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

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

Question 203817: 10t-10t^3/ 5t+5t^2
Click here to see answer by RAY100(1637)

Question 203815: how to
factor q2-3q+18=0
Click here to see answer by RAY100(1637)

Question 203809: The area in square meters for a triangular
sail is given by A(x) - x2 - 5x - 6.
a) Find A(5).
b) If the height of the sail is x - 3 meters, then what is
the length of the base of the sail?

Click here to see answer by RAY100(1637)

Question 203821: 8x^2+6x-2/16x^2-1
Click here to see answer by jsmallt9(3758)

Question 203928: The area in square meters for a triangular
sail is given by A(x) =x^2 + 5x + 6.
Find A(5).
b) If the height of the sail is x +3 meters, then what is
the length of the base of the sail?

Click here to see answer by RAY100(1637)

Question 203951: Can someone please help me with this one;
1019.03 = 25.57802 + 1026/(1 + x/2)^2
Click here to see answer by RAY100(1637)

Question 203910: Find all numbers for which the rational experssion is undefined.
t^3-7t/t^2-81
Thanks for the help
Click here to see answer by RAY100(1637)

Question 203970: solve:
(x+4)(x-9)=0
Click here to see answer by stanbon(75887)

Question 202149: 1-(7/b)=-48b/b^2+7b
7 is over b
-48b is over b^2 + 7b
Click here to see answer by MathTherapy(10551)

Question 202151: Reduce the fraction to lowest terms.
x^2-y^2/8x-8y ___?
7-y/y-7 ____?
75a^2b/25ab^2 ___?
Click here to see answer by MathTherapy(10551)

Question 203973: Ok, so I was told to 'factor the trinomial completly' with this problem...
x^7-x^6-64x+64 .....
I think I am sapose to combine like terms so it would be in the form x^2+bx+c where x is one.
So I combined them and got x-64x+64 and I know I have to factor but I am not sure if I can....because the product is a*c=64 and the sum is -64 and I am not sure what two numbers multiply together that equal 64 that also add together to equal -64.
help?

Click here to see answer by nerdybill(7384)

Question 204002: Tropical Pools sells an aboveground
model for p dollars each. The monthly revenue for this
model is given by the formula
R(p)=-0.08p^2 + 300p.
Revenue is the product of the price p and the demand
(quantity sold).
a) Factor out the price on the right-hand side of the
formula.
b) Write a formula D(p) for the monthly demand.
c) Find D(3000).
d) Use the accompanying graph to estimate the price at
which the revenue is maximized. Approximately how
many pools will be sold monthly at this price?
e) What is the approximate maximum revenue?
f) Use the accompanying graph to estimate the price at
which the revenue is zero.
Click here to see answer by stanbon(75887)

Question 204019: I need help factoring polynomials, like, x9y6+x3y5-x4y3+x3y3
Click here to see answer by Earlsdon(6294)

Question 203976: x^7-x^6-64x+64
Click here to see answer by RAY100(1637)

Question 204125: I've been instructed to find the general equation given this information: zeros at (-1-sqrt(3)) and (-1+sqrt(3)). A point intersected by the parabola of this equation is (1,2). I have determined that a=-(2/3).
I now have the equation -(2/3)*(x-1-sqrt(3))*(x-1+sqrt(3)). I'm supposed to find the general equation, "fully expanded, in descending order of powers". I've tried simplifying this equation - i.e. factoring - but cannot find a 'simpler' equation that goes through the point (1,2). I did graph the equation I'm trying to simplify, and it does indeed go through (1,2). So, my question is, can this equation be simplified further, or do I have my answer? If this can be simplified further, would you please show me how? Thank you very much! Julia.
Click here to see answer by stanbon(75887)

Question 204171: a2+2a-35 /12x devided by ax-3x/a2 + 4a -21

Click here to see answer by RAY100(1637)

Question 204171: a2+2a-35 /12x devided by ax-3x/a2 + 4a -21

Click here to see answer by lazi(15)

Question 204183: (ab+b^2)/(4ab^5 )�(a+b)/(6a^2 b^4 )
Click here to see answer by RAY100(1637)

Question 204182: (a+7)/(a-4) +(9-5a)/(a-4)
Click here to see answer by stanbon(75887)

Question 204207: The Schwarzschild radius describes the critical value to which the radius of a massive body must be reduced fot it to become a black hole.
R= 2GM/c^2
where
G= gravitational constant 6.7x10^-11
M=mass of the object
C= speed of light 3x10^8
The sun has M= 2x10^30 What is Schwarzschild radius for the sun? [Note it's true radius is 700,000.]
Click here to see answer by ankor@dixie-net.com(22740)

Question 204262: Factor the polynomial completely. If a polynomial is prime say so.
Problem: 9x^2 + 4y^2 =
Click here to see answer by stanbon(75887)

Question 204255: I times by the x and by 2y and did the same on the others side with the 5x and 4y to try to get lcm.My answer was way off from the book.
2/x - 3/2y + 3/5x -1/4y Thank-you
Click here to see answer by stanbon(75887)

Question 204263: Factor the polynomial completely.
Problem: h^2 -9hs +9s^2 =
Click here to see answer by checkley77(12844)

Question 204277: i and -2i are two zeros of .
Find the other zeros and write p(x)as a product of linear factors.
Click here to see answer by solver91311(24713)

Question 204294: A parsec is approximately 3.1 x 10^16 meters. If the distance to the farthest observable galaxies is approximately 1.62 x 10^9 parsecs, approximately how many meters is it to the farthest observable galaxies?
Click here to see answer by Alan3354(69443)

Question 204273: Find the remainder when is divide by x+1
Click here to see answer by RAY100(1637)

Question 204353: I need help with this rational expression please. I am supposed to find the LCD and convert it into an equvalent rational expression with the LCD as the denominator:
4/(x-y),5x/(2y-2x)
Here's my try: The LCD is 2(x-y)
answer: 8x-8y/2(x-y)
10x^2-10xy/2(x-y)
Thanks
Click here to see answer by jsmallt9(3758)

Question 204380: find the remainder when polynomial 3x^100+5x^85-4x^38+2x^17-6 is divided by x+1
Click here to see answer by stanbon(75887)

Question 204445: Can you help me solve this word problem: 1) A piece of cardboard has a length of 60cm and a width of 40cm. In order to make the cardboard into an open box, a box with no lid), a piece of length x must be cut out of each corner.
-Write an equation to represent each dimension of the box.
-Using the dimensions from part a), find the S.A and Volume of the box. (Remember that it is an open box with no lid.)
Click here to see answer by solver91311(24713)

Question 204462: How do you find the y intercept of f(x)=(x+3)^2(x-2) and how do you find the end behavior and graph f by using pt 1 and 2?
Click here to see answer by stanbon(75887)

Question 204472: how do you find the zeros of f(x)=(x+3)^2(x-2)and determine whether it crosses or touches the x axis and turns?
Click here to see answer by Alan3354(69443)

Question 204503:
Click here to see answer by jim_thompson5910(35256)

Question 204548: Using the simultaneous equation method, find the values of x and y which satisfy the following equations:
3x+2y=22
2x+3y=23
Click here to see answer by alicealc(293)

Question 204560: X ^ 4 � 2 x ^ 2 = 8
That is: x to the fourth minus two x squared equals eight.
Find all solutions for x.
I have attempted this problem several times and am fighting with it, I thought to take the square root of both sides and that didn't work, and I tried adding eight to both sides but I am still stuck and don't know how to proceed. Please help!
Click here to see answer by Earlsdon(6294)

Question 204604: Re: Sums of rational expressions. I am to simplify:
(x-y)/(x+y) + (x+y)/(x-y)
Here is my answer:(x-y)/(x+y) + (x+y)/(x-y)=
(x-y)(x-y)+(x+y)(x+y)/(x+y)(x-y)=
2x^2+2y^2/(x+y)(x-y)
My question is: Did I simpliy this correctly? Can it be simplified further?
Thank you for your help!

Click here to see answer by Earlsdon(6294)

Question 204596: If four out of five doctors prefer fast food,
then at a convention of 445 doctors, how many prefer fast
food?

Click here to see answer by ptaylor(2198)

Question 204642: 1. (x + 5)(2x - 1)
2. 3(x - 4)(x + 3) - 2(4x - 1)(x + 1)
3. Anne Pelletier won a bronze medal for Canada in women's springboard diving at the Summer Olympics in Atlanta. She dove from a springboard with dimensions that can be represented by the binomials 7x - 2 and x - 10.
a) What is the area of the springboard as a polynomial expression?
b) If x represents 70cm, what was the area of the board in square centimeters?

Click here to see answer by alicealc(293)

Question 204627: Show that x-c is not a factor of f(x)= for any real number c.
Click here to see answer by Edwin McCravy(20054)

Question 204682: I need help factoring 12x squared+19x+4
Click here to see answer by nerdybill(7384)

Question 204682: I need help factoring 12x squared+19x+4
Click here to see answer by jim_thompson5910(35256)

Question 204594: The ancient Greeks thought that the
most pleasing shape for a rectangle was one for which the
ratio of the length to the width was approximately 8 to 5,
the golden ratio. If the length of a rectangular painting is
2 ft longer than its width, then for what dimensions would
the length and width have the golden ratio?

Click here to see answer by checkley77(12844)

Question 204713: x2 + 3x -10 x2 + 5X +6
___________ X __________
x2 + 8x +15 x2 + 4X +4
Click here to see answer by checkley77(12844)

Question 204721: If the rise is
3/2 and the run is 5, then what is
the ratio of the rise to the run?

Click here to see answer by Alan3354(69443)

Question 204824: Hi, I was hoping you can help me on this:
(3x+2)^7
Click here to see answer by stanbon(75887)

Question 204815: Factor the polynomial expression. Write each factor as a polynomial in descending order.
x2 + 8x + 15

Click here to see answer by nerdybill(7384)

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