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

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

Question 133259: I need help trying to solve this. 6x-18/2x^2-5x+3* 4x^2+4x+1/ 6x+3
Click here to see answer by jim_thompson5910(28476)

Question 133276: Write a polynomial function of least degree that has real coefficients, the given zeros and a leading coefficient of 1
18. 1,-3,4
19. 2,2,-1,0

Click here to see answer by solver91311(16868)

Question 133285: Solve the equation
3x^4-11x^2-20=0
81x^4=16
4x^3-8x^2-x+2=0
Click here to see answer by vleith(2825)

Question 133344: Divide. Use synthetic division if possible
(8x^4+5x^3+4x^2-x+7)/(x+1)
(12x^3+31x^2-17x-6)/(x+3)
i need some major help with these 2 questions. i was given 110 questions, i need some help with these 2=/
Click here to see answer by jim_thompson5910(28476)

Question 133352: 64x^3+343
x^4+8x^2-9
these are the two polynomials im left with!
pleasee help!
thankss!
Click here to see answer by jim_thompson5910(28476)

Question 133358: Please help! I don't even know where to start.
divide (x^2-9y^2/7x^2-21y)/(x^2+3xy)
Thanks!
Click here to see answer by jim_thompson5910(28476)

Question 133360: x 8
--- = ----
x-1 x+2
2x -3 = -2
---- ----
x+1 x+1
Click here to see answer by Earlsdon(6287)

Question 133368: I used the problem provided to try to get the answer. I would like to know if this is correct using the synthetic division method.
(5x^2+34y+24)/ (y-2)
2 5 34 24
10 88
5 44 112 5y+44y+24 112/y+2
Click here to see answer by jim_thompson5910(28476)

Question 133384: Can you help me with this rational expression? Simplify by removing factors of 1,
5y-15/3-y
I am coming up with 5(y-3)/3-y
Click here to see answer by stanbon(57203)

Question 133402: solve for x: (c+d)x+(c-d)x=c^2
Click here to see answer by jim_thompson5910(28476)

Question 133408: Decompose into a partial fraction
6x^2-15x+16/x^3-3x^2+4x
I know to start I need to factor the denominator, but I'm not sure how to go about that.
Click here to see answer by stanbon(57203)

Question 133468: HOW DO YOU FIND THE LCD OF A RATIONAL EXPRESSION THAT USES ADDITION AND SUBTRACTION
Click here to see answer by solver91311(16868)

Question 133456: What are the steps to factoring a trinomial that has a coefficient in the first term? This is the problem that I've been having trouble with
Click here to see answer by jim_thompson5910(28476)

Question 133471: take -4+3a from 7a-a^2
Click here to see answer by checkley71(8403)

Question 133472: The sum of two numbers is 14 and the sum of their reciprocals is 7/24. Find the numbers.
Click here to see answer by checkley71(8403)

Question 133482: i dont understand how to do this. i was wondering if there is an easier way to try and figure out these problems, or a step-by-step guide on how to do each problem. Thank you!
Click here to see answer by solver91311(16868)

Question 133403: solve for V2
P1V1/T1=P2V2//T2
Click here to see answer by vleith(2825)

Question 133506: Subtract and simplify completely:
4y^2-x^2 over x-y subtract -3y^2 over y-x
Click here to see answer by solver91311(16868)

Question 133502: Simplify completely:

x^4-16 over x^2+4 divided by x^2-7x-18 over 3x^2-15x+18
Click here to see answer by checkley71(8403)

Question 133503: Find the LCD:

x^3 over x^2+8x+16 times 3x-10 over x^2+x-12
Click here to see answer by checkley71(8403)

Question 133476: 1. The cost, in millions of dollars, to remove x % of pollution in a lake
modeled by : C=6,000/200-2x
a. What is the cost to remove 75% of the pollutant?
b. What is the cost to remove 90 % of the pollutant?
c. What is the cost to remove 99% of the pollutant?
d. For what value is this equation undefined?
e. Do the answers to sections a–d match your expectations? Why or why not?

Click here to see answer by checkley71(8403)

Question 133539: (x-2)^2+x^2=10
Click here to see answer by edjones(7569)

Question 133533:

Graph p(x)= (-)x3 - (3)x2 + 4
Click here to see answer by checkley71(8403)

Question 133557: x2-7x-120=0

Click here to see answer by scott8148(6628)

Question 133561: Hello, this problem has me completely puzzled and I don't know where to begin, can you help me please.
The problem states: Computer sales in the United States have increased since 1992. The function can be used to approximate the number of computer sales during the years 1990-2000 where x is the number of years after 1990 and f(x) is the computer sales (in millions). Use the function to predict the number of computers sold in 2001. Round the answer to the nearest tenth of a million.
The Options for answers given are as follows:
12.1 million
18.6 million
16.7 million
20.596 million
Thanks in advance for your much needed help. Sharon
Click here to see answer by vleith(2825)

Question 133577:

solve for x: 15x^2-17x=18
Click here to see answer by checkley71(8403)

Question 133574: solve for x:

8 over 4x+4 = 2 over 3x+1
Click here to see answer by checkley71(8403)

Question 133527: 5x+30y
Click here to see answer by elima(1433)

Question 133584:
one of the factors of 6x^2+7x-10 is
Click here to see answer by checkley71(8403)

Question 133448:
(2+3i)+(-2-3i)
Click here to see answer by checkley71(8403)

Question 133599: Find a value for k that will make a perfect square. Describe the procedure that you used which requires algebra (this is not a trial and error).
Click here to see answer by solver91311(16868)

Question 133611: 2+3i/i
Click here to see answer by vleith(2825)

Question 133617: (1-2i)x+2-3i=5-4i+2x
Click here to see answer by stanbon(57203)

Question 133614: find the reciprocal and express in the form of a+bi: 2+5i
Click here to see answer by stanbon(57203)

Question 133704: how do you factor this problem: 6n^2 - 19n+ 10
thankyou very much.
Click here to see answer by jim_thompson5910(28476)

Question 133700: Jay flew an airplane 500km against the wind in the same time it took him to fly it 600km with the wind. The speed of the wind was 20km/h. What was the average speed of the airplane?
Click here to see answer by stanbon(57203)

Question 133755: If r(x)=2x^3-3x, find f(h+2).
Click here to see answer by Earlsdon(6287)

Question 133753: The reciprocal of 6 plus the reciprocal of 8 is the reciprocal of what number?
Click here to see answer by SoOoDumb(14)

Question 133750: Solve for G in the formula: L = (2C-G) / (2G)
Click here to see answer by solver91311(16868)

Question 133962: a2 – b2 = (a + b) (a – b)
a2 + b2 = (a + b) (?)

Click here to see answer by Earlsdon(6287)

Question 133976: What are the leading coefficient, the polynomial by degree and by the number of terms?
Click here to see answer by solver91311(16868)

Question 133994: . For f(x) = 6x – 7, find f(2).

Click here to see answer by snwbrdfrk(10)

Question 134004: NEED HELP!! What is the product of (x+7)(x^2+5x-9)
Click here to see answer by andishmonkeygirl(3)

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, 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