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

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

Question 141539: Use synthetic division to perform the division
(2x^4 - 3x^3 + 2x - 5) divided by (3x + 2)
Click here to see answer by Edwin McCravy(8909)

Question 141550: Perform the indicated division by synthetic division
(x^6 + 2x^2 - 6) divided by (x - 2)
Click here to see answer by Edwin McCravy(8909)

Question 141587: Math tutors I don't know how to do this..thank you
Find an equation of variation where y varies jointly as x and z and inversely as the square of w and y=20 when x=-0.5, z=4, and w=5.

Click here to see answer by stanbon(57387)

Question 141588: The current I in electrical conductor varies inversely as the resistance R of the conductor. Suppose I is 0.2 amperes when the resistance is
200 ohms. Find the current when the resistance is 250 ohms.
Math Tutors I have no idea how to do this problem...thank you

Click here to see answer by scott8148(6628)

Question 141564: How do I solve:
A 50 gallon barrel of milk is 6% butterfat. How much skim milk (no butterfat) should be mixed to make milk that is 3% butterfat?
Click here to see answer by scott8148(6628)

Question 141560: How do I solve?
The reciprocal of 4 plus the reciprocal of 5 is the reciprocal of what number?
Click here to see answer by edjones(7569)

Question 141586: solve x+2/x-6 less than or equal to 4
Tutors can you help me with this problem?
Click here to see answer by edjones(7569)

Question 141585: Find a rational function that has x=4 and x=3 as vertical
Asymptotes, and (-2,0) as an x-intercept Can someone help me?*

Click here to see answer by edjones(7569)

Question 141569: problem: The two numbers whose sum is -10 and product is 24 are?
Click here to see answer by oscargut(891)

Question 141581: Tutors I have the following problem: Use substitution to determine that -4,2,1are zeros of f(x)=x^3+3x^2-4x
Thank you
Click here to see answer by Fombitz(13828)

Question 141580: *Tutor this is from my textbook Mccullough, pg. 332-334 Find the zeros of the polynomial function and state the multiplicity of each.f(x)=x (x+3)^4(2x+3)^2
Click here to see answer by Fombitz(13828)

Question 141674: Find the Greatest Common Factor of the first 2 terms and the Greatest Common Factor of the last 2 terms for each polynomial.

Click here to see answer by stanbon(57387)

Question 141694: Please help me solve this equation: (((-y^2+2y+8=0)))
Click here to see answer by stanbon(57387)

Question 141715: Can you help me please****
Use the intermediate value theorem to determine whether g(x)=4x^3-3x+3 has a zero between -2 and -1
Click here to see answer by stanbon(57387)

Question 141734: Could you simplify these two problems?
7 over x+1 plus 3 over x-4
8 over x+4 plus 3 over 4+x
Thanks,
Carlos
Click here to see answer by stanbon(57387)

Question 141736: Tutor can you help me please**
Determine the horizontal asymptotes of:
(a) f(x)=2x^2+3/4x^2+5
(b) g(x)=x+4/x^4+2x^4
(c) h(x)=x^5+2/x^3-2
Click here to see answer by stanbon(57387)

Question 141738: Please help me with this math problem*
Find the domain of
f(x)=sqrt. sign (these numbers are inside the sqrt symbol 22/x^2-4x+4
Click here to see answer by stanbon(57387)

Question 141763: Jonathan and Tim started Running toward each other. Jonathan at 16 yards per minute and Tim at 18 yards per minute. If they were 1,360 yards apart when they started running, how long did it take for them to collide?
Click here to see answer by ankor@dixie-net.com(15660)

Question 141768: Solve by factoring:
1 - 16x 2nd power = 0
Click here to see answer by scott8148(6628)

Question 141767: solve by factoring:
x 2nd power - 13x = -36
Click here to see answer by scott8148(6628)

Question 141834: I am trying to factor this binomial completely can you please help? x to the third - 1000
Click here to see answer by ankor@dixie-net.com(15660)

Question 141775: Solve:
x -2/5 + x -7/3 = -1
Click here to see answer by checkley77(12569)

Question 141880: how do I factor this polynomial? Thank you for your help :)

64x to the second -81.
Click here to see answer by Fombitz(13828)

Question 141908: I am trying to figure out how to solve this problem and get the wingspan of my chosen bird. this is the equation:
L = (2.43) W^0.3326
L= (2.43) (0.35) ^0.3326
L= (2.43)
L=

Click here to see answer by checkley77(12569)

Question 142048: I have completely no idea on how to go even one step into solving this problem. Please, help me!
Simplify:

Many thanks in advance!
Click here to see answer by stanbon(57387)

Question 142049: I need help on this question, right here:
Simplify and find all restrictions:

Click here to see answer by jim_thompson5910(28598)

Question 142147: I don't really understand this please help me multiply this --> 3x(-x+5)
I dont get this problem 3x^3(x^3+5)
Multiply--> (-2x+1)(x+5)
Factor: y^2+8y
Click here to see answer by nabla(475)

Question 142158: Solve by factoring.
4x 2nd power - 1 = 0
Click here to see answer by stanbon(57387)

Question 142159: Solve by
completing the square.
4x + 2 = x to 2nd power
Click here to see answer by stanbon(57387)

Question 142154: If two marbles are drawn randomly from the jar in a jar with 13 black and 12 red marbles, what is the probability that the first is red and the second is black if the the marbles are drawn (a) with replacement? (b) without replacement
Click here to see answer by stanbon(57387)

Question 142153: A jar contains 13 black and 12 red marbles. If one marble is drawn at random, what is the probability that it is black?
Click here to see answer by stanbon(57387)

Question 142136: Tutor , please I need your help***
use synthetic division to find the quotient and remainder
(4x^3-6x+5)/(x-3)
Thank you very much*****
Click here to see answer by stanbon(57387)

Question 142157: At 10 a.m. Eve started out at 55 kilometers per hour to catch Adrienne, who had a one hour head start. If Eve was still 100 kilometers behind at 6 p.m. how fast was Adrienne driving?
Click here to see answer by ankor@dixie-net.com(15660)

Question 142171: Factor the following 3z^2-10z-25
Click here to see answer by scott8148(6628)

Question 142171: Factor the following 3z^2-10z-25
Click here to see answer by jim_thompson5910(28598)

Question 142206: Factor the expression completely: 2x^2-4x
Click here to see answer by jim_thompson5910(28598)

Question 142224:
C= 6000
_______
200 - 2x
The cost, in millions of dollars, to remove x% of pollution in a lake modeled by the formula above.
What is the cost to remove 75% of the pollutant?
Click here to see answer by stanbon(57387)

Question 142244: I am haveing trouble with multiplying binomials using the FOIL method and useing squares, is there an easyer way to do this and how do I do squares?
Click here to see answer by nabla(475)

Question 142156: Solve by substitution or elimination and circle the method you have chosen.
(2x + 3y = -11
(4x - 2y = 2
Click here to see answer by MathLover1(6638)

Question 142349: tring to help son with following problem. ex: (x2-14x+49)/(x-7) please show me a solution break down so i may help him understand. it's been 35 years since i've done this.
Thank you Ted Uzonyi
Click here to see answer by stanbon(57387)

Question 142369: still having problems helping my son, please help. the problem is 3/2d2 + 4/3d
the examples in the book are not very clear to myself or my son
Thankyou theodore uzonyi
Click here to see answer by ptaylor(2048)

Question 142418: I am trying to figure these problems. I have to factor the polynomials??

1. a=x^2+8x+15
2. a=x^2+8x+16
3. a=x^2+10x+16
4. a=x^2-9x
Please help me!!!
Click here to see answer by checkley77(12569)

Question 142431: I need some help on these problems. I have to put them into factored form.
1. x^2+2x+9x+18
2. x^2+4x
3. x^2+2x+48
4. x^2+2x+7x+14
5. x^2+x-12
6. x^2+12x+27
Thank You!!
Click here to see answer by checkley77(12569)

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