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

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

Question 39769: let f(x) = 1/x+1 + 3/x-5
find all values of "a" for which : f(a) = f(a+6)
Click here to see answer by fractalier(2101)

Question 39801: please help me solve this equation: .
thank you very much.
sara
Click here to see answer by fractalier(2101)

Question 39711: factor completely
a^6n - b^6n
Click here to see answer by fractalier(2101)

Question 39688: Divide.
7x^5y^5 - 21x^4y^4 + 14x^3y^3 divided by xy^2z^3
Click here to see answer by fractalier(2101)

Question 39807: Find two consecutive negitive intigers whose product is 90.
Thank you
Click here to see answer by fractalier(2101)

Question 39808: The length of a rectangle is 8 inches greater than its width. Find the width of the rectangle if its area is 105 square inches.
Thank you
Click here to see answer by fractalier(2101)

Question 39809: Twelve more than a square of a number is 7 times the number. find the number.
Thank you
Click here to see answer by fractalier(2101)

Question 39810: The length of a rectange is 6 inches less than twice its width. Find the dimension of the rectangle if its ares is 108 square inches.
Thank you
Click here to see answer by fractalier(2101)

Question 39806: The sum of two consecquitive positive even numbers is 340. find the numbers
Thank you
Click here to see answer by fractalier(2101)

Question 39813: If the sides of a square are lengthened by 4cm, the area becomes 256 square cm. Find the length of a side of the original square.
Thank you
Click here to see answer by fractalier(2101)

Question 39814: If a number is added to its square the result is 56. Find the number.
Thank you
Click here to see answer by fractalier(2101)

Question 39816: If the sides of a square are lengthened by 4cm, the area becomes 256 square cm. Find the length of a side of the original square.
Thank you

Click here to see answer by stanbon(57219)

Question 39818: If a number is subtracted from its the result is 2. find the number.
Thank you

Click here to see answer by stanbon(57219)

Question 39790: Simplify. Write the expression without negative exponents.
(p-^5)-9(p-6)^4/(p^-8)^0(p^4)^-5

Click here to see answer by stanbon(57219)

Question 39817: find two consecqutive intigers whos product is 182.
Thank you

Click here to see answer by stanbon(57219)

Question 39815: If a number is added to its square the result is 56. Find the number.
Thank you

Click here to see answer by stanbon(57219)

Question 39819: Max is 24 yrs older then his son Liam. In 2 yrs Liam will be half as old as max. How old is Liam now?
Thank you

Click here to see answer by Paul(988)

Question 39839: Need help with the following:
Find a rational function that has x=2 and x=-1 as vertical
asymptotes, and (4,0) as an x-intercept.

Click here to see answer by AnlytcPhil(1276)

Question 39837: Need help with the following:
Suppose that a polynomial function of degree 4 with rational coefficients has –1, 0, and 2 – 3i as zeros. What is the remaining zero?

Click here to see answer by stanbon(57219)

Question 39838: Need help with the following:
Find the zeros of the polynomial function
f(x) = 2x(x+2)(3x-4)^3 and state the multiplicity of each.

Click here to see answer by stanbon(57219)

Question 39840: Need help with the following:
Use synthetic division to find the quotient and remainder when
3x3 – x2 + 4x – 10 is divided by x + 1.
Click here to see answer by fractalier(2101)

Question 39820: Sally wants to buy some things for her hair. She can buy 2 scrunchies & 4 barretts for $12.50 or 1 scrunchie & 6 Barretts for $12.25. How much does the scrunchie cost theat she wants to buy?
Thank you
Click here to see answer by fractalier(2101)

Question 39771: simplify
x-y/x-(y-z) - z-x/(y-x) - z
Click here to see answer by tran3209(100)

Question 39862: Simplify the following expression and write answer with positive exponents only.

(a^-3)^2(a^4)divided by (a^-3)^-3

Click here to see answer by stanbon(57219)

Question 39864: The cost of producing x units of an item is C = 150+25x. The revenue for selling x units is R = 90x - x^2. The profit is given by the revenue minus the cost. Find the polynomial that represents profit.
Click here to see answer by stanbon(57219)

Question 39866: The length of a rectangle is given by 3x + 5cm and the width is given by 2x - 7cm. Express the area of the rectangle in terms of x.

Click here to see answer by stanbon(57219)

Question 39868: Find the following product
x(x-2)(x+2)
Click here to see answer by stanbon(57219)

Question 39869: Suppose an orchard is planted with trees in straight rows. If there are 5x - 4 rows with 5x - 4 trees in each row, how many trees are there in the orchard?
Click here to see answer by stanbon(57219)

Question 39874: Find the value of c so that
y^2 - y + c divided by y + 1 = y-2
Click here to see answer by wuwei96815(245)

Question 39874: Find the value of c so that
y^2 - y + c divided by y + 1 = y-2
Click here to see answer by stanbon(57219)

Question 39872: Divide
x^4 + 2x^2 - 2
divided by
x^2 + 3
Click here to see answer by fractalier(2101)

Question 39870: Perform the indicated division
x^2 + 5x + 6
divided by
x + 2
Click here to see answer by fractalier(2101)

Question 39871: Divide
4x^3 + 7x^2 + 10x + 5
divided by
4x - 1
Click here to see answer by fractalier(2101)

Question 39867: Let x represent the number and then write an expression for the product.
The product of 6 more than a number and 6 less than that number.
Can someone tell me it this is correct and if not please help.
x = (n times 6) + (x - 6)
Click here to see answer by fractalier(2101)

Question 39863: Megrez, the nearest of the Big Dipper stars, is 6.6 x 10^17m from the Earth. Approximately how long does it take light, traveling at 10^16m/year, to travel from Megrez to the Earth?
Click here to see answer by fractalier(2101)

Question 39902: What is the completely factored form of 25x^4-4x^2?
Click here to see answer by checkley71(8403)

Question 39904: Rewrite the middle term as the sum of two terms and then factor completely.

12w^2 + 19w + 4
Click here to see answer by checkley71(8403)

Question 39905: Rewrite the middle term as the sum of two terms and then factor completely.
4z^3 - 18z^2 - 10z
Click here to see answer by Fermat(127)

Question 39953: Tim is twice as old as his son. In 6 yrs Tim’s age will be three times what his sons age was 6 years ago. How old is Tim’s son now?
thank you
Click here to see answer by Paul(988)

Question 39963: Anna went to the grocery store. she bough 3 oranges and 6 apples. she paid $4.50. Maria went to the same store and bough 2 oranges and 2 apples. Her cost was $2.10. How much would 1 apple cost?
thanx
Click here to see answer by stanbon(57219)

Question 39979: In an endurance race, Alyson rode her bike 7 miles less than Jeff. Together they rode 39 miles. How far did Jeff Ride?
Click here to see answer by Nate(3500)

Question 39977: simplify this problem
6x^2-54
________=
4x^2-36
thanx
Click here to see answer by Nate(3500)

Question 39982: An airplane flew for 6 hrs against a tail wind of 25km/hr. The return trip with the samewind took 5 hrs. Find the speed of the plane still in the air.
thanx
Click here to see answer by stanbon(57219)

Question 39951: Hello tutor, i am intrested in reciving private lessons from you, i currently am trying to raise up my math grade to atleast an (B) it is currently an (c)Please respond to me as soon as possible, thank you!
Simplify each product
(a-7)(a+5)
Click here to see answer by stanbon(57219)

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