1806)

Question 54070: Please help me with this problem:
The figure shows the graph of the polynomial function y=f(x). For which of the values k = 0, 1, 2, or 3 will the equation f(x) = k have complex roots?
Click here to see answer by jake_6233(74)

Question 54139: I received these problems from my instructor which I can't find in the text:
1.) 2/(3x) + 3/(2x) =
2.) 1/(x + 1) + 1/(x-1) =
3.) x/2 + 2/x =
Can someone help me with these? I've even tried using the equation calculator but tt comes up with a syntax error. I haven't had math in a while so any explanations of the rule will be helpful as well.
Thanks
Click here to see answer by funmath(2933)

Question 54288: I can't seem to find this anywhere in the textbook...
I need to find out how to factor of these polynomials...please help!
x^2 - 5x - 6
x^2 - x - 20
Click here to see answer by stanbon(75887)

Question 54263: i need help solving this equation for y: 5{-7[6y+9(7-y)-5]+y} = 6(y + 9)
i tried doing the opposite of order of operations. i've tried distubuting everything. if u could help me, i would appreciate it a lot. thank you. :) -Guadalupe
Click here to see answer by stanbon(75887)

Question 54250: how do you solve 30-n=20+3(n+2)
Click here to see answer by Cintchr(481)

Question 54304: m=2(x+n)

so far i did this:
m=2(x+n)
m=2x+2n
-2n -2n
---------
m-2n=2x
---- ---
2 2
m???= x
can you divide 2n by 2?
Click here to see answer by jainenderkapoor(61)

Question 54286: 2 divided by 2/X + 2/Y is problem one...i have an answer guide so i know the answer i just don't know how to do it on my own
2x^2/3y * y^3/8x is problem two... this too i have the answer to but i don't know how to do it myself
Click here to see answer by jainenderkapoor(61)

Question 52996: given that (3x-a)(x-2)(x-7)= 3x^3-32^2+18x-70 determine the value of a
Click here to see answer by venugopalramana(3286)

Question 54255: help me solve (2x-5)squared=4x(x-2)+61
Click here to see answer by jainenderkapoor(61)

Question 54205: Express as a polynomial: (x+a)(x^2-ax/x)
Click here to see answer by funmath(2933)

Question 54397: HELP!!
Write the expression in simplest form:
4r^2-25s^2 over 2r^2+3rs-20s^2
Thank you so much!!
Click here to see answer by Nate(3500)

Question 54397: HELP!!
Write the expression in simplest form:
4r^2-25s^2 over 2r^2+3rs-20s^2
Thank you so much!!
Click here to see answer by funmath(2933)

Question 54411: PLEASE HELP ME WITH THIS PROBLEM :
Find a polynominal with leading coefficient 1 and degree 3 that has -1, 1, and 3 as roots.

Click here to see answer by Nate(3500)

Question 54411: PLEASE HELP ME WITH THIS PROBLEM :
Find a polynominal with leading coefficient 1 and degree 3 that has -1, 1, and 3 as roots.

Click here to see answer by funmath(2933)

Question 54426: I am having a hard time dividing this rational expression: PLEASE HELP!
6p-18 over 9p divided by 3p-9 over p^2+2p
Thanks in advance!
ac
Click here to see answer by funmath(2933)

Question 54457: I need help please. if x=yz,find the value for x given that y=2 and z=5.
Click here to see answer by tutorcecilia(2152)

Question 54470: PLEASE HELP ME WITH THIS PROBLEM;
fIND ALL ROOTS OF THE POLYNOMIAL X^3 - X^2 + 16X - 16
Click here to see answer by Edwin McCravy(20054)

Question 54472: PLEASE HELP ME WITH THIS PROBLEM:
Find the polynominal f(X) of degree three that has zeroes at 1, 2, and 4 such that f(0)=-16.
Click here to see answer by Edwin McCravy(20054)

Question 54509: three quarters of a number is 21. find the number
Click here to see answer by rchill(405)

Question 54509: three quarters of a number is 21. find the number
Click here to see answer by josmiceli(19441)

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, 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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, 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