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

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

Question 269799: Can someone help me solve this expression. 25a^2 - 23a - 2
Click here to see answer by checkley77(12569)

Question 269914: 14W +42/7 =2W +5
Click here to see answer by checkley77(12569)

Question 269912: 3/4(y-3) = 2/5(y+4)
Click here to see answer by checkley77(12569)

Question 269909: 4(7s-3)-7(3s-5)= 0
how do you solve?
Click here to see answer by checkley77(12569)

Question 269899: x^2 +5x+4 . x^2 +5x - 14
__________________________________
x^2-6x +8 x^2 +8x +7

I have to multiply and simplify
Click here to see answer by checkley77(12569)

Question 269966: Here is another one. Maybe once I get the hang of it I won't have to ask so many questions :)
(x^2)/(3x^2-5x-2) - (2x)/(3x+1) x (1)/(x-2)
The help is again appreciated. Some day I will have to understand this, I am sure it will be on a test! :)
Click here to see answer by dabanfield(803)

Question 269984: How do I factor this trinomial?
30a^2+am-m^2
Click here to see answer by scott8148(6628)

Question 269928: If an object is propelled upward from ground level with an initial velocity of 92.5 feet per second, its height h in feet t seconds later is given by the equation h = 92.5t - 16t2. After how many seconds does the object hit the ground? Round your answer to the nearest tenth.
Click here to see answer by dabanfield(803)

Question 269957: I am not understanding how to add polynomials that are in fraction form.
(-2)/(y^2-9) + (4y)/(y-3)^2 + (6)/(3-y)
I have never used this before so I hope the way I entered it makes sense. I really struggle with regular polynomials so this really throws me for a loop. Your help is appreciated. Thank you!
Click here to see answer by ankor@dixie-net.com(15646)

Question 270015: Rationalize the denominator: 5_
√3
Rationalize the denominator ____5__
2 + √3
Click here to see answer by edjones(7569)

Question 270078: Could someone help me find the product:
(3-2x)^2
Thanks
Click here to see answer by palanisamy(496)

Question 270111: (6c+9)(6c-9) find the product

Click here to see answer by palanisamy(496)

Question 270115: Solve (2/7)+(1/2)=(1/x) What is the solution of x?
Click here to see answer by mananth(12270)

Question 270121: Solve the following equation for the variable of x: (6/x-4)+(7/x+4)=6x/x^2-16
Click here to see answer by mananth(12270)

Question 270182: I have to use the FOIL to find the product. Express the product as descending powers of the variable.

(5x^3 -4) (x+5x^2)
This is what I have tried, but I am not sure this is right

F(5x^3) (x)=5x^3

O(5x^3) (5x^2)=10x^6
I (-4) (x)= -4x

L (-4) (5x^2 ) = -20x^2

10x^6 +5x^3 -20x^2 -4x (I am not sure if this is right, please help me)
Click here to see answer by Theo(3458)

Question 270226: Please help me factor the following completely:
x^2-6x+8
Thanks
Click here to see answer by Theo(3458)

Question 270226: Please help me factor the following completely:
x^2-6x+8
Thanks
Click here to see answer by CharlesG2(828)

Question 270184: Add and then simplify
3x+4 2x+9
---- ----
x-1 x-1
Click here to see answer by jim_thompson5910(28536)

Question 270261:
Click here to see answer by jim_thompson5910(28536)

Question 270263:
Click here to see answer by jim_thompson5910(28536)

Question 270271: Can you show me how to find the degree of the polynomial:
4x^2+9=
Its actually 4x to the second +9 how do i show to the second on the computer what do I press thanks
Click here to see answer by jim_thompson5910(28536)

Question 270316: Can 2 be a solution to the equation
6x/x+1 - x/x-2

Explain your answer.
Click here to see answer by Alan3354(30993)

Question 270363: Please factor
2y^4-5y^2-12
Click here to see answer by Alan3354(30993)

Question 270366: factor by grouping, ab+10a-2b-20
Click here to see answer by JBarnum(2044)

Question 270392: in maryland speed fine are determined by formula f=10(x-65) +50 where f is the cost in dollar of the fine if a person is caught drriving x miles per hours.
a fine comes to $400. how fast was the person speeding

Click here to see answer by checkley77(12569)

Question 270431: The area for a square sandbox is 9x2 + 6x + 1. What is the side length of the sandbox?
Click here to see answer by Greenfinch(383)

Question 270393: the water current is 2 miles per hour . a canoe can travel 6 mile downstream with the current, in the same amount of time it travel 2 miles upstream against the current. what is the canoe rate in still water?
Click here to see answer by scott8148(6628)

Question 270498: 2(9n-1)+7(n+6)=-60
Click here to see answer by vleith(2825)

Question 270620: Factor
5x^2 + 34x + 24

This is what I have tried
A=5, B=34, C=24
AC=5*24=120
I need to find the product of 120 and who sum is 34
The numbers are 4 and 30, because 4*30=120 and 4+30=34
replace middle term with 34x instead of 4x and 30x
5x^2 + 34x +24 = (5x^2 + 4x)+ (30x + 24)
Click here to see answer by edjones(7569)

Question 270613: You invested money in two funds. Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received a total $1,047. This year, the fund paid a 10% dividend and the second only 1% and you received a total of $826. How much money did you invest in each fund?

I am so confused witth this problem! Can someone please help me?
Click here to see answer by Theo(3458)

Question 270665: Solve by the addition method
5x-2y= -1
7y= 24 -3x

This is what I have tried:
I rearrange the problem
Ax=By=C
5x-2y=-1 multiply by 3 15x+6y=-3
-3x+7y=24 multiply by 5 -15x+35y=120
= 41y =117
divide both sides by 41
y=117/41

Click here to see answer by rfadrogane(214)

Question 270699: 6d^3/2d
Click here to see answer by Ignigena(1)

Question 270752: how do you solve operations with polynomials?

Click here to see answer by stanbon(57290)

Question 270819: Find the value when x = 9 and y = -5.
x3 + y3 thank you I need help showing how to do this one.
Click here to see answer by stanbon(57290)

Question 270822: I don't understand this question:
Simplify the expression.
4wxy - 8wxy
Click here to see answer by JBarnum(2044)

Question 270817: can you please show me how to do this one:
Consider the polynomial function P(x) = 2x2 + x + 3 and find the following value
f(7) thank you
Click here to see answer by JBarnum(2044)

Question 270888: A line from the top of a cliff to the ground passes just over the top of a pole 8.0 ft high and meets the ground at a point 9.0 ft from the base of the pole. If the point is 65 ft from the base of the cliff, how high is the cliff? Round to the nearest unit.
Click here to see answer by rfer(12654)

Question 271070: Use factoring to solve the quadratic equation, check by substitution or by using a graphing utility and identifying x-intercepts.
x^2-x-72=0
Click here to see answer by LarissaRichardson(34)

Question 271081: What is "x" squared plus 2x-15? Thank you!
Click here to see answer by LarissaRichardson(34)

Question 271082: What is 4x squared-x-5? Thank you!
Click here to see answer by LarissaRichardson(34)

Question 271080: What is "a" cubed -45-9a plus 5a squared?
Click here to see answer by LarissaRichardson(34)

Question 271116: Please help me solve this equation: {{ 1/a+1/b; solve for a }}
Click here to see answer by edjones(7569)

Question 271112: Please help me solve this equation: {{ z-4/z-3=z+2/z+1 }}
Click here to see answer by edjones(7569)

Question 271115: Please help me solve this equation: {{ b+2/(b+3)+1 = -7/ b-5 }}
Click here to see answer by mananth(12270)

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, 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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