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

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

Question 152023: factor/simplify:
35x^5 - 42x^8

thank you
Click here to see answer by nabla(475)

Question 152025: factor by grouping:
4x^2 + 28x + 24x - 168
Click here to see answer by checkley77(12844)

Question 152022: factor/simplify:
12y^5z^4 + 9yz^3
I am really stuck on factoring. Help is really appreciated. Thank you!
Click here to see answer by checkley77(12844)

Question 152051: Hi!
I am not sure if I got my answer right. The problem is Transforming Equations: -5+y=8
The answer I got for this was y=3; Basically what I did to solve this was, y+-5-5=8-5. I got three out of that.
Help me; Thank You=)
Click here to see answer by vleith(2983)

Question 152059: I am having difficult time with this. It is Transforming equations. I also have to cheack it. 3x+2/2=7
Please and Thank You=)
Click here to see answer by jojo14344(1513)

Question 152136: factor by grouping:
2x^2+12x+3x+18

Click here to see answer by nerdybill(7384)

Question 152135: factor by grouping:
4x^2+28x-24x-168

Click here to see answer by nerdybill(7384)

Question 152146: show that 3x-2 is a factor of 3x^2+x^2-20x+12. thank you.
Click here to see answer by nabla(475)

Question 152153: Solve for the variable I always get these mixed up do you have a fool proof method?
h=[S-(2)(pi)(r^2)]/2(pi)(r)] solve for S
I didn't have a symbol for pi available
h(2(pi)(r) = S-2(pi)(r^2)
h2(pi)r+2(pi)r^2 = S
is this right?

Click here to see answer by vleith(2983)

Question 152145: Without actual division prove that is exactly divisible by . How can we prove that without actual division? I tried to understand but it's too tough for me. Thanks
Click here to see answer by Edwin McCravy(20054)

Question 152162: Solve the following equation for A: 2A/3=8+4A
Click here to see answer by mducky2(62)

Question 152134: simpify:
(-x^3-x+9) + (x+2)

thanks
Click here to see answer by orca(409)

Question 152134: simpify:
(-x^3-x+9) + (x+2)

thanks
Click here to see answer by edjones(8007)

Question 152227: factor:
40x^4y + 52x^3y^2 - 12x^2y^3
Click here to see answer by oscargut(2103)

Question 152226: factor:
4x^3-8x^2-12x
Click here to see answer by nerdybill(7384)

Question 152225: factor: x^2-5x+6

thanks
Click here to see answer by nabla(475)

Question 152223: factor:
x^2+2x+1
thanks
Click here to see answer by nabla(475)

Question 152224: factor:
x^2+8x-9
Click here to see answer by nabla(475)

Question 152239: Factor by grouping, could someone please show me how to solve this equation?

Click here to see answer by oscargut(2103)

Question 152231: Could someone please show me how to divide this equation

Click here to see answer by ankor@dixie-net.com(22740)

Question 152241: Could someone show me how to factor this completely? If it is even possible to do so.

Click here to see answer by oscargut(2103)

Question 152242: I need a little help with this, could you show me how to multiply this expression?

Click here to see answer by oscargut(2103)

Question 152237: Could someone please show me how to simplify this expression?

Click here to see answer by oscargut(2103)

Question 152236: Could someone please show me how to solve this equation.
Multiply

Click here to see answer by Earlsdon(6294)

Question 152249: x2+2xy+y2=
Click here to see answer by nabla(475)

Question 152263: How do you simplify a rational problem like this: 2x^2+6x+4/4x^2-12x-16, whats the answer for this problem?
Click here to see answer by jim_thompson5910(35256)

Question 152265: How do you simplify an rational expression like: 6-y/y^2-2y-24, whats the answer?
Click here to see answer by jim_thompson5910(35256)

Question 152262: How do you simplify a rational expression like: t^2-25/t^2+t-20, whats the answer?
Click here to see answer by jim_thompson5910(35256)

Question 152261: How do you simplify a rational expression like d+7/d^2-49, whats the answer?
Click here to see answer by jim_thompson5910(35256)

Question 152260: How do you simplify a Rational Expression like this: 4x-12/4x, whats the answer?
Click here to see answer by jim_thompson5910(35256)

Question 152275: i dont understand how to factor equations when the exponent is a fraction. help please!

Click here to see answer by nerdybill(7384)

Question 152288: Factor: x^2 + x^3 + 3x + 3
thank you!
Click here to see answer by oscargut(2103)

Question 152131: simplify:
(2x^3+3x^2+2x+2)+(x+1)
I have 4 choices for answer, but my work never gets close to any of them:
a) 2x^2+3x+1 r2
b) 2x^2+3x+1
c) 2x^2+x+1
d) 2x^2+x+1 r1
I really need to see clear instructions on how to compute this type of problem. Thank you very much
Click here to see answer by oscargut(2103)

Question 152132: simplify:
2m^2+2m-4 / m+3

Click here to see answer by oscargut(2103)

Question 152274: [(x^3 - 1)/(x^2 +1)] divided by (9x^2 + 9x + 9)/ (x^2 - x)
= (x-1) (x^2 + x +1)/(x^2 +1) divided by [ 9(x^2 + x + 1)]/[ x (x-1)]
= [(x-1)(x^2 + x + 1)/ (x^2 + 1) ] [x (x-1)/9(x^2 + x + 1)]
= [x (x-1)(x-1) / 9(x^2 + 1)]
can this be simplified more? is this correct?

Click here to see answer by orca(409)

Question 152317: factor:
6x^3 - 12x^2 - 18x

thanks
Click here to see answer by jojo14344(1513)

Question 152326: Factor completely:
a. 4x^2 + 34x +42
b. x^8 - 1
Click here to see answer by checkley77(12844)

Question 152321: factor:
10x^2 + 21x - 10
Click here to see answer by checkley77(12844)

Question 152314: (9.29x)(90.4x)...would any body care to answer this???
Click here to see answer by checkley77(12844)

Question 152320: Factor:

9x^2 - 21x + 10
Click here to see answer by jim_thompson5910(35256)

Question 152428: Can someone please refresh my memory? I really need it Thanks

Solve the following problems involving applications of polynomials.
a. A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo?
b. A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500 ft diagonally.
c. Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers.

Click here to see answer by jojo14344(1513)

Question 152319: factor:
9x^2 + 3x - 2
Click here to see answer by orca(409)

Question 152459: factor:
12x�-16x�-3x+4
Click here to see answer by Edwin McCravy(20054)

Question 152481: How do you Divide this rational expression: x^2-9/4x+12(Divided by)x-3/6? I dont understannd this at all. Whats the answer?
Click here to see answer by Earlsdon(6294)

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, 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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, 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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