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

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

Question 75208: polynomials- find the greatest common factor of the polynomial
15x+45x^2
Click here to see answer by jim_thompson5910(28476)

Question 75260: Find all positive values for k for which the following can be factored.
x^2+x-k
I have no clue what to do with this......can you please help me? Thank you!

Click here to see answer by Edwin McCravy(8879)

Question 75283: Multiply.
7w(2w -3)(2w + 3)

Click here to see answer by jim_thompson5910(28476)

Question 75279: Multiply.
(x -10)(x + 9)

Click here to see answer by jim_thompson5910(28476)

Question 75274: Add, using the vertical method.
5x^2 + 2x – 4, x^2 – 2x - 3, and 2x^2 – 4x -3

Click here to see answer by jim_thompson5910(28476)

Question 75286: Hi I need help with Rational Equations. It says to solve the equation choosing a method.
39. 1/4+4/x=1/x
40. -3x/(x+1)=-2/(x-1)
41. x/6-1/x=1/6
Im using Algebra 1 Concept and Skills By McDougal Chapter 11.7. If you can do these problems and explain them to me I'd be very grateful. Thank You!
Click here to see answer by tutorcecilia(2152)

Question 75278: Multiply.
8pq^2(2pq – 3p + 5q)

Click here to see answer by tutorcecilia(2152)

Question 75238: could someone check this for me please? I have to factor the polynomials
-3s^2-10s+8
=(5*7)(2*4)
Click here to see answer by ankor@dixie-net.com(15623)

Question 75282: Hi I need help with rational equations. The Directions say to Factor First then solve the equation.
1. x/(x+3) + 1/(x-1)= 4/ x^2+2x-3
2. 2/(x-1) - x/(x+3)= 6/ x^2+2x-3
3. 1/(y^2-16)- 2/(y+4)= 2/(y-4)
If you can help me with these and explain them I would very much appriciate
it. The TextBook I'm using is Algebra 1 Concepts and Skills by McDougal. AND im on Chaper 11.7
thank you.
Click here to see answer by ptaylor(2048)

Question 75305: Could you tell me if the answer to this rational expression 3/x +5/x-4 is 3(x-4)+5x/x(x-4)

Click here to see answer by rmromero(383)

Question 75312: please help
Show that 3.6123 (line over 123) is a rational number by writing it as a fraction of integers.
Click here to see answer by Earlsdon(6287)

Question 75321: Show that 0.00315 (line over 15) is a rational number by writing it as a fraction of integers
Click here to see answer by Earlsdon(6287)

Question 75405: Any help on this problem would be great...;)
4x^2-12x-40 divided by 2^2-16+30
I came out with x+2 divided x+3...Is that correct?
Click here to see answer by stanbon(57214)

Question 75400: Use a vertical or horizontal format to add or subtract.
-10(u+1) + 8(u-1) -3(u+6)
Click here to see answer by stanbon(57214)

Question 75407: (5b-7ab+8a)-(5ab-4a)
Click here to see answer by cathieb1225(41)

Question 75399: Use a vertical format or horizontal format to add or subtract:
(6x-5) - (8x+15) + (3x-4)
Click here to see answer by cathieb1225(41)

Question 75404: multiplying polynomials by polynomials:

Click here to see answer by rahman(247)

Question 75432: Factor the GCF 48x^2y+20xz+12xy+5z
Click here to see answer by tutorcecilia(2152)

Question 75319: Hi I need help with rational equations. The directions say to solve the equation choosing a method.
42. x/9-8/x=1/9
43. (x+42)/x = x
If you can do these and explain them I would very much appreiciate it.
Thank You!
Click here to see answer by ankor@dixie-net.com(15623)

Question 75345: x+2y=4
3x-2y=4
Click here to see answer by checkley75(3666)

Question 75482: Find each of the following squares.
(w – 1/4)^2

Click here to see answer by stanbon(57214)

Question 75489: Perform the indicated divisions.
8x^3 -6x^2 + 2x / 4x +1

Click here to see answer by Edwin McCravy(8879)

Question 75514: Multiply.
(x - 10)(x + 9)
Click here to see answer by checkley75(3666)

Question 75512: Geometry. A triangle has sides 3x + 7, 4x - 9, and 5x + 6. Find the polynomial
that represents its perimeter.
thank you
Click here to see answer by checkley75(3666)

Question 75511: Subtract, using the vertical method.
7x2 + 6x from 9x2 - 3

thank you
Click here to see answer by checkley75(3666)

Question 75510: Add, using the vertical method.
5x2 + 2x - 4, x2 - 2x - 3, and 2x2 - 4x - 3
thanks
Click here to see answer by checkley75(3666)

Question 75507: Remove the parentheses in each of the following expressions and simplify when possible.
8d - (-7c - 2d)
thanks
Click here to see answer by checkley75(3666)

Question 75507: Remove the parentheses in each of the following expressions and simplify when possible.
8d - (-7c - 2d)
thanks
Click here to see answer by Blazer(1)

Question 75538: could you help me factor completely? i tried where am i wrong?
x^2+2x-80
x^2+160-3x-80
(x^2+160x)-(3x+80)
x^2(x+160)-3(x+80)
Click here to see answer by stanbon(57214)

Question 75541: i am trying to factor completely?
3x^2-26x+16
=(1x+3)(2x+8)
Click here to see answer by stanbon(57214)

Question 75544: how do i factor this completely?
x^2-36
Click here to see answer by stanbon(57214)

Question 75544: how do i factor this completely?
x^2-36
Click here to see answer by chitra(359)

Question 75496: (x+2) to the 3 power.
I'm only getting half of this right....I am spreading it out, three times, and cross multipling but it's not working. Thanks for your help
Wasn't sure how to put the power in.
Click here to see answer by checkley75(3666)

Question 75543: can someone check this for me please?
6z^3-27z^2+12z
=(2z+3)(2z+6)
Click here to see answer by stanbon(57214)

Question 75486: Geometry. A square has sides of length 3x – 2cm. Express the area of the square as a polynomial.
Click here to see answer by checkley75(3666)

Question 75485: For the following problem, let x represent the number and then write an expression for the product.
The square of 5 more than a number

Click here to see answer by checkley75(3666)

Question 75484: Find each of the following products.
a(a + 5)(a - 5)

Click here to see answer by checkley75(3666)

Question 75480: Find each of the following squares.
(7p + 6q)^2

Click here to see answer by checkley75(3666)

Question 75546: did i factor this right?
5x^2-4xy+5x-4y
5x^2-4xy+5x-4y
(5x^2*4xy+5x)-4y
5x^2+4xy+5x=(1+2x)(1+5x)
=(x+2x)^2
Click here to see answer by stanbon(57214)

Question 75540: could some one check for me please?
b^2-ab-6a^2
=(b+6a)(b-a)
Click here to see answer by checkley75(3666)

Question 75548: can you tell me if i factored this correctly?
64x^2-1
=x(2+8)
Click here to see answer by checkley75(3666)

Question 75550: The distance from a star to a planet is 3.1x10^18m. How long does it take light, traveling at 10^16m/year, to travel from the star to the planet?
Click here to see answer by checkley75(3666)

Question 75558: how do i multiply and write the answer in scientific notation? can you check this for me please?
(2.4x10^-5)(4x10^-4)
2.4*4=9.6
10^-5+10^-4=10^-9
=9.6x10^-9
Click here to see answer by stanbon(57214)

Question 75555: find the value of the polynomial-x^2-10x+6 when x=2
can you please check this for me?
-x^2-10+6
-(-2^2)-10(-2)+6
4+20-6=22
Click here to see answer by Alwayscheerful(414)

Question 75553: did i solve this right?
(4m-3n)(4m+3n)
=4m*4m=16m^2
3n*3n=9n^2
=16m^2+n^2
Click here to see answer by Alwayscheerful(414)

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