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

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

Question 1132410: 4m/4m2−1 − 2m+1/6m−3 + 2m−1/4m+2
Click here to see answer by ikleyn(52751)

Question 1132409: (1/.5x+y − 2y/.25x2+xy+y2)÷(.5x/.25x2−y2 + 1/2y−x)+2
Click here to see answer by ikleyn(52751)

Question 1132474: simplify the expression:
(1/(.5x+y) − 2y/(.25x2+xy+y2))÷(.5x/(.25x2−y2) + 1/(2y−x))+2
Click here to see answer by Edwin McCravy(20054)

Question 1132473: simplify the expression:
4m/(4m2−1) − (2m+1)/(6m−3) + (2m−1)/(4m+2)
Click here to see answer by Alan3354(69443)

Question 1132473: simplify the expression:
4m/(4m2−1) − (2m+1)/(6m−3) + (2m−1)/(4m+2)
Click here to see answer by greenestamps(13195)

Question 1132570: what multiplys to 196 and adds to 53

Click here to see answer by t0hierry(194)

Question 1132616: Question 1 : Write the following polynomials in the expanded form and determine the coefficients for each terms
(a) P1(x) = (x − 1)2
(2x + 3)
Click here to see answer by josgarithmetic(39613)

Question 1132698: Please help me solve this, graphing is not my strong spot...
Graph each function:
f(x)=x^2
g(x)=-2x^2
h(x)=(1/4)x^2
Thank you so much in advance!

Click here to see answer by josgarithmetic(39613)

Question 1132819: If x + y = 4 and xy = -12; what is the value of x^2 + 5xy + y^2?
Click here to see answer by greenestamps(13195)

Question 1132819: If x + y = 4 and xy = -12; what is the value of x^2 + 5xy + y^2?
Click here to see answer by ikleyn(52751)

Question 1132828: p(x)=x4-4x3+3x2-5x+24
Click here to see answer by Alan3354(69443)

Question 1132818: What is quotient if 3x^3y-xy^3 + 3x^2y^4-6 is divided by x + y^3?
Click here to see answer by Alan3354(69443)

Question 1132859: Peter's age 13 years ago was 1=3 of his age 7 years hence. How old is Peter?
Click here to see answer by Alan3354(69443)

Question 1132863: In a class, half of the students took Geography while three-fifths took Statistics. If 8 students took both and four students did not choose any of the two subjects, how many students are there in class?
Click here to see answer by ikleyn(52751)

Question 1132871: An isosceles triangle with perimeter 80 cm is cut in half through a line passing through its vertex angle. If each resulting triangle has a perimeter of 70 cm, find the height of the original triangle.
Click here to see answer by Boreal(15235)

Question 1132875: solve the quadratic equations by factoring:
a) 4x^2=4x-1

b) 4n^2-15n-25=0
Click here to see answer by greenestamps(13195)

Question 1132874: A natural number is 5 less than four times another natural number. If the larger number is between 15 and 55, find the difference between the largest and smallest possible values of the smaller number.
Click here to see answer by Theo(13342)

Question 1133047: Is f(x)=x^2+3x+5x^3 a quadratic function always true sometimes true never true and why?
Click here to see answer by josgarithmetic(39613)

Question 1133046: Rewrite the following expressions with positive exponents and explain how to do this.
4y^3z^5/8z^2 ( w^9/9v^5)^-2 5x^4y^-3/2x^3y^7
Click here to see answer by ankor@dixie-net.com(22740)

Question 1133050: Why can’t the expressions x^8/y^2 be simplified? Please explain why.
Click here to see answer by algebrahouse.com(1659)

Question 1133090: A tourist was planning a trip by car for travelling at some constant speed for 2.5 hours. However, he found that if he increases the speed by 20 km/h he can cover the same distance in 30 minutes less time than it was planned. What was the planned speed of the tourist, in km/h?
Click here to see answer by josgarithmetic(39613)

Question 1133091: A jet ski with average speed of 60 mph left a pier by the river upstream. Fifteen minutes after its motor broke, and it began drifting downstream for 3 hours and 45 minutes until reached another pier, which was 2 miles away down the river from the original pier. What is the rate of the current, in mph?
Click here to see answer by ikleyn(52751)

Question 1133112: Algebra 2: Please help me understand to solve these problems. Thank you!
1. Factor completely: 3x2 - 75
2. A car travels for 2½ hours and covers a
distance of 125 miles. What was the
car’s average speed?
3. If f(x) = 2x - 3, g(x) = x2, and
h(x) = !3x, find (g f h )(2).
4. Factor: 15x2 + 7x - 36
5. Find the zeros of the polynomial
function f(x) = 15x2 + 7x - 36.
6. If g(x) = 5x + 6, find g -1(x) solved for y.

Click here to see answer by MathLover1(20849)

Question 1133116: X3+KX2-72;X+3
Click here to see answer by josgarithmetic(39613)

Question 1133204: Can someone please help, I've been struggling in trying to solve the equation.
Factor the expression.
15y(5y − 13)^1/5 − 2(5y − 13)^6/5
Click here to see answer by Alan3354(69443)

Question 1133229: Divide x^6-y^6 by x^4+x^2y^2 + y^4.
Click here to see answer by josgarithmetic(39613)

Question 1133229: Divide x^6-y^6 by x^4+x^2y^2 + y^4.
Click here to see answer by ikleyn(52751)

Question 1133230: Assume that x≠0 and x≠-1, simplify (x^3+1)^-1 + (x^-3 + 1)^-1.
Click here to see answer by MathLover1(20849)

Question 1133366: At a local bakery, the price for a doughnut is $0.85. Each day the manager of the store buys a pie for $3.50 and some doughnuts for his employees. Write an equation that represents the total cost, f(x), as a function of the number of doughnuts purchased (x)? *
Click here to see answer by josmiceli(19441)

Question 1133400: The edge of one cube is 4 cm longer than the edge of a second cube. The volumes of the cubes differ by 316cm^3. Find the length of the edge of each cube.
Click here to see answer by Boreal(15235)

Question 1133453: Can someone please help!
Aaron wants to mulch his garden. His garden is (x^2+ 18x + 81) ft^2. One bag of mulch covers (x^2− 81) ft^2. Divide the expressions and simplify to find how many bags of mulch Aaron needs to mulch his garden.
Click here to see answer by Alan3354(69443)

Question 1133452: Factor the expression.
15y(5y − 13)^ 1/5 − 2(5y − 13)^ 6/5
Click here to see answer by Alan3354(69443)

Question 1133451: Can someone please help in explaining how to correctly solve this:
Factor the expression.
4z(5z − 7)^ −3/2 + 11(5z − 7)^ -1/2

Click here to see answer by Alan3354(69443)

Question 1133451: Can someone please help in explaining how to correctly solve this:
Factor the expression.
4z(5z − 7)^ −3/2 + 11(5z − 7)^ -1/2

Click here to see answer by greenestamps(13195)

Question 1133451: Can someone please help in explaining how to correctly solve this:
Factor the expression.
4z(5z − 7)^ −3/2 + 11(5z − 7)^ -1/2

Click here to see answer by MathTherapy(10549)

Question 1133460: Which of the following four examples of terms are perfect cubes? Explain your answer to each ( why you put yes or why you put no)
125x^8
1y^12
8c^9
9b^27
Click here to see answer by josgarithmetic(39613)

Question 1133459: Are both x^2+16 and x^3+27 factorable? Why or why not (explain).
Click here to see answer by josgarithmetic(39613)

Question 1133459: Are both x^2+16 and x^3+27 factorable? Why or why not (explain).
Click here to see answer by MathTherapy(10549)

Question 1133496: h(b)=b^2+3 find b so that h(b) = 19
Click here to see answer by ikleyn(52751)

Question 1133495: g (a)= 2a^2 - 13a + 24 find a so that g(a) =4
Click here to see answer by ikleyn(52751)

Question 1133532: An Internet search engine returned 150,000,000 hits from its data- base for the keyword “math” in 0.18 sec. a. What was the average time per hit? 3 b. Express this time in nanoseconds.
Click here to see answer by josmiceli(19441)

Question 1133768: Given that a,b, and c are constants, a y= sqrt((x-a)(x-b)(x-c))
Hint: Graph y=(x-a)(x-b)(x-c)

Click here to see answer by greenestamps(13195)

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, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105