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

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

Question 431930: Factor the following trinomials:
X^2 + 8X +7
x ^2 - 10x + 9

Click here to see answer by ewatrrr(10682)

Question 431934: I need to answer this partial question.
The inverse of raising a quantity to a power is_________.
Please help, I understand that inverse means opposite. And that raising a quantity to a power would be a square root. But what I don't understand is
what the inverse would be to the question.

Click here to see answer by richard1234(5390)

Question 431702: Find the polynomial P(x) of lowest degree that has the zeros, 5,-5,1,-1.
Answer: I know I have to set everything to 0.
x-5=0
x+5=0
x-1=0
x+1=0
(x-5)(x+5)(x-1)(x+1)=0
Now from there I don't know how to continue.
Click here to see answer by jsmallt9(3296)

Question 432094: Please help me factor these polynomials:
4y^2+16y+16
Click here to see answer by nerdybill(6958)

Question 432102: what is the answer for this?
(7a^3+8a^2-2a)-(4a^3-3a^2-9a)

Click here to see answer by Alan3354(30993)

Question 432205: Please solve
Solve: sqrt(8) + sqrt(18)

Click here to see answer by rfer(12657)

Question 432258: factor as the sum of two cubes:
8b^3+1/27 (faction)
I know (a+b)(a^2-ab+b^2)
may problem is the faction of 1/27
Click here to see answer by scott8148(6628)

Question 432299: x^3-1000y^3
Click here to see answer by Alan3354(30993)

Question 432316: Please help me!!!
12w^3+36w^2+27w
Click here to see answer by stanbon(57327)

Question 432338: how do you factor 12m^4+36m^9-96m^3
Click here to see answer by rapaljer(4667)

Question 432583: Express with a rational denominator
-1+ the square root of -3
---------------------------
1+ the square root of 3

(note: the dashes mean divided by.)
Click here to see answer by edjones(7569)

Question 432689: find the gcf for 2t^2+20t+48
Click here to see answer by edjones(7569)

Question 432788: find a polynomial function of lowest degree with integer coefficients that has the given zeros 0,i,-i.
(x-0) (x-i) (x+i)= p(x)=(x-0)(x-i)(xti) Im stuck after this part please help?
Click here to see answer by tinbar(128)

Question 432786: divide and simplify so that there are no radicals in the denominator
9/sqrt4
please help
Click here to see answer by josmiceli(9671)

Question 432833: simplify this rational expression...
-3t
------
t3 - t2

Click here to see answer by MathLover1(6627)

Question 432906: (4.203 x 10^5)³
Click here to see answer by rfer(12657)

Question 432947: Factor the expression by taking out the greatest common factor.
3a2 - 3a - 75
Please show me the steps to get the answer. Thanks
Click here to see answer by rapaljer(4667)

Question 433088: could someone please help with this
I have to solve and check and show all steps. When I take the test if I have not shown all steps for check and solving I will get the answer wrong. So I need to get this down.
sqrt3x^2=-18
please show how. thankyou
Click here to see answer by josmiceli(9671)

Question 433282: I need to factor completely
36r^2-25
Thank you
Click here to see answer by MathLover1(6627)

Question 433283: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0
Solutions: 3, only solution
Thank you
Click here to see answer by MathLover1(6627)

Question 433281: Use the foil method to find the product
(7x^2-6)(x^4-7)
Thank you
Click here to see answer by stanbon(57327)

Question 433281: Use the foil method to find the product
(7x^2-6)(x^4-7)
Thank you
Click here to see answer by MathLover1(6627)

Question 433281: Use the foil method to find the product
(7x^2-6)(x^4-7)
Thank you
Click here to see answer by katealdridge(100)

Question 433320: (x+y)^3 + (x-y)^3
Click here to see answer by Alan3354(30993)

Question 433290: a) Solve for 5x^2=15
b) Find the x-intercepts of f(x)=5x^2-15
Thank you
Click here to see answer by katealdridge(100)

Question 433325: If the area of a rectangle is 88yd^2, what are the dimensions if, the length of a rectangle is 5yd more than twice its width?
Click here to see answer by algebrahouse.com(1079)

Question 433295: Rewrite the following expressions with positive exponents
(45xy)^-4/9
Thank you
Click here to see answer by Alan3354(30993)

Question 433297: f(x)= x cubed-x squared+ x-1 find the zeros
Click here to see answer by Alan3354(30993)

Question 433429: The cost, in millons of dollars, to remove x % of pollution in a lake modeled by C= 6000/200-2x
1.What is the cost to remove 75% of the pollutant?

Click here to see answer by stanbon(57327)

Question 433437: Add. Simplify if possible (w+x)/(wx^2 )+(7w+x)/(w^2x)
Click here to see answer by MathLover1(6627)

Question 433493: what is the GFC of 24x and 9x^3
Click here to see answer by stanbon(57327)

Question 433501: how do i write a polynomial in standard form.
For example 2x
Click here to see answer by Alan3354(30993)

Question 433565: I have a total of 5 problems that I need assistance with all algebra but different problems. Here is the first one
Find the vertex, the line of symmetry, and the max or min value of f(x). graph the function
f(x)=1/2(x+7)^2+4.
since I am not sure if I can enter all five questions at the same time I will wait for a response so that you can let me know what to do.
thanks
Click here to see answer by rfer(12657)

Question 433589: In a right triangle, find the length of the side not given.
b= 1 c= sqrt 17 The length of the third side is__.
Thank you
Click here to see answer by belle3833(46)

Question 433593: For the following equation, state the value of the discriminate and then describe the nature of the solutions.
-5x^2+4x+10=0
Thank you
Click here to see answer by belle3833(46)

Question 433594: what does descrates rule of signs tell me about number of real positive zeros and negative real zeros of this function. 5x raised to the 6th-3x raised to the 3rd+x squared-x?
Click here to see answer by robertb(4012)

Question 433584: Find the x-intercepts for the graph of the equation: y=x^2-3x-10
Thank you
Click here to see answer by robertb(4012)

Question 433699: what is the answer of 0-1 .
Click here to see answer by rwm(914)

Question 433711: Hello there. can you please help me find the lcm of x^2-x and 3-3x?
Thank you!
Click here to see answer by psbhowmick(529)

Question 433722: 1/Q=1/T1+1/T2
solve for T2
the 1 and 2 after the Ts are smaller numbers to the bottom of the Ts.
Click here to see answer by psbhowmick(529)

Question 433806: 150x^2-96
Please help me factor....
I have four answers
1.(30x-24)(5x+4)
2.6(5x+4)^2
3.6(5x-4)(5x+4)
4.(5x-4)(30x+24)
i think 1 and 4 are the same,and they make sense because 1. 30x+5x=150x^2
but im not sure..

thanks
Paola
Click here to see answer by shree840(260)

Question 433799: Simplify: 1/2sqrt(128)-sqrt(98)+1/3sqrt(225)
Click here to see answer by Mr.Math(29)

Question 433919: 1. Find the zeros of the polynomial function and state the multiplicity of each:
f(x) = -5x^2 (x-9)(x+3)^3
Click here to see answer by stanbon(57327)

Question 433942: I am having trouble with this problem.
Given the polynomial function f(x). find the rational zeros. then the other zeros and factor f(x) into linear factors:
f(x)= x^3 + 5^2 +25x + 125
Click here to see answer by stanbon(57327)

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