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

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

Question 58397: factor:
x squared +10x+8
Click here to see answer by josmiceli(9817)

Question 58435: Can anybody help me Please
Find a polynomial with zeros of 2-3i and -3+5i and multiply it out
Click here to see answer by venugopalramana(3286)

Question 58436: Find all roots of f(x)=2x^4-17x^3+49x2-23x-91, given that 7/2 and -1 are roots

Thank you
Click here to see answer by Nate(3500)

Question 58464: a rocket is fired upward with an inital speed of 1960 m/s. after how many minutes does it hit the ground?
Click here to see answer by 6894(1)

Question 58464: a rocket is fired upward with an inital speed of 1960 m/s. after how many minutes does it hit the ground?
Click here to see answer by Edwin McCravy(8999)

Question 58463: a ball is thrown upward with an initial speed of 24.5 m/s. When is it 19.6 m high? (two answers)
Click here to see answer by Edwin McCravy(8999)

Question 58477: Could someone check my work on this problem:
x/(x-2)-2/x
x^2-2(x-2)/(x-2)x
x^2+(-2x-2(-2))/(x-2)x
x^2 + (-2x + 2 * 2)/(x - 2)x
x^2 + (-2x + 4)/(x-2)x
x^2 - 2x + 4/(x-2)x
Click here to see answer by stanbon(57962)

Question 58479: x^3+3x^2-4x-12
______________
x^2+x-6
Click here to see answer by stanbon(57962)

Question 58559: Write (2x - 3) /(2x - 1) - 3x as a rational expression.
Click here to see answer by funmath(2925)

Question 58553: directions: multiply
(y+2x)(x3-2y3+3xy2+x2y)
the 3 after x, y, and the 2 after y and 2 after x are exponets.
Click here to see answer by funmath(2925)

Question 58596: The directions are this but the instructor never went over it.
Find the LCD for the given rational expression, and convert each rational expression into an equivalent rational expression with the LCD as the denominator.
70. 3/4b^2-9 , 2b/2b+3 , -5/2b^2-3b

Click here to see answer by funmath(2925)

Question 58593: 76. (x^3-1)/(x^2+1) divided by (9x^2+9x+9)/(x^2-x)
I do not know where to start on this problem let alone how to do it.
Click here to see answer by funmath(2925)

Question 58483: Hello, wondering if someone can check my work on the following:
(1/y + 1/3) / (1/y - 1/3)
(3 + y)/(y3) / (3 + y)(-1) /(y3)
(y + 3) / (3y) / (3 - y) / (3y)
(y+3/3y) / (-y+3/3y)
(y+3/3y) * (3y/-y + 3)
(y+3)(3y)/(3y)(-y+3)
(y+3)3y/3y (-y+3)
3 (y+3)y/3y(-y + 3)
y+3/-y-3

Click here to see answer by funmath(2925)

Question 58695: Factor the polynomial 3x^2-14x-5
Click here to see answer by venugopalramana(3286)

Question 58712: given f(x)=2x^3-x^2+3x+4, find (2-i) using synthetic division

thank u
Click here to see answer by stanbon(57962)

Question 58734: Find a polynomial with roots of 5,-8 and 2 such that f(4)=-9

Thanks for your help
Click here to see answer by funmath(2925)

Question 58651: is a homework, not isbn
(a^2x^-2)^-2/(a^-3x^2)^-2
Click here to see answer by funmath(2925)

Question 58833: Find the value of x
x+2 over x-4 = 7 0ver 4
Click here to see answer by funmath(2925)

Question 58830: Find the value of x
x-3 over 2 = x over 5
Click here to see answer by funmath(2925)

Question 58859: I am lost on this one????????

Find a polynomial of degree 12 with zeroes and 5,-3/8 and 4+5i

thanks
Click here to see answer by stanbon(57962)

Question 58860: I understand how to find the area of a border, but, my difficulty is in the word problems when the exact dimensions are not given such as: A rectange is 3x as long as it is wide. If its length and width are both decreased by 2cm, its area is decreased by 36cm2. find its original dimensions.

Click here to see answer by stanbon(57962)

Question 58864: Could use some hlp plz
find the leading coefficient of (5x-2)(4-9x)(4x+5)^2(5-2x)^3
thanks a million 4 your time
Click here to see answer by stanbon(57962)

Question 58857: Anybody know how to solve this one
Given f(x)=-5x^4+x^3+2x^2+3x+1, and k=1, express f(x) in the form f(x)=(x-k)q(x)+r

thank you very much for your time
Click here to see answer by stanbon(57962)

Question 58856: I need some help
Given f(x)=3x^3-4x-6, find vertex,domain, range and axis of symmetry

Thanks for your time
Click here to see answer by stanbon(57962)

Question 58868: ((2x)^3(xy)^2) + (2xy)^2(-x)^3 = (8x^3)(x^2y^2)+(4x^2y^2)(-x^3)
= 8x^5y^2-4x^5y^2
= 4x^5y^2
((2x)^3(xy)^2)((2xy)^2(-x)^3 = -32x^10y^4

Click here to see answer by jaya_rohith1@yahoo.com(33)

Question 58897: simplify =? thank you very much.
Click here to see answer by uma(370)

Question 58897: simplify =? thank you very much.
Click here to see answer by funmath(2925)

Question 58908: Please help me to solve.
State which method should be applied as the first step for factoring the polynomial.
6x3 + 9x
should I find GCF first, group the terms or use the ac (trial and error) method? thanks for your time.
Click here to see answer by stanbon(57962)

Question 58916: Am i correct in that y=x^2-2x+4 has no x-intercept.
Click here to see answer by funmath(2925)

Question 58910: The profit on a watch is given by P = x2 – 13x – 80, where x is the number of watches sold per day. How many watches were sold on a day when there was a $50 loss?
Click here to see answer by asha(30)

Question 58919: Solve 1/T = 1/W - 2/D for W.
Click here to see answer by stanbon(57962)

Question 58920: Solve. Graph the solution and leave your answer in interval notation.
| 4 - 3x | - 7 (is greater than or equal to) 12
Click here to see answer by stanbon(57962)

Question 58921: Find the equation of a line that goes through the y-intercept of 2x - 3y = 24 and the x-intercept of 5x + 6y = 30. Leave your answer in slope-intercept form.
Click here to see answer by uma(370)

Question 58987: Please help me.
I have simplified the equation: 2/5-y/y-2. I got -3y+4/5(y-2). Is it correct? Can it be further simplified?
Thanks
Click here to see answer by stanbon(57962)

Question 58991: Hello, I am resubmitting using parenthesis.
(2/5)-(y/y-2). I need to know how to answer in it's simpliest form. I got
(-3y+4)/5(y-2).
Click here to see answer by stanbon(57962)

Question 59003: factor completely with respect to the intergers 10x^4- 160
Click here to see answer by stanbon(57962)

Question 59003: factor completely with respect to the intergers 10x^4- 160
Click here to see answer by funmath(2925)

Question 58996: Sum the polynomials 2x^2 - 3x - 4, 2x - 5 and 3x^3 + 2x^2 - 6
Click here to see answer by funmath(2925)

Question 59005: factor comletely with respect to the intergers 4x^3-8x^2+3x-6
Click here to see answer by funmath(2925)

Question 59011: factor completely with respect to the intergers x^4-13x^2+36
Click here to see answer by stanbon(57962)

Question 59011: factor completely with respect to the intergers x^4-13x^2+36
Click here to see answer by funmath(2925)

Question 59015: can some one please help, i do not knwo how to figure this out. thanks
76. x^3-1/x^2+1 divided by 9x^2+9x+9/x^2-x
Click here to see answer by funmath(2925)

Question 59030: x^4-8x^2+7=0

Click here to see answer by funmath(2925)

Question 59059: Factor 9x^2 - 4y^2
MY WORK - 81X - 16Y
Click here to see answer by venugopalramana(3286)

Question 59062: Factor the polynomial 27x^3 - 8y^3

MY WORK 27^3 = 19683x
8Y^3 = 512

Click here to see answer by venugopalramana(3286)

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