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

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

Question 52640: x3-1000
Click here to see answer by gsmani_iyer(180)

Question 52700: Polynomials
Instructions:
Add the polynomials and subtract the second polynomial from the first.
Please help me solve this polynomial:
Click here to see answer by funmath(2925)

Question 52728: -2(-3)(-4)(-5) =
Click here to see answer by antsinmypants(6)

Question 52812: (x^3-5x^2-x+4)+(2x^3+7x^2-2x)
Click here to see answer by funmath(2925)

Question 52718: Polynomials
Instructions:
Simplify.
Please help me with this polynomial:
Please help me with this other polynomial:

Click here to see answer by rchill(405)

Question 53255: (x^3-1)/(x^2+1) divided by (9x^2+9x+9)/(x^2-x). THis problem is giving me a real hard time. I cannot seem to factor the 9x^2+9x+9 to anything less that 9(x^2+x+1) which does not cancel anything out. Am I doing something wrong?
Click here to see answer by funmath(2925)

Question 53254: Can someone help me with this problem?
I need to divide:

m^8n^6/m^4n^2
Thank you,
Ashley
Click here to see answer by funmath(2925)

Question 53181: The degree three polynomial f(x) with real coefficients and leading coefficient 1, has -3 and 4i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients.
Possible solutions:
a.) f(x)=(x+3)(x^2+16)
b.) f(x)=(x+3)(x^2+8x+16)
c.) f(x)=(x+3)(x^2-8x+16)
d.) f(x)=(x-3)(x^2+16)

Click here to see answer by venugopalramana(3286)

Question 53385: factoring (not using the quadratic equation!!)
x^2-20x+100

6a^2-11a+3

3a^2= 7a+6
x^2=2x+63

Click here to see answer by Nate(3500)

Question 53227: Text-Book is "Beginning Algebra" with applications by Aufmann/Barker/Lockwood
Factoring polynomials of the Form ax2 + bx + c ???
how do I solve these problems?
15.) 6t cubed - 11t + 4,
17.) 8x cubed + 33x + 4,
19.) 3b cubed - 16b + 16,
21.) 2z cubed - 27z - 14,
23.) 3p cubed + 22p - 16,
25.) 6x cubed - 17x + 12,

Click here to see answer by rapaljer(4667)

Question 53482: How do u do monomials? here is some examples of an monomials.......(2e over 3)with the exponet 2 out side the ().
Click here to see answer by stanbon(57377)

Question 53491: I need help with this problem. Can someone write out the steps if possible. Thank you.
Factor the polynomial into two polynomials of lesser degrees given one of its factors:
((x^3+2x^2-5x-6; factor: x-2))))))))))
Click here to see answer by tutorcecilia(2152)

Question 53592: I am having a hard time with this question.
Use the geometric sequence of numbers 1, 2, 4, 8,…to find the following:
a) What is r, the ratio between 2 consecutive terms?
b) Using the formula for the nth term of a geometric sequence, what is the 24th term?
c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
Thanks for your time.
Click here to see answer by stanbon(57377)

Question 53552: Could someone please show me how to worl this problem. I have figured it but cannot come up with the right answer. Factor out the GCF of 3x5 + 7x4. The 5 and 4 are exponents. Thank you.
Click here to see answer by rchill(405)

Question 53553: Could someone help me with this problem: Factor out the GCF of 9pq + 18p.
Thanks Alot.
Click here to see answer by rchill(405)

Question 53554: Please help. I cant get this problem right. It says to factor out the GCF of . The 4, 3, and 2 are exponents.
Click here to see answer by rchill(405)

Question 53555: Help. IM not sure how to work this one. Factor out the GCF . The numbers 4 and 2 are exponents.
Click here to see answer by rchill(405)

Question 53551: Could someone help me figure out this problem: The question is to find the GCF of 11p3 and 5p2. Note the 3 and 2 are exponents. Thanks to all.
Click here to see answer by checkley71(8403)

Question 53657: Can you help me simplify (6x^-2y^5)^3?
Click here to see answer by stanbon(57377)

Question 53701: Here is the question:
Area of a sail:
A triangular sail has an area of x2 + 5x + 6 square meters and a height of x + 3 meters. Find the length of the sails base.
Click here to see answer by aaaaaaaa(138)

Question 53704: I'm attempting to solve:
4/5 x - 2/3 = 3x + 1 /2
I came up with an answer of -5/3, but it doesn't check properly.
I came up with - 5/3 by multiplying both sides by 30, that left me with 24x - 20 = 45x + 15, subtracted 20 from sides and then subtracted 45x from both sides and was left with -21x = 35. Divided both sides by -21 and got - 35/21, which simplifies to - 5/3. However, when I attempt to check the problem by plugging in that answer it is incorrect.
Any help here would be great!
Karen
Click here to see answer by stanbon(57377)

Question 53590: I am having a hard time answering this problem. It is a 3 part question. And all of it is confusing me.
A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Brown came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Brown insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square. Continue this until all 64 squares are covered with pennies.” As he’d been saving pennies for over 25 years, Mr. Brown did not consider this much of an award, but soon realized he made a miscalculation on the amount of money involved.
a) How much money expressed in dollars would Mr. Brown have to put on the 32nd square?
b) How much money expressed in dollars would the traveling salesman receive in total if the checkerboard only had 32 squares?
c) Calculate the amount of money necessary to fill the whole checkerboard (64 squares). How money expressed in dollars would the farmer need to give the salesman?
Thanks for your time.
Click here to see answer by stanbon(57377)

Question 50075: a polinomial expressed as a sum or difference of two terms is what definition
Click here to see answer by stanbon(57377)

Question 53655: what is the process of multiplying out polynomials? any help will be greatly appreciated!!!!
Click here to see answer by stanbon(57377)

Question 53679: do not understand how to do this
Click here to see answer by funmath(2925)

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(57377)

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(15657)

Question 53820: simplify first and then solve the equation: -x-(-10)=5
Click here to see answer by stanbon(57377)

Question 53819: state the inverse operation: add -6
Click here to see answer by stanbon(57377)

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(1277)

Question 53804: Please help me solve this polynomial: .
Please help me solve this other polynomial: .
Click here to see answer by funmath(2925)

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(2925)

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(57377)

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(2925)

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(57377)

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(57377)

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(57377)

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(1277)

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