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

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

Question 361871: factor by grouping

x^3 + 5x^2 - 7x -35
Click here to see answer by checkley77(12569)

Question 361944: I just turned 16, and I've been on a homeschooling program for about a year and a half now. I do really well with all of the work except one class! I have always struggled with math, algebra in specific. As of right now I'm a senior and I will graduate in June if I stay on track. Which will be super early for me! My only issue is my algebra class, it's holding me back and may keep me from graduating! =[
Please help me!
As of right now I'm factoring polynomials which hardly makes sense to me!
1. 8x+12y-2x^-3xy
2.9x^-16
3.14x^-7x to the third? Idk how to type powers so I'm using ^ as to the second, and anything else I'm just going to type out...
4. x^-6x-5
5. 4x^-12xy+9y^
Please help me!
Click here to see answer by mananth(12270)

Question 361963: Another few I need a quick hand with to get it done. It's due tomro and I'm pressured for time but I need to finish and pass my test! Please continue helping me! It's greatly appreciateddd!
These are still factoring polynomials
1. 4k^ - 25
2. -16^ - 48x - 36
These ones say to solve each equation. I think these might be easier but I'd like to see your work to show me and make sure I'm doing it right. Thank youuu!
3. (y + 9)(2y - 3) = 0
4. m^ + 2m - 15 = 0
5. 8r^ = 24r
6. b2 - 49 = 0
7.(3c + 16) = 0
8. z to the fourth + 8z to the third - 9z^ = 0
9. (y-7)(2y^ + 7y - 15) = 0
Click here to see answer by edjones(7569)

Question 361955: I'm still trying to finish this packet I have... So here's another few questions I'm having a hard time with.
I really appreciate the help, and I reallyyy need it!
1. r to the third + r^ - 6r
2. x^ - 14x + 49
x^ + 1 over 2x + 1 over 16
(as fractions)
3. 81m to the fourth - 16
4. 4- 2q - 6p + 3pq
5. 3n to the third + 12n^ - 36n
6. r^ + r + 3
7. 16x^ - 14x + 3
8. 7b^ - 42b + 56
9. y^ + 4y - 45
10. 8a^ + 23a - 3

Thank you againnn! I just really need to get this class out of my way. It's holding me back from continuing other work and classes that I don't even struggle with. I'm sure you can imagaine my frustration with this! But thank you for the help...
Click here to see answer by edjones(7569)

Question 362021: I'm still trying to finish this packet I have... So here's another few questions I'm having a hard time with.
I really appreciate the help, and I reallyyy need it!
1. r to the third + r^ - 6r
2. x^ - 14x + 49
x^ + 1 over 2x + 1 over 16
(as fractions)
3. 81m to the fourth - 16
4. 4- 2q - 6p + 3pq
5. 3n to the third + 12n^ - 36n
6. r^ + r + 3
7. 16x^ - 14x + 3
8. 7b^ - 42b + 56
9. y^ + 4y - 45
10. 8a^ + 23a - 3
Thank you againnn! I just really need to get this class out of my way. It's holding me back from continuing other work and classes that I don't even struggle with. I'm sure you can imagaine my frustration with this! But thank you for the help...
Click here to see answer by JBarnum(2044)

Question 362032: I need help on factoring polynomials math is my weakest subject and I need a lot of help on it.
Here are some examples of problems I need help on:
1. 12m^5n^2+9m^4n+6m^3n^2
2. 6x^2+3x-15
3. 6x^4-10x^3+3x^2
and I would really appreciate if I can have the steps on how to solve these and problems like these because I'm not really understanding how the book is explaining it. Thank you.
Click here to see answer by edjones(7569)

Question 362058: I need to find the quotient and show all work

This is what I have
64x^2 / 8x = 8x
-100y^2 / 10y = -10y
Is this correct? Can this be solved using long division. I tried that way but it doesn't come out right. I appreciate any help you can give me Thank you!
Click here to see answer by solver91311(16885)

Question 361888: y=x^5-14x^3+49x, find all real zeros.
Click here to see answer by Fombitz(13828)

Question 362288: what is the greatest common factor of 28x to fourth power and 35x to sixth power
I came up with 7x to second power but marked wrong
Click here to see answer by mananth(12270)

Question 362293: how can you factor 28x(2 square) + 13x -6

Click here to see answer by robertb(4012)

Question 362219: Please evaluate the given polynomial:
;
Click here to see answer by edjones(7569)

Question 362328: form a polynomial whose zeros and degree are given. zeros: -1, multiplicity 1; 3, multiplicity 2; degree 3
Click here to see answer by Fombitz(13828)

Question 362279: n^2-4n-3n^2+7n+5n^2
Click here to see answer by Fombitz(13828)

Question 362195: Please Factor:

Click here to see answer by Fombitz(13828)

Question 362459: Find the polynomial with the lowest degree having the following zeros.
2, 2i

Click here to see answer by Fombitz(13828)

Question 362400: Using one of the laws of exponents, prove that any number raised to the 0'th power equals 1.
Click here to see answer by Fombitz(13828)

Question 362468: use the intermediate value theorem to determine (if possible) whether the given function has a zero between -2 and 3.
f(x)=-2x^3-5x^2-1
a. yes
b. no
c. can not tell
Click here to see answer by Fombitz(13828)

Question 362470: list all the possible zeros of the rational function
f(x)=2x^5-3x^2+8
a. 1,2,4,8
b. 1,4,8
c. 2,4,8
d. 1,2,4,8,1/2
Click here to see answer by Fombitz(13828)

Question 362434: Factor completely: 14bx^2 − 7x^3 − 4b + 2x
Click here to see answer by checkley77(12569)

Question 362429: Factor completely: 9ab + 12ax − 6b − 8x
Click here to see answer by checkley77(12569)

Question 362422:
Click here to see answer by checkley77(12569)

Question 362401: What does it mean to completely factor and expression? Illustrate factoring an expression completely by showing which factoring formula(s) you would apply to completely factor the expression "x4 - 1"?

Click here to see answer by checkley77(12569)

Question 362475: find the quotient and the remainder of expression
(3x^3+3x-2)/(x+1)
a. 3x^2+3x-4,6
b. 3x^2-2x,0
c. 3x^2+3x+4,2
d. 3x^2-3x+4,-6
Click here to see answer by stanbon(57348)

Question 362475: find the quotient and the remainder of expression
(3x^3+3x-2)/(x+1)
a. 3x^2+3x-4,6
b. 3x^2-2x,0
c. 3x^2+3x+4,2
d. 3x^2-3x+4,-6
Click here to see answer by Fombitz(13828)

Question 362458: Suppose that a polynomial function of degree 5 with rational coefficients has -2-3i, -5 and square root of 7 as zeros. Find the other zeros.
a. 5, 2+3i
b. -2+3i, -square root of 7
c. 3i, -2
d. 5, -2+3i, square root of 7
e. none of the above
Click here to see answer by CharlesG2(828)

Question 362515:
Click here to see answer by ghali0079(12)

Question 362573: Completely factor each trinomial. factor out any common monomials first (including -1 if necessar).
-4x2y-4x3+24xy2
Click here to see answer by stanbon(57348)

Question 362579: Solve for:
(x*.55)-(x*.2)=7515
Click here to see answer by Fombitz(13828)

Question 362612: I need help with a math problem.
Subtract. (-2a+6b-c)-(-3b+6c-6d)
Click here to see answer by checkley77(12569)

Question 362612: I need help with a math problem.
Subtract. (-2a+6b-c)-(-3b+6c-6d)
Click here to see answer by HasanSahin(52)

Question 362191: Write as a single rational expressions in lowest terms?
((2u^3)/(3cd^2))+((4cv^2)/(9a^3d^3))
Click here to see answer by Fombitz(13828)

Question 362629: What is the maximum number of zeros of the polynomial function f(x) = 5x^13 - 3x^12 + 4x - 7
Click here to see answer by Fombitz(13828)

Question 362640: factor each trinomial , if possible.
13x2+24xy+11y2
Click here to see answer by scott8148(6628)

Question 362653: Factor each trinomial. if possible.
30r5+63r4-30r3
Click here to see answer by checkley77(12569)

Question 362656: Factor each trinomial. if possible.
-y3-13y2-12y
Click here to see answer by unlockmath(1599)

Question 362636: I'm having diffuculty solving this problem.
Add; (9x^2-xy+y^2)+(-x^2-9xy+8y^2)
DO I add across or???
Click here to see answer by checkley77(12569)

Question 362636: I'm having diffuculty solving this problem.
Add; (9x^2-xy+y^2)+(-x^2-9xy+8y^2)
DO I add across or???
Click here to see answer by nyc_function(2733)

Question 362700: I need help with a couple more problems.
Factor check by mulitplying:
x^4-8x^3
Multiply:
(7-x)(9-2x)
Click here to see answer by Alan3354(30993)

Question 362820: I need the anwsers
Click here to see answer by Manny Pacquiao(82)

Question 362821: fractor!!! Cement truck property of equality
Click here to see answer by Manny Pacquiao(82)

Question 362823: fractor each trinomial , if possible.
-13x+3
Click here to see answer by Manny Pacquiao(82)

Question 362638: list all rational zeros
use synthetic division to test the possible rational roots and find an actual root
x^3-2x^2-7x-4=0
Click here to see answer by shorty4aboo(8)

Question 362913: Good evening!
I'm having trouble finding the zeros for f(t) = t^5 -6t^3 + 9t
I tried factoring:
= t(t^4 - 6t^2 + 9)
= t(t^2 -3)^2
t = 0
(t^2 - 3)^2 = 0
sqrt of both sides (can i do that?)
t^2 - 3 = 0
t = +/- sqrt(3)
This definitely doesn't look right but I'm not sure how else to solve this. Any help you can provide is great appreciated! Thanks for your time :)
Click here to see answer by Edwin McCravy(8909)

Question 362980: (7x^2-12)^(1/4)=x
Can you show the steps to solving this question?
Click here to see answer by Fombitz(13828)

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