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

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

Question 274956: Evan hiked up a mountain at 3km/h and returned at 4km/h. The entire trip took 5 hours and 10 minutes, including the half hour he spent at the top.How long was the trail?
Click here to see answer by ankor@dixie-net.com(15656)

Question 274977: Diameter of a circle. If the diameter of a circle is 1.3*10^12 meters, then what is its radius?
Click here to see answer by Alan3354(30993)

Question 274999: (x+3)(x+5)
Click here to see answer by jim_thompson5910(28595)

Question 274978: Ben's average driving speed for a 5 hour trip was 35 miles per hour. During the first four hours, he drove 30 miles per hour. What was his average speed for the last hour of his trip?
Click here to see answer by ankor@dixie-net.com(15656)

Question 274997: A new car worth $21,000 is depreciating in value by $3,000 per year. Complete parts (a) through (c) below.
a. Write a formula that models the car's value, y, in dollars, after x years.
y=

Click here to see answer by Alan3354(30993)

Question 274948: . factor and find all complex 0's for f(x)=x^4+3x^2-8x^2-22x-24
Click here to see answer by jsmallt9(3296)

Question 275124: Find all values that make the expression undefined.
r-8
_____ =
6-r
Click here to see answer by Alan3354(30993)

Question 275112: The expression (4b^−3 c^3 )^−5 (3b^−4 a^−2 )^−2 equals n(a^r)(b^s)(c^t)
where n, the leading coefﬁcient, is:
and r, the exponent of a, is:
and s, the exponent of b, is:
and ﬁnally t, the exponent of c, is:
[NOTE: Your answers cannot be algebraic expressions.]

Click here to see answer by jsmallt9(3296)

Question 275220: The sides of a square are lengthened by 7 cm, the area becomes 256cm^2. Find the length of the original square.
deb_adkins2@yahoo.com
Click here to see answer by ankor@dixie-net.com(15656)

Question 275230: 4(3d-5)=2(5d+1)
Please solve for d
I know the answer is 11 and I started my work by doing 4(3d-5)-2(5d+1)=0
But I'm not sure if that is right. Please help me.
Click here to see answer by jim_thompson5910(28595)

Question 275253: A rectangular painting with a width of x centimeters has an area of x^2 + 48x square centimeters. Find a binomial that represents the length.
Click here to see answer by checkley77(12569)

Question 275229: Subtracting Polynomials
(m+5)(m+9)

Click here to see answer by checkley77(12569)

Question 275273: write the simplest polynomial function with zeros -3i, and 2
Click here to see answer by user_dude2008(1861)

Question 275287: What is the constant in the product of (3t-2)(t-4)?
Click here to see answer by dabanfield(803)

Question 275296: What is the coefficient of the term with highest degree in the diffenence of
(3x²-4x-2) – (-x² - 4x +7)?
Click here to see answer by Greenfinch(383)

Question 275404: how do i solve 4/x=14/5x+2
Click here to see answer by mananth(12270)

Question 275378: Perform the indicated operation of ( w^6 – w^3 ) – ( - w^2 + w)
Click here to see answer by edjones(7569)

Question 275480: At a well-known university,1/4 of the undergraduate students commute, and 1/3 of the graduate students commute. One-tenth of the undergraduate students
drive more than 40 miles daily, and 1/6 of the graduate students drive more than 40 miles daily. If there are twice as many undergraduate students as there are graduate students, then what fraction of the commuters drive more
than 40 miles daily?
Click here to see answer by ankor@dixie-net.com(15656)

Question 275586: can these trinomials be faxctored and if so how? i am totally lost
u^3 – 125v^3
-4w3 – 16w2 + 20w
-36a^2b + 21ab^2 – 3b^3
x^2 – 5xz -24z^2

Click here to see answer by Earlsdon(6287)

Question 275639: I'm not sure how to go about figuring this out:
Write the simplest polynomial with zeros:
½, 5, and -2.
Click here to see answer by solver91311(16897)

Question 275641: Write the simplest polynomial with zeros: 1, 4, and -3.
Click here to see answer by solver91311(16897)

Question 275667: x2-x-6 divided by x2-4 is what?
Click here to see answer by JBarnum(2044)

Question 275661: 1. find the number of spaces needed when the average number of arrivals is (a) 62; (b) 100
2. √(23s^2 )
Click here to see answer by JBarnum(2044)

Question 275638: Write a ratio for the word phrase, in lowest terms : 9 feet to 5 yards.
Click here to see answer by edjones(7569)

Question 275621: factor this polynomial and use the factored form to find the zeros:
x^6-16x^3+64
please show the steps I'm having trouble on how to approach the problem once I know how to factor it properly the zeros aren't difficult to find.
Click here to see answer by edjones(7569)

Question 275783: 16a^2 + 8ab- 15b^2
Click here to see answer by checkley77(12569)

Question 275640: Find all roots of the equation:

x to the fourth subtract three x to the third subtract eight x squared plus twenty-two x subtract twenty-four equals zero
Click here to see answer by jsmallt9(3296)

Question 275846: u cubed=14u squared+32u
Click here to see answer by jsmallt9(3296)

Question 275855: u cubed=14u squared+32u
Click here to see answer by jsmallt9(3296)

Question 275848: Solve the following equation:
x-3 = sqrt(x-1)
Click here to see answer by edjones(7569)

Question 275859: Factor completely:
ac+cd-ab-bd
Click here to see answer by richwmiller(9143)

Question 275866: what is the answer to 3x+4+9x+6
Click here to see answer by richwmiller(9143)

Question 275380: Use Set up and solve the following problem. Find two consecutive even integers with a product of 48. This is to be done using algebra. Be sure and define your variables, set up the equation, solve, and make a conclusion statement.
Click here to see answer by jeweltogem(1)

Question 275847: Solve the following equation:
2/3-1/5=7/3x
Click here to see answer by rfer(12662)

Question 276023: I need help with this problem.
Factor this expression completely.
0.09y2 - 0.81

Click here to see answer by stanbon(57361)

Question 276209: Find the Solution for f(x) <0
Click here to see answer by Alan3354(30993)

Question 276231: Please help me sove (a+2)(a-19) with the FOIL method.
I have tried to work it out and have gotten this far:
(a+2)(a-19) = (a)(a)+ (2)(-19)+ (2)(a)+ (2)(-19)
= a squared -38 + 2a - 38
= ?

Click here to see answer by Alan3354(30993)

Question 276303: How do you find the integral bounds for

Click here to see answer by solver91311(16897)

Question 276312: pplease help me solve this problem
find a polynomial of degree 3 that has zeros 1, -2, and 3, and which the coefficient of x^2 is 3.
Click here to see answer by edjones(7569)

Question 276444: Factor by grouping x^2-y^2-ax-ay
Click here to see answer by mananth(12270)

Question 276436: 49x^2+14xy+y^2

Click here to see answer by mananth(12270)

Question 276575: (3r^5/5r^-3)^-2 (9r^-1/2r^-5)^3
Click here to see answer by stanbon(57361)

Question 276578: What is the answer (3x+4)(x-5) can i please see work to
Click here to see answer by EMStelley(187)

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