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

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

Question 530088: factor the following polynomial:
12a^2+8a-15
Click here to see answer by jim_thompson5910(28715)

Question 530032: Help me to divide 3x^2-5x-2/6x^2-3x by -x^2-x+6/2x^2+5x-3
Click here to see answer by ankor@dixie-net.com(15746)

Question 530124: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
x2 = -4x – 4
Two different rational solutions
Exactly one rational solution
Two different irrational solutions
Two different imaginary solutions
Click here to see answer by stanbon(57967)

Question 530122: Given the quadratic function f(x) = x2 – 12x + 36, find a value of x such that f(x) = 25
Click here to see answer by stanbon(57967)

Question 530186: Find the factor of:
2a + 7
-----------
a2 - 2a - 15

Click here to see answer by jim_thompson5910(28715)

Question 530214: The scale on a map indicates that 1 inch on the map corresponds to an actual distance of 105 miles. Two cities are 4.5 inches apart on the map. What is the actual distance between the two cities?
Click here to see answer by jim_thompson5910(28715)

Question 530219: factor completely 10x^2-29x-3
Click here to see answer by jim_thompson5910(28715)

Question 530191: Find the factor of:
2a+7 3a-4
--------- - ------------
a^2-2a-15 a^2-7a+10
Click here to see answer by ankor@dixie-net.com(15746)

Question 530301: x+3/x-5-x-3/x+5=

Click here to see answer by lmeeks54(105)

Question 530289: Factor Completely
3x^4 + 6x^3 - 45x^2

Click here to see answer by nerdybill(7008)

Question 530244: can you please show me the steps on how to solve this problem? thank you!
What is 5/2x + 3/2x?
Click here to see answer by nerdybill(7008)

Question 530349: please help me to solve 1/3 = 4/n-1
Click here to see answer by jim_thompson5910(28715)

Question 530432: What is (r+1/4) times (r+1/2)?
I tried to get the common denominator and add like terms but it did not work
Click here to see answer by Earlsdon(6294)

Question 530471: x^2-11x+24
Click here to see answer by stanbon(57967)

Question 530446: Multiply
-5x + 4
by
4x2 + x
Click here to see answer by rfer(12730)

Question 530442: Use polynomial long division to divide
-9x3 – 18x2 – 11x – 2
by
-3x2 – 5x – 2
Click here to see answer by Edwin McCravy(8999)

Question 530498: Essay: Show all work. Find the following quotient: 16x^2 - 9y^2/4x + 3y
Click here to see answer by jim_thompson5910(28715)

Question 530539: (9x^2-21x-20)divided by (x-1)
Click here to see answer by stanbon(57967)

Question 530347: PLEASE HELP SOLVE x-5/3 > x/5 - 2
Click here to see answer by lwsshak3(6763)

Question 530330: PLEASE HELP!
The denominator of a fraction is 2 more than its numerator. if 1/2 is added to the fraction, the result is 11/10. Find the fraction.
Click here to see answer by sudhanshu_kmr(1152)

Question 530649: Factorize completely xcubed+2xsquared+3x+6
Click here to see answer by nerdybill(7008)

Question 530837: find all numbers for which the rational expression is undefined. -17/7y
Click here to see answer by jim_thompson5910(28715)

Question 530878: perform the indicated operation
8n-[9n-(4n+5)
Click here to see answer by jim_thompson5910(28715)

Question 530914: 25y^2-10y+1
Click here to see answer by jim_thompson5910(28715)

Question 531014: I only have a few hours left to turn in my assignment and really need help with these problems. I have already completed over 50 problems and keep getting things confused so I'm not even sure if those are correct. Please help! I would greatly appreciate being shown how to solve these problems. Thanks in advance!

1. Find the following. 12^sqrt(-5)^12
2. Multiply (-3x)^2(2x^8)^2
3. Use the foil method to find the product (3x^3-4)(x^6-1)
4. Divide and simplify 3x-27/14 divide by x-9/6x
5. Find all numbers for which the rational expression is undefined. q^3-2q/q^2-16
6. Multiply (5x+4)(7x^2+9x+4)
7. Factor completely 3x^5-27x^4+9x^3
8. Subtract. Simplify, if possible. (4-v/v-7)-(6v-5/7-v)
9. Perform the indicated operations and simplify (y-6/y-8) – (y+1/y+8 )+(y-40/y^2-64)
10. Simplify by taking roots of the numerator and the denominator 3^sqrt 8x^14/y^3
11. Multiply and simplify. (4b^2/4b^2-24b+36)(4b-12/2b)
12. Solve. 2/v=6/v-1/3
13. Add. Simplify if possible. (3w/w^2-25) + (w/w-5)

Click here to see answer by jim_thompson5910(28715)

Question 531041: x(to the fourth) +8x(squared)+15=0
Click here to see answer by oberobic(2304)

Question 531099: I still need some assistance with these problems, the ones I think I have right I wrote down so someone could check it over for me. I would greatly appreciate any help on those problems and the ones I have not been able to figure out. Thanks so much in advance!
1. Divide and simplify 3x-27/14 divide by x-9/6x
2. Find all numbers for which the rational expression is undefined. q^3-2q/q^2-16
3. Multiply (5x+4)(7x^2+9x+4)
*is the answer (5x)(7x^2)+(5x)(9x)+(5x)(4)+(4)(7x^2)+(4)(9x)+(4)(4)
35x^3+45x^2+20x+28x^2+36x+16
answer**35x^3+73x^2+56x+16
4. Factor completely 3x^5-27x^4+9x^3
*is this answer 3x^3(x-3)(x-3)?
5. Subtract. Simplify, if possible. (4-v/v-7)-(6v-5/7-v)
*is the answer 9-7v/2v-14?
6. Perform the indicated operations and simplify (y-6/y-8) – (y+1/y+8 )+(y-40/y^2-64)
*is the answer y-47/(y+8)(y-8)?
7. Simplify by taking roots of the numerator and the denominator 3^sqrt
8x^14/y^3
8. Multiply and simplify. (4b^2/4b^2-24b+36)(4b-12/2b)
9. Solve. 2/v=6/v-1/3
10. Add. Simplify if possible. (3w/w^2-25) + (w/w-5)
*is the answer 4w/w^3-30?

Click here to see answer by oberobic(2304)

Question 531151: How do you factor 4x^2 + 9x + 2
NOTE: the ^2 is a exponent, not sure how else to write them here.
Click here to see answer by josmiceli(9817)

Question 531260: Clear fractions solve, and check
5/-6+x=1/-2-2/3
Some of my work. 5/-6+x=1/-2- 2/3 I changed the right side to -3/6-4/6 which would be 7/6. which would leave me with 5/-6+x=7/6.
Click here to see answer by stanbon(57967)

Question 531318: Perform indicated operations. Simplify if possible. 3p-3 over p multiplied by 5p^2 over 8p-8?
Click here to see answer by solver91311(17077)

Question 47764: Please help solve for x and check the answer
Solve. 8x – 11 = 2x + 1
Click here to see answer by chiga89(2)

Question 531433: solve by substitution method
0.1x+0.3y=-0.7
0.9x-0.2y=8.2
Click here to see answer by stanbon(57967)

Question 531485: Problem: 5X^2+75=25X
What I've got so far:
5X^2-25X+75=0
(5x- )(x- )
or (5x-25)(x+3)
I tried to separate the 25X and 75 from the equation and since 25X isn't squared it didn't simplify into 2 sets of parentheses. Then I combined the GCF of 25x and 75 with the 5x^2 and it doesn't multiply out to get the same thing as the problem. I have a huge test tomorrow that might help save my grade so I kinda need some help!
Click here to see answer by scott8148(6628)

Question 531527: 3p-7p+14p comibine like terms

Click here to see answer by rfer(12730)

Question 531609: Can you help me find the Values for the variables for the problem:
x^2 - 10x + 16 =0
? thx :)
Click here to see answer by jim_thompson5910(28715)

Question 531598: How do I factor:
7-6b-b^2=
? Thank you
Click here to see answer by ankor@dixie-net.com(15746)

Question 531781: i need to solve 4/9 + a = -2/9
Click here to see answer by oberobic(2304)

Question 531951: Find a 4th degree polynomial fucntions f(x) with real coefficients that has 3,4, and i as zeros and such that f(1)=24
Click here to see answer by la080360(1)

Question 532220: (8x3 - 2x2 + 6) + (2x3 + 5x + 2)
Click here to see answer by rfer(12730)

Question 532226: I have to write the simplest polynomial function with the given zeros. 1. (1,4,-3) 2. (.5,5,-2) 3. (2i,square root of 3,4) 4. (square root of 2,-5,-3i)
Click here to see answer by solver91311(17077)

Question 532326: write the expression 9n^6+7n^3-6 in quadratic form if possible
Click here to see answer by stanbon(57967)

Question 532685: This is factoring perfect Square trinomials, this is the problem, m^2 - 2m + 1
We are to determine whether this is a perfect square. This is my answer: (m+1)(m+1) I know it's a perfect square but I know this is not the right answer to it. Could you please show me step by step how to do this one please?
Click here to see answer by stanbon(57967)

Question 532726: How do i COMPLETE THE SQUARE:
b^2-22b+_?
Click here to see answer by boilpoil(127)

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